%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.00",
%%%     date            = "12 August 2025",
%%%     time            = "07:19:21 MDT",
%%%     filename        = "fletcher-roger.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     URL             = "https://www.math.utah.edu/~beebe",
%%%     checksum        = "34600 6432 28095 291927",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                       beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; mathematical
%%%                        programming; constrained and unconstrained
%%%                        numerical optimization; Barzilai-Borwein
%%%                        method; BFGS
%%%                        (Broyden--Fletcher--Goldfarb--Shanno) method;
%%%                        biconjugate gradient method; DFP
%%%                        (Davidon--Fletcher--Powell) method; FM
%%%                        (Fletcher--Matthews) method; FR
%%%                        (Fletcher--Reeves) method; numerical
%%%                        analysis; Roger Fletcher",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a nearly complete bibliography of
%%%                        works by, and about, the distinguished
%%%                        numerical analyst Roger Fletcher (29 January
%%%                        1939--15 July 2016).
%%%
%%%                        No curriculum vitae for Roger Fletcher has
%%%                        yet been located, but in the interview in
%%%                        entry Dai:2006:IRF, Fletcher reported that he
%%%                        had over 120 publications in his CV.  All of
%%%                        the 64 publications in the memoir (entry
%%%                        Gould:2025:RFJ) are included here in Part 1,
%%%                        with values in the GH-number fields.  Part 1
%%%                        contains an additional 61 entries that are
%%%                        not listed in the memoir.  All but 10 of the
%%%                        entries in this bibliography have been
%%%                        located and recorded independently of
%%%                        checking against the list in that memoir.
%%%
%%%                        Roger Fletcher was born and raised in
%%%                        Huddersfield, Yorkshire, UK.  He began his
%%%                        post-school studies in Selwyn College at the
%%%                        University of Cambridge in 1957, and
%%%                        completed a BA degree in theoretical physics
%%%                        in 1960.  His interest in computers began
%%%                        there on the Cambridge EDSAC. He then moved
%%%                        to the University of Leeds where he completed
%%%                        a Ph.D.  under Colin Reeves in 1963, working
%%%                        on the Ferranti Pegasus computer.  He
%%%                        remained at Leeds as a Lecturer [Assistant
%%%                        Professor] until 1969.
%%%
%%%                        Roger Fletcher moved in 1969 to the Atomic
%%%                        Energy Research Establishment (AERE) in
%%%                        Harwell, Berkshire, UK where he became a
%%%                        major contributor to the Harwell Subroutine
%%%                        Library (HSL), the ``world's first dedicated
%%%                        library of [Fortran] subroutines for
%%%                        performing tasks of use to scientists at
%%%                        Harwell and elsewhere''.  His HSL routines
%%%                        include LA02, VA07, VA08, VA09, VA10, VB01,
%%%                        VE01, VE02, VE03, and VE04.
%%%
%%%                        In 1973, Roger Fletcher took a post as
%%%                        Senior Lecturer in the Department of
%%%                        Mathematics at the University of Dundee.
%%%                        He was soon promoted to Reader [Associate
%%%                        Professor], then in 1984 to Baxter Professor
%%%                        of Mathematics.  He remained there until his
%%%                        retirement at 66 in 2005, but continued his
%%%                        research as an Emeritus Professor and Senior
%%%                        Research Fellow.  This bibliography records
%%%                        17 of his publications during that time.
%%%
%%%                        Roger Fletcher was an avid hiker, and on 5
%%%                        June 2016, he set off alone on a hike in the
%%%                        west of Scotland.  He failed to return and an
%%%                        extensive search failed to locate him.  His
%%%                        remains were finally found on 15 July 2016 by
%%%                        a police-dog team.
%%%
%%%                        Roger Fletcher was elected a Fellow of the
%%%                        Fellow of the Royal Society of Edinburgh
%%%                        (FRSE) in 1998, a Fellow of the Royal Society
%%%                        (FRS) in 2003, and Fellow of the Institute of
%%%                        Mathematics and its Applications (IMA) [year
%%%                        unknown].  He was awarded the Dantzig Prize
%%%                        in optimization (jointly with Stephen
%%%                        Robinson) in 1997, the Lagrange Prize
%%%                        in Continuous Optimization (shared with
%%%                        Philippe Toint and Sven Leyffer) from
%%%                        SIAM in 2006, the FRSE Royal Medal in 2008
%%%                        ``outstanding contribution to mathematics and
%%%                        software development'', and was elected a
%%%                        SIAM Fellow in 2009 ``For contributions to
%%%                        numerical continuous optimization''.
%%%
%%%                        According to the Mathematics Genealogy
%%%                        Project at
%%%
%%%                            https://www.mathgenealogy.org/id.php?id=52148
%%%
%%%                        Roger Fletcher has 5 doctoral students, and
%%%                        22 academic descendants.
%%%
%%%                        At version 1.00, the year coverage looked
%%%                        like this:
%%%
%%%                             1952 (   1)    1977 (   1)    2002 (   5)
%%%                             1953 (   0)    1978 (   0)    2003 (   4)
%%%                             1954 (   0)    1979 (   3)    2004 (   2)
%%%                             1955 (   0)    1980 (   4)    2005 (   6)
%%%                             1956 (   0)    1981 (   6)    2006 (  10)
%%%                             1957 (   0)    1982 (   8)    2007 (   0)
%%%                             1958 (   0)    1983 (   3)    2008 (   0)
%%%                             1959 (   1)    1984 (   4)    2009 (   0)
%%%                             1960 (   0)    1985 (   5)    2010 (   3)
%%%                             1961 (   0)    1986 (   5)    2011 (   1)
%%%                             1962 (   0)    1987 (   5)    2012 (   3)
%%%                             1963 (   3)    1988 (   1)    2013 (   1)
%%%                             1964 (   1)    1989 (   4)    2014 (   1)
%%%                             1965 (   1)    1990 (   6)    2015 (   4)
%%%                             1966 (   2)    1991 (   4)    2016 (   3)
%%%                             1967 (   0)    1992 (   0)    2017 (   1)
%%%                             1968 (   2)    1993 (   2)    2018 (   1)
%%%                             1969 (   5)    1994 (   5)    2019 (   2)
%%%                             1970 (  11)    1995 (   3)    2020 (   0)
%%%                             1971 (   2)    1996 (   2)    2021 (   1)
%%%                             1972 (   3)    1997 (  10)    2022 (   1)
%%%                             1973 (   3)    1998 (   5)    2023 (   0)
%%%                             1974 (   7)    1999 (   1)    2024 (   0)
%%%                             1975 (   4)    2000 (   4)    2025 (   2)
%%%                             1976 (   4)    2001 (   1)
%%%
%%%                             Article:        117
%%%                             Book:             9
%%%                             InCollection:     4
%%%                             InProceedings:   34
%%%                             Misc:             1
%%%                             PhdThesis:        1
%%%                             Proceedings:     15
%%%                             TechReport:      12
%%%
%%%                             Total entries:  193
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

@Preamble{"\input path.sty" #
    "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
    "\ifx \undefined \mathsf       \def \mathsf #1{{\sf #1}}\fi"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:

@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|https://www.math.utah.edu/~beebe/|"}

%%% ====================================================================
%%% Institution abbreviations:

@String{inst-HARWELL            = "{AERE Harwell} Laboratory"}
@String{inst-HARWELL:adr        = "Chilton, Oxon, England"}

@String{inst-RAL                = "Rutherford Appleton Laboratory"}
@String{inst-RAL:adr            = "Chilton, Oxon, England"}

@String{inst-U-DUNDEE           = "Department of Mathematics and Computer
                                  Science, University of Dundee"}
@String{inst-U-DUNDEE:adr       = "Dundee, Scotland"}

%%% ====================================================================
%%% Journal abbreviations:

@String{j-ACTA-NUMERICA         = "Acta Numerica"}

@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-ANN-OPER-RESEARCH     = "Annals of Operations Research"}

@String{j-APPL-MATH-COMP        = "Applied Mathematics and Computation"}

@String{j-APPL-STAT             = "Applied Statistics"}

@String{j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC = "Biographical Memoirs of Fellows of
                                  the Royal Society"}

@String{j-BULL-INST-MATH-APPL   = "Bulletin of the Institute of Mathematics and
                                  its Applications"}

@String{j-CACM                  = "Communications of the ACM"}

@String{j-CAN-ELECTR-ENG-J      = "Canadian Electrical Engineering Journal =
                                  Revue canadienne de g{\'e}nie
                                  {\'e}lectrique"}

@String{j-CHEM-PHYS-LETT        = "Chemical Physics Letters"}

@String{j-COMP-CHEM-ENG         = "Computers \& Chemical Engineering"}

@String{j-COMP-J                = "The Computer Journal"}

@String{j-COMP-OPTIM-APPL       = "Computational Optimization and Applications"}

@String{j-COMP-PHYS-COMM        = "Computer Physics Communications"}

@String{j-COMPUTING             = "Computing"}

@String{j-CVGIP                 = "Computer Vision, Graphics, and Image
                                  Processing"}

@String{j-HEWLETT-PACKARD-J     = "Hew\-lett-Pack\-ard Journal: technical
                                  information from the laboratories of
                                  Hew\-lett-Pack\-ard Company"}

@String{j-IEEE-TRANS-POWER-APPAR-SYST = "IEEE Transactions on Power Apparatus
                                  and Systems"}

@String{j-IMA-BULL              = "IMA Bulletin"}

@String{j-IMA-J-APPL-MATH       = "IMA Journal of Applied Mathematics"}

@String{j-IMA-J-NUMER-ANAL      = "IMA Journal of Numerical Analysis"}

@String{j-J-APPL-ECONOMETRICS   = "Journal of Applied Econometrics"}

@String{j-J-APPROX-THEORY       = "Journal of Approximation Theory"}

@String{j-J-COMPUT-APPL-MATH    = "Journal of Computational and Applied
                                  Mathematics"}

@String{j-J-COMPUT-CHEM         = "Journal of Computational Chemistry"}

@String{j-J-INST-MATH-APPL      = "Journal of the Institute of Mathematics and
                                  its Applications"}

@String{j-J-RES-NATL-BUR-STAND-1934 = "Journal of Research of the National
                                  Bureau of Standards (1934)"}

@String{j-J-OPT-THEORY-APPL     = "Journal of Optimization Theory and
                                  Applications"}

@String{j-J-PHYS-C              = "Journal of Physics C: Solid State Physics"}

@String{j-LECT-NOTES-COMP-SCI   = "Lecture Notes in Computer Science"}

@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and its Applications"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-PROG             = "Mathematical Programming"}

@String{j-MATH-PROG-STUDY       = "Mathematical Programming Study"}

@String{j-NUM-LIN-ALG-APPL      = "Numerical Linear Algebra with Applications"}

@String{j-NUM-MATH              = "{Numerische Mathematik}"}

@String{j-NUMER-ALGEBRA-CONTROL-OPTIM = "Numerical Algebra, Control and
                                  Optimization"}

@String{j-NUMER-ALGORITHMS      = "Numerical Algorithms"}

@String{j-OPTIM-METHODS-SOFTW   = "Optimization Methods and Software"}

@String{j-SIAM-J-MAT-ANA-APPL   = "SIAM Journal on Matrix Analysis and
                                  Applications"}

@String{j-SIAM-J-CONTROL-OPTIM  = "SIAM Journal on Control and Optimization"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-OPT            = "SIAM Journal on Optimization"}

@String{j-SIAM-J-SCI-COMP       = "SIAM Journal on Scientific Computing"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and Statistical
                                  Computing"}

@String{j-SIAM-NEWS             = "SIAM News"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-THEORY-PROBAB-APPL    = "Theory of Probability and its Applications"}

@String{j-Z-ANGE-MATH-MECH      = "{Zeitschrift f{\"u}r Angewandte Mathematik
                                  und Mechanik}"}

%%% ====================================================================
%%% Publisher abbreviations::

@String{pub-ACADEMIC            = "Academic Press"}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"{a}}user"}
@String{pub-BIRKHAUSER:adr      = "Cambridge, MA, USA; Berlin, Germany; Basel,
                                  Switzerland"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-GORDON-BREACH       = "Gordon and Breach"}
@String{pub-GORDON-BREACH:adr   = "New York, NY, USA"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-KLUWER              = "Kluwer Academic Publishers Group"}
@String{pub-KLUWER:adr          = "Norwell, MA, USA, and Dordrecht,
                                  The Netherlands"}

@String{pub-LONGMAN-ST          = "Longman Scientific and Technical"}
@String{pub-LONGMAN-ST:adr      = "Harlow, Essex, UK"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-WILEY               = "Wiley"}
@String{pub-WILEY:adr           = "New York, NY, USA"}

@String{pub-WILEY-INTERSCIENCE  = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WILEY-INTERSCIENCE:adr = "New York, NY, USA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing
                                  Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128"}

%%% ====================================================================
%%% Series abbreviations:

@String{ser-LNCS                = "Lecture Notes in Computer Science"}

@String{ser-LNM                 = "Lecture Notes in Mathematics"}

%%% ====================================================================
%%%                 Part 1: Works by Roger Fletcher
%%%
%%% Bibliography entries, sorted by year, and then by citation label:

@PhdThesis{Fletcher:1963:ACM,
  author =       "Roger Fletcher",
  title =        "The automatic computation of molecular wave-functions
                 and a study of some mathematical problems involved",
  type =         "{Ph.D.} thesis",
  school =       "Department of Mathematics, University of Leeds",
  address =      "Leeds, UK",
  year =         "1963",
  bibdate =      "Sat Aug 09 16:44:28 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  advisor =      "Colin M. Reeves",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "1",
}

@Article{Fletcher:1963:MAD,
  author =       "R. Fletcher and C. M. Reeves",
  title =        "A Mechanization of Algebraic Differentiation and the
                 Automatic Generation of Formulae for Molecular
                 Integrals of {Gaussian} Orbitals",
  journal =      j-COMP-J,
  volume =       "6",
  number =       "3",
  pages =        "287--292",
  month =        nov,
  year =         "1963",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/6.3.287",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Sep 29 08:55:49 MDT 2000",
  bibsource =    "http://comjnl.oxfordjournals.org/content/6/3.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/6/3/287.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/060287.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/287.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/288.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/289.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/290.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/291.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_03/tiff/292.tif",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Fletcher:1963:RCD,
  author =       "R. Fletcher and M. J. D. Powell",
  title =        "A Rapidly Convergent Descent Method for Minimization",
  journal =      j-COMP-J,
  volume =       "6",
  number =       "2",
  pages =        "163--168",
  month =        aug,
  year =         "1963",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/6.2.163",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  MRclass =      "65.30",
  MRnumber =     "152116",
  bibdate =      "Fri Sep 29 08:55:47 MDT 2000",
  bibsource =    "http://comjnl.oxfordjournals.org/content/6/2.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/6/2/163.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/060163.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/163.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/164.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/165.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/166.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/167.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_02/tiff/168.tif",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "The Computer Journal",
  GH-number =    "2",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  mynote =       "Second most cited paper in Math or Computer Science
                 1961-82. Fifth most cited 1945-88.",
  xxyear =       "1963/64",
}

@Article{Fletcher:1964:FMC,
  author =       "R. Fletcher and C. M. Reeves",
  title =        "Function Minimization by Conjugate Gradients",
  journal =      j-COMP-J,
  volume =       "7",
  number =       "2",
  pages =        "149--154",
  month =        jul,
  year =         "1964",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/7.2.149",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  MRclass =      "65.30",
  MRnumber =     "187375",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://comjnl.oxfordjournals.org/content/7/2.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib;
                 Theory/Matrix.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/7/2/149.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/070149.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/149.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/150.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/151.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/152.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/153.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_07/Issue_02/tiff/154.tif",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "The Computer Journal",
  GH-number =    "3",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  keywords =     "nlop, conjugate gradients",
}

@Article{Fletcher:1965:FME,
  author =       "R. Fletcher",
  title =        "Function Minimization Without Evaluating Derivatives
                 --- a Review",
  journal =      j-COMP-J,
  volume =       "8",
  number =       "1",
  pages =        "33--41",
  month =        apr,
  year =         "1965",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/8.1.33",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  MRclass =      "65.30",
  MRnumber =     "187377",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://comjnl.oxfordjournals.org/content/8/1.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib;
                 Theory/Matrix.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/8/1/33.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/080033.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/33.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/34.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/35.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/36.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/37.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/38.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/39.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/40.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_01/tiff/41.tif",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  keywords =     "nlop",
}

@Article{Bradbury:1966:NIM,
  author =       "W. W. Bradbury and R. Fletcher",
  title =        "New Iterative Methods for Solution of the
                 Eigenproblem",
  journal =      j-NUM-MATH,
  volume =       "9",
  number =       "3",
  pages =        "259--267",
  month =        dec,
  year =         "1966",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02162089",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65.40",
  MRnumber =     "219230",
  MRreviewer =   "N. Gastinel",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Numerische Mathematik",
  GH-number =    "4",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "conjugate gradients; eig; nla; sparse",
}

@Article{Fletcher:1966:CAF,
  author =       "R. Fletcher",
  title =        "Certification of {Algorithm 251}: {Function}
                 minimisation",
  journal =      j-CACM,
  volume =       "9",
  number =       "9",
  pages =        "686--687",
  month =        sep,
  year =         "1966",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:09 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Communications of the ACM",
  journal-URL =  "https://dl.acm.org/loi/cacm",
}

@Article{Fletcher:1968:GIM,
  author =       "R. Fletcher",
  title =        "Generalized Inverse Methods for the Best Least Squares
                 Solution of Systems of Non-Linear Equations",
  journal =      j-COMP-J,
  volume =       "10",
  number =       "4",
  pages =        "392--399",
  month =        feb,
  year =         "1968",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/10.4.392",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  MRclass =      "65.50",
  MRnumber =     "221748",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://comjnl.oxfordjournals.org/content/10/4.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib;
                 Theory/Matrix.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/10/4/392.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/100392.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/392.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/393.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/394.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/395.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/396.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/397.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/398.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/399.tif",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  keywords =     "nlop, ginv, lsq, nllsq",
}

@InProceedings{Fletcher:1969:ATN,
  author =       "R. Fletcher and A. P. McCann",
  title =        "Acceleration techniques for nonlinear programming",
  crossref =     "Fletcher:1969:OSI",
  pages =        "203--215",
  year =         "1969",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "6",
}

@InProceedings{Fletcher:1969:RMU,
  author =       "R. Fletcher",
  title =        "A review of methods for unconstrained optimization",
  crossref =     "Fletcher:1969:OSI",
  pages =        "1--12",
  year =         "1969",
  MRclass =      "65.30 (90.00)",
  MRnumber =     "267739",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "5",
}

@Article{Fletcher:1969:TO,
  author =       "R. Fletcher",
  title =        "A technique for orthogonalization",
  journal =      j-J-INST-MATH-APPL,
  volume =       "5",
  number =       "2",
  pages =        "162--166",
  month =        jun,
  year =         "1969",
  CODEN =        "JMTAA8",
  DOI =          "https://doi.org/10.1093/imamat/5.2.162",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "65.35",
  MRnumber =     "39 #7801 (246497)",
  MRreviewer =   "J. E. Whitesitt",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://portal.acm.org;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
  ZMnumber =     "0185.07703",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@InProceedings{Fletcher:1970:CMNa,
  author =       "R. Fletcher and Shirley A. Lill",
  title =        "A class of methods for nonlinear programming. {II}.
                 {Computational} experience",
  crossref =     "Rosen:1970:NPP",
  pages =        "67--92",
  year =         "1970",
  MRclass =      "90C30",
  MRnumber =     "429124",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "9",
}

@InCollection{Fletcher:1970:CMNb,
  author =       "R. Fletcher and Shirley A. Lill",
  title =        "A class of methods for nonlinear programming {II}.
                 {Computational} experience",
  crossref =     "Rosen:1970:NPP",
  pages =        "??--??",
  year =         "1970",
  bibdate =      "Mon Aug 11 09:20:10 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "9",
}

@InCollection{Fletcher:1970:CMNc,
  author =       "R. Fletcher",
  editor =       "J. Abadie and Philip Wolfe and others",
  booktitle =    "Integer and Nonlinear Programming",
  title =        "A class of methods for nonlinear programming with
                 termination and convergence properties",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  bookpages =    "x + 544",
  pages =        "157--175",
  year =         "1970",
  ISBN =         "0-444-10000-8, 0-7204-2036-9",
  ISBN-13 =      "978-0-444-10000-9, 978-0-7204-2036-4",
  LCCN =         "T57.7I5 1970",
  MRclass =      "90C30",
  MRnumber =     "429123",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "8",
  remark-1 =     "NATO Summer School held in Bandol, France, sponsored
                 by the Scientific Affairs Division of NATO.",
  remark-2 =     "ISBN erroneously reused for another proceedings: Marc
                 Bonis (ed.), International progress in precision
                 engineering: proceedings of the 8th International
                 Precision Engineering Seminar, Compi{\`e}gne, France,
                 May 1995, Elsevier",
  xxeditor =     "Philip Wolfe and J. Abadie",
}

@TechReport{Fletcher:1970:FSG,
  author =       "R. Fletcher",
  title =        "A {Fortran} subroutine for general quadratic
                 programming",
  type =         "AERE-R",
  number =       "6370",
  institution =  "United Kingdom Atomic Energy Authority",
  address =      "Harwell, Berkshire, UK",
  pages =        "14",
  year =         "1970",
  bibdate =      "Sat Jan 27 13:40:57 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran1.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Fletcher:1970:GIN,
  author =       "R. Fletcher",
  editor =       "Philip Rabinowitz",
  booktitle =    "Numerical Methods for Nonlinear Algebraic Equations
                 (Proceedings of the Conference, {University of Essex,
                 Colchester}, 1969)",
  title =        "Generalized inverses for nonlinear equations and
                 optimization",
  publisher =    pub-GORDON-BREACH,
  address =      pub-GORDON-BREACH:adr,
  bookpages =    "xi + 199",
  pages =        "75--85",
  year =         "1970",
  ISBN =         "0-677-14235-8 (paperback), 0-677-14230-7 (hardcover)",
  ISBN-13 =      "978-0-677-14235-7 (paperback), 978-0-677-14230-2
                 (hardcover)",
  LCCN =         "QA218 .N85",
  MRclass =      "65H10",
  MRnumber =     "343587",
  MRreviewer =   "S. F. McCormick",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  remark =       "Papers given at a conference held on January 6--7,
                 1969 at the University of Essex, organized by the
                 Numerical Analysis Specialist Group of the British
                 Computer Society",
}

@Article{Fletcher:1970:NAV,
  author =       "R. Fletcher",
  title =        "A new approach to variable metric algorithms",
  journal =      j-COMP-J,
  volume =       "13",
  number =       "3",
  pages =        "317--322",
  month =        aug,
  year =         "1970",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/13.3.317",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Dec 4 14:47:45 MST 2012",
  bibsource =    "http://comjnl.oxfordjournals.org/content/13/3.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_03/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1970.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/13/3/317.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_03/130317.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_03/tiff/317.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_03/tiff/318.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_03/tiff/319.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_03/tiff/320.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_03/tiff/321.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_13/Issue_03/tiff/322.tif",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "A.E.R.E., Harwell, Didcot, UK",
  fjournal =     "The Computer Journal",
  GH-number =    "7",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  keywords =     "convergence of numerical methods; eigenfunctions;
                 eigenvalues and; matrix algebra; optimisation",
  remark =       "This paper is the F in the BFGS
                 (Broyden--Fletcher--Goldfarb--Shanno) method.",
}

@Article{Norgett:1970:FMM,
  author =       "M. J. Norgett and R. Fletcher",
  title =        "Fast Matrix Methods for Calculating Relaxation About
                 Defects in Crystals",
  journal =      j-J-PHYS-C,
  volume =       "3",
  number =       "11",
  pages =        "L190--L192",
  month =        nov,
  year =         "1970",
  CODEN =        "JPSOAW",
  DOI =          "https://doi.org/10.1088/0022-3719/3/11/003",
  ISSN =         "0022-3719 (print), 1747-3802 (electronic)",
  bibdate =      "Tue Aug 12 14:13:24 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://iopscience.iop.org/article/10.1088/0022-3719/3/11/003",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of Physics C: Solid State Physics",
  journal-URL =  "http://iopscience.iop.org/0022-3719",
}

@Article{Fletcher:1971:CLB,
  author =       "R. Fletcher and J. A. Grant and M. D. Hebden",
  title =        "The calculation of linear best {$ L_p $}
                 approximations",
  journal =      j-COMP-J,
  volume =       "14",
  number =       "3",
  pages =        "276--279",
  month =        aug,
  year =         "1971",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/14.3.276",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  MRclass =      "65D15",
  MRnumber =     "303948",
  MRreviewer =   "D. C. Handscomb",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://comjnl.oxfordjournals.org/content/14/3.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1970.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/14/3/276.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/140276.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/tiff/276.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/tiff/277.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/tiff/278.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_14/Issue_03/tiff/279.tif",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "AERE, Harwell, UK",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  keywords =     "approximation; approximations; continuum or a
                 discrete; convergence of numerical methods; errors;
                 errors propagation analysis; function; iterative
                 methods; iterative scheme; L/sub p/ norm; linear best
                 L/sub p/; point set; second order convergence",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Fletcher:1971:GQP,
  author =       "R. Fletcher",
  title =        "A general quadratic programming algorithm",
  journal =      j-J-INST-MATH-APPL,
  volume =       "7",
  number =       "1",
  pages =        "76--91",
  month =        feb,
  year =         "1971",
  CODEN =        "JMTAA8",
  DOI =          "https://doi.org/10.1093/imamat/7.1.76",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "90.59",
  MRnumber =     "42 #8908 (274032)",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
  ZMnumber =     "0226.90036",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  GH-number =    "10",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Fletcher:1972:ASL,
  author =       "R. Fletcher",
  title =        "An algorithm for solving linearly constrained
                 optimization problems",
  journal =      j-MATH-PROG,
  volume =       "2",
  pages =        "133--165",
  month =        feb,
  year =         "1972",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01584540",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C30",
  MRnumber =     "329644",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@TechReport{Fletcher:1972:FSM,
  author =       "R. Fletcher",
  title =        "{Fortran} subroutines for minimization by
                 quasi-{Newton} methods",
  institution =  "United Kingdom Atomic Energy Authority",
  address =      "Harwell, Berkshire, UK",
  pages =        "29",
  year =         "1972",
  ISSN =         "0025-5610",
  bibdate =      "Sat Jan 27 13:40:57 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran1.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  keywords =     "{Fortran} (Computer program language).",
}

@Article{Fletcher:1972:MSO,
  author =       "R. Fletcher",
  title =        "Methods for the solution of optimization problems",
  journal =      j-COMP-PHYS-COMM,
  volume =       "3",
  number =       "3",
  pages =        "159--172",
  month =        apr # "\slash " # may,
  year =         "1972",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(72)90065-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sun Feb 12 14:24:25 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465572900653",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Fletcher:1973:BRA,
  author =       "R. Fletcher",
  title =        "Book Review: {{\booktitle{Algorithms for Minimization
                 without Derivatives}}, Richard P. Brent, 1973; 195.
                 (Prentice Hall Inc., \pounds 6.00)}",
  journal =      j-COMP-J,
  volume =       "16",
  number =       "4",
  pages =        "314--314",
  month =        "????",
  year =         "1973",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/16.4.314-a",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Dec 4 14:47:52 MST 2012",
  bibsource =    "http://comjnl.oxfordjournals.org/content/16/4.toc;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1970.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/16/4/314.2.full.pdf+html",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Fletcher:1973:BRI,
  author =       "R. Fletcher",
  title =        "Book Review: {{\booktitle{Iterative Methods for
                 Nonlinear Optimisation Problems}}, S. L. S. Jacoby, J.
                 S. Kowalik, and J. T. Pizzo, 1972; 274. (Prentice-Hall
                 Inc., \pounds 7.00)}",
  journal =      j-COMP-J,
  volume =       "16",
  number =       "4",
  pages =        "314--314",
  month =        "????",
  year =         "1973",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/16.4.314",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Dec 4 14:47:52 MST 2012",
  bibsource =    "http://comjnl.oxfordjournals.org/content/16/4.toc;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1970.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/16/4/314.1.full.pdf+html",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Fletcher:1974:CDP,
  author =       "R. Fletcher and J. A. Grant and M. D. Hebden",
  title =        "The continuity and differentiability of the parameters
                 of best linear {$ L_p $} approximations",
  journal =      j-J-APPROX-THEORY,
  volume =       "10",
  pages =        "69--73",
  year =         "1974",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1016/0021-9045(74)90097-5",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "41A50",
  MRnumber =     "417645",
  MRreviewer =   "E. Price",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
}

@Article{Fletcher:1974:LMA,
  author =       "R. Fletcher and J. A. Grant and M. D. Hebden",
  title =        "Linear Minimax Approximation as the Limit of Best $
                 {L}_p$-Approximation",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "11",
  number =       "1",
  pages =        "123--136",
  month =        mar,
  year =         "1974",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0711013",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65D15 (41A45)",
  MRnumber =     "343535",
  MRreviewer =   "H. Werner",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Numer. Anal.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Fletcher:1974:MF,
  author =       "R. Fletcher and M. J. D. Powell",
  title =        "On the modification of {$ L D L^T $} factorizations",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "128",
  pages =        "1067--1087",
  month =        oct,
  year =         "1974",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2005366",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F30",
  MRnumber =     "359297",
  MRreviewer =   "D. B. Hunter",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Comput.",
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
  classcodes =   "B0290B (Error analysis in numerical methods); B0290H
                 (Linear algebra); C4110 (Error analysis in numerical
                 methods); C4140 (Linear algebra)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "efficiency; error analysis; error propagation; LDL/sup
                 T/ factorizations; matrices; matrix algebra; positive
                 definite matrix; positive semidefinite",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Fletcher:1974:MQF,
  author =       "R. Fletcher and M. P. Jackson",
  title =        "Minimization of a quadratic function of many variables
                 subject only to lower and upper bounds",
  journal =      j-J-INST-MATH-APPL,
  volume =       "14",
  number =       "??",
  pages =        "159--174",
  year =         "1974",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "90C30",
  MRnumber =     "52 #5033 (384156)",
  MRreviewer =   "Norihiko Adachi",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
  ZMnumber =     "0301.90032",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@InProceedings{Fletcher:1974:MRL,
  author =       "R. Fletcher",
  editor =       "Philip E. Gill and Walter Murray",
  booktitle =    "Numerical Methods for Constrained Optimization
                 (Proceedings of the Symposium, {National Physical
                 Laboratory, Teddington, 10--11 January, 1974})",
  title =        "Methods related to {Lagrangian} functions",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  bookpages =    "xiv + 283",
  pages =        "219--239",
  year =         "1974",
  ISBN =         "0-12-283550-6",
  ISBN-13 =      "978-0-12-283550-6",
  LCCN =         "QA402.5 .N83",
  MRclass =      "90C30",
  MRnumber =     "441351",
  MRreviewer =   "O. V. Vasil\cprime ev",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Fletcher:1975:IPFa,
  author =       "R. Fletcher",
  editor =       "Olvi L. Mangasarian and Robert R. Meyer and Stephen M.
                 Robinson",
  booktitle =    "{Nonlinear programming, 2: proceedings of the Special
                 Interest Group on Mathematical Programming symposium,
                 conducted by the Computer Sciences Department at the
                 University of Wisconsin--Madison, April 15--17, 1974}",
  title =        "An ideal penalty function for constrained
                 optimization",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  bookpages =    "ix + 361",
  pages =        "121--163",
  year =         "1975",
  ISBN =         "0-12-468650-8, 1-4832-6041-0",
  ISBN-13 =      "978-0-12-468650-2, 978-1-4832-6041-9",
  LCCN =         "T57.8 .S9 1974",
  MRclass =      "90C30 (49D30)",
  MRnumber =     "389215",
  MRreviewer =   "Norihiko Adachi",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "11",
}

@Article{Fletcher:1975:IPFb,
  author =       "R. Fletcher",
  title =        "An ideal penalty function for constrained
                 optimization",
  journal =      j-J-INST-MATH-APPL,
  volume =       "15",
  number =       "??",
  pages =        "319--342",
  year =         "1975",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "65K05",
  MRnumber =     "52 #12324 (391503)",
  MRreviewer =   "Pierre Loridan",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Fletcher:1976:BRI,
  author =       "R. Fletcher",
  title =        "Book Reviews: {{\em Introduction to Optimization
                 Methods}}, by {P. R. Adby} and {M. A. H. Dempster}",
  journal =      j-APPL-STAT,
  volume =       "25",
  number =       "1",
  pages =        "69--69",
  year =         "1976",
  CODEN =        "APSTAG",
  ISSN =         "0035-9254 (print), 1467-9876 (electronic)",
  ISSN-L =       "0035-9254",
  bibdate =      "Sat Apr 21 10:21:37 MDT 2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/as1970.bib; JSTOR
                 database",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Applied Statistics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
}

@InProceedings{Fletcher:1976:CGM,
  author =       "R. Fletcher",
  title =        "Conjugate gradient methods for indefinite systems",
  crossref =     "Watson:1975:NAD",
  pages =        "73--89",
  year =         "1976",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0080116",
  MRclass =      "65F05",
  MRnumber =     "0461857 (57 \#1841)",
  MRreviewer =   "W. B{\"o}rsch-Supan",
  bibdate =      "Fri May 9 19:07:56 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1975.bib",
  series =       "Lecture Notes in Math.",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0080116/",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  book-DOI =     "https://doi.org/10.1007/BFb0080109",
  book-URL =     "http://www.springerlink.com/content/978-3-540-38129-7",
  fjournal =     "Lecture Notes in Mathematics",
  GH-number =    "12",
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Article{Fletcher:1976:FSI,
  author =       "R. Fletcher",
  title =        "Factorizing Symmetric Indefinite Matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "14",
  number =       "3",
  pages =        "257--272",
  month =        "????",
  year =         "1976",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(76)90071-9",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F05",
  MRnumber =     "448828",
  MRreviewer =   "H. R. Schwarz",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379576900719",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Linear Algebra and its Applications",
  GH-number =    "13",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Fletcher:1977:MNM,
  author =       "R. Fletcher and T. L. Freeman",
  title =        "A modified {Newton} method for minimization",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "23",
  number =       "3",
  pages =        "357--372",
  year =         "1977",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00933446",
  ISSN =         "0022-3239,1573-2878",
  ISSN-L =       "0022-3239",
  MRclass =      "90C30",
  MRnumber =     "525733",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  GH-number =    "14",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@InProceedings{Fletcher:1979:NMM,
  author =       "R. Fletcher",
  editor =       "Andr{\'a}s Pr{\'e}kopa",
  booktitle =    "Survey of Mathematical Programming: Proceedings of the
                 {9th International Mathematical Programming Symposium,
                 Budapest, August 23--27, 1976}",
  title =        "On {Newton}'s method for minimization",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  bookpages =    "550 (vol. 1); 589 (vol. 2); 413 (vol. 3)",
  pages =        "447--463",
  year =         "1979",
  ISBN =         "0-444-85033-3",
  ISBN-13 =      "978-0-444-85033-1",
  LCCN =         "QA402.5 .I52 1976",
  MRclass =      "65K10 (90C30)",
  MRnumber =     "580478",
  MRreviewer =   "W. C. Rheinboldt",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InCollection{Fletcher:1979:OM,
  author =       "R. Fletcher",
  booktitle =    "25 years of Theoretical Physics 1954--1979: A special
                 progress report from {Theoretical Physics Division,
                 Harwell} in recognition of the 25th anniversary of the
                 {U.K. Atomic Energy Authority}",
  title =        "Optimization Methods",
  chapter =      "XIX",
  publisher =    "Harwell Research Laboratory",
  address =      "Harwell, UK",
  bookpages =    "215--222",
  pages =        "iv + iv + 273",
  year =         "1979",
  bibdate =      "Tue Aug 12 13:53:35 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  note =         "Report TP.843.",
  URL =          "https://www.chilton-computing.org.uk/ChiltonCatalog/1980.25.years.of.theoretical.physics/1980.25.years.of.theoretical.physics.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  remark =       "25 authors contributed to the report, and no editor is
                 credited.",
}

@Article{Holt:1979:ACN,
  author =       "J. N. Holt and R. Fletcher",
  title =        "An algorithm for constrained non-linear
                 least-squares",
  journal =      j-J-INST-MATH-APPL,
  volume =       "23",
  number =       "4",
  pages =        "449--463",
  year =         "1979",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "65D10",
  MRnumber =     "80d:65026 (537489)",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  GH-number =    "15",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Coope:1980:SNE,
  author =       "I. D. Coope and R. Fletcher",
  title =        "Some numerical experience with a globally convergent
                 algorithm for nonlinearly constrained optimization",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "32",
  number =       "1",
  pages =        "1--16",
  year =         "1980",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00934840",
  ISSN =         "0022-3239,1573-2878",
  ISSN-L =       "0022-3239",
  MRclass =      "90C30 (65K10)",
  MRnumber =     "599825",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@Article{Fletcher:1980:FSO,
  author =       "R. Fletcher and G. A. Watson",
  title =        "First- and second-order conditions for a class of
                 nondifferentiable optimization problems",
  journal =      j-MATH-PROG,
  volume =       "18",
  number =       "1",
  pages =        "291--307",
  month =        dec,
  year =         "1980",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01588325",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C30",
  MRnumber =     "571992",
  MRreviewer =   "Jean-Baptiste Hiriart-Urruty",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming",
  GH-number =    "18",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Fletcher:1980:GEP,
  author =       "R. Fletcher and D. F. Griffiths",
  title =        "The generalized eigenvalue problem for certain
                 unsymmetric band matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "29",
  number =       "??",
  pages =        "139--149",
  month =        feb,
  year =         "1980",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(80)90235-9",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A18",
  MRnumber =     "81b:15007 (562754)",
  MRreviewer =   "A. R. Amir-Mo{\'e}z",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379580902359",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Linear Algebra and its Applications",
  GH-number =    "17",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Book{Fletcher:1980:PMO,
  author =       "R. Fletcher",
  title =        "Practical Methods of Optimization. Volume 1:
                 Unconstrained Optimization",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "viii + 120",
  year =         "1980",
  ISBN =         "0-471-27711-8",
  ISBN-13 =      "978-0-471-27711-8",
  LCCN =         "QA402.5 .F43",
  MRclass =      "65K10 (49-01 90Cxx)",
  MRnumber =     "585160",
  MRreviewer =   "Jon W. Tolle",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  note =         "Unconstrained optimization",
  series =       "A Wiley-Interscience Publication",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "16",
  shorttableofcontents = "Preface / vii \\
                 1: Introduction / 1 \\
                 2: Structure of Methods / 10 \\
                 3: Newton-like Methods / 33 \\
                 4: Conjugate Direction Methods / 63 \\
                 5: Restricted Step Methods / 77 \\
                 6: Sums of Squares and Non-linear Equations / 91 \\
                 References / 113 \\
                 Subject Index / 118",
  tableofcontents = "Preface / vii \\
                 1: Introduction / 1 \\
                 1.1 History and Applications / 1 \\
                 1.2 Mathematical Background / 4 \\
                 Questions for Chapter 1 / 9 \\
                 2: Structure of Methods / 10 \\
                 2.1 Conditions for Local Minima / 10 \\
                 2.2 Ad hoc Methods / 13 \\
                 2.3 Useful Algorithmic Properties / 16 \\
                 2.4 Descent Methods and Stability / 20 \\
                 2.5 Quadratic Models / 23 \\
                 2.6 Algorithms for the Line Search / 25 \\
                 Questions for Chapter 2 / 29 \\
                 3: Newton-like Methods / 33 \\
                 3.1 Newton's Method / 33 \\
                 3.2 Quasi-Newton Methods / 38 \\
                 3.3 Invariance and Metrics / 45 \\
                 3.4 The Broyden Family / 48 \\
                 3.5 Numerical Experiments / 54 \\
                 3.6 Other Formulae / 58 \\
                 Questions for Chapter 3 / 60 \\
                 4: Conjugate Direction Methods / 63 \\
                 4.1 Conjugate Gradient Methods / 63 \\
                 4.2 Direction Set Methods / 70 \\
                 Questions for Chapter 4 / 75 \\
                 5: Restricted Step Methods / 77 \\
                 5.1 A Model Algorithm / 77 \\
                 5.2 Levenberg--Marquardt Methods / 82 \\
                 Questions for Chapter 5 / 88 \\
                 6: Sums of Squares and Non-linear Equations / 91 \\
                 6.1 Over-determined Systems / 91 \\
                 6.2 Well-determined Systems of Equations / 98 \\
                 6.3 No-derivative Methods / 106 \\
                 Questions for Chapter 6 / 110 \\
                 References / 113 \\
                 Subject Index / 118",
}

@Article{Bell:1981:NEM,
  author =       "Stephen Bell and James S. Crighton and Roger
                 Fletcher",
  title =        "A new efficient method for locating saddle points",
  journal =      j-CHEM-PHYS-LETT,
  volume =       "82",
  number =       "1",
  pages =        "122--126",
  year =         "1981",
  CODEN =        "CHPLBC",
  DOI =          "https://doi.org/10.1016/0009-2614(81)85120-2",
  ISSN =         "0009-2614 (print), 1873-4448 (electronic)",
  ISSN-L =       "0009-2614",
  MRclass =      "90C30",
  MRnumber =     "632753",
  MRreviewer =   "W. A. Gruver",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Chemical Physics Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00092614",
}

@Article{Fletcher:1981:DVB,
  author =       "R. Fletcher and J. W. Sinclair",
  title =        "Degenerate values for {Broyden} methods",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "33",
  number =       "3",
  pages =        "311--324",
  year =         "1981",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00935247",
  ISSN =         "0022-3239,1573-2878",
  ISSN-L =       "0022-3239",
  MRclass =      "49D15 (65K05)",
  MRnumber =     "619628",
  MRreviewer =   "C. Ilioi",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  GH-number =    "21",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@InProceedings{Fletcher:1981:NEE,
  author =       "R. Fletcher",
  editor =       "Olvi L. (Olvi Leon) Mangasarian and Robert R. (Robert
                 Ricardo) Meyer and Stephen M. (Stephen Michael)
                 Robinson",
  booktitle =    "Nonlinear programming 4: Proceedings of the {Nonlinear
                 Programming Symposium 4 held at the University of
                 Wisconsin, Madison, July 14--16, 1980}",
  title =        "Numerical experiments with an exact {$ L_1 $} penalty
                 function method",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  bookpages =    "viii + 549",
  pages =        "99--129",
  year =         "1981",
  ISBN =         "0-12-468662-1",
  ISBN-13 =      "978-0-12-468662-5",
  LCCN =         "T57.8 .N67 1980",
  MRclass =      "90C30",
  MRnumber =     "663377",
  MRreviewer =   "Andrew R. Conn",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:1981:NPP,
  author =       "Roger Fletcher",
  title =        "A nonlinear programming problem in statistics
                 (educational testing)",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "2",
  number =       "3",
  pages =        "257--267",
  month =        sep,
  year =         "1981",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0902021",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "90C30 (90C50)",
  MRnumber =     "82k:90098 (632898)",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Sci. Statist. Comput.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  classification = "B0240Z (Other topics in statistics); B0260
                 (Optimisation techniques); C1140Z (Other topics in
                 statistics); C1180 (Optimisation techniques); C1290J
                 (Systems theory applications in education)",
  corpsource =   "Dept. of Math., Univ. of Dundee, Dundee, UK",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  GH-number =    "20",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "convergence; education; educational testing;
                 examination; nonlinear programming; reliability
                 coefficient; scores; SOLVER method; statistics",
  onlinedate =   "September 1981",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Book{Fletcher:1981:PMO,
  author =       "R. Fletcher",
  title =        "Practical Methods of Optimization. Volume 2:
                 Constrained Optimization",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "ix + 224",
  year =         "1981",
  ISBN =         "0-471-27828-9",
  ISBN-13 =      "978-0-471-27828-3",
  LCCN =         "QA402.5 .F43",
  MRclass =      "65K10 (49-01 90Cxx)",
  MRnumber =     "633058",
  MRreviewer =   "Jon W. Tolle",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  note =         "Constrained optimization",
  series =       "A Wiley-Interscience Publication",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "19",
  shorttableofcontents = "Preface / vii \\
                 Errata to Volume 1 / ix \\
                 7: Introduction / 1 \\
                 8: Linear Programming / 11 \\
                 9: The Theory of Constrained Optimization / 46 \\
                 10: Quadratic Programming / 79 \\
                 11: General Linearly Constrained Optimization / 105 \\
                 12: Nonlinear Programming / 120 \\
                 13: Other Optimization Problems / 157 \\
                 14: Non-differentiable Optimization / 172 \\
                 References / 215 \\
                 Subject Index / 221",
  tableofcontents = "Preface / vii \\
                 Errata to Volume 1 / ix \\
                 7: Introduction / 1 \\
                 7.1 Preview / 1 \\
                 7.2 Elimination and Other Transformations / 6 \\
                 Questions for Chapter 7 / 10 \\
                 8: Linear Programming / 11 \\
                 8.1 Structure / 11 \\
                 8.2 The Simplex Method / 13 \\
                 8.3 Other LP Techniques / 19 \\
                 8.4 Feasible Points for Linear Constraints / 22 \\
                 8.5 Stahle and Large-scale Linear Programming / 27 \\
                 8.6 Degeneracy / 34 \\
                 Questions for Chapter 8 / 39 \\
                 9: The Theory of Constrained Optimization / 46 \\
                 9.1 Lagrange Multipliers / 46 \\
                 9.2 First Order Conditions / 52 \\
                 9.3 Second Order Conditions / 58 \\
                 9.4 Convexity / 63 \\
                 9.5 Duality / 69 \\
                 Questions for Chapter 9 / 74 \\
                 10: Quadratic Programming / 79 \\
                 10.1 Equality Constraints / 79 \\
                 10.2 Lagrangian Methods / 86 \\
                 10.3 The Active Set Method / 88 \\
                 10.4 Advanced Features / 92 \\
                 10.5 Special QP Problems / 95 \\
                 10.6 Complementary Pivoting and Other Methods / 97 \\
                 Questions for Chapter 10 / 101 \\
                 11: General Linearly Constrained Optimization / 105 \\
                 11.1 Equality Constraints / 105 \\
                 11.2 Inequality Constraints / 110 \\
                 11.3 Zigzagging / 113 \\
                 Questions for Chapter 11 / 117 \\
                 12: Nonlinear Programming / 120 \\
                 12.1 Penalty and Barrier Functions / 120 \\
                 12.2 Multiplier Penalty Functions / 130 \\
                 12.3 The Lagrange-Newton (SOLVER) Method / 138 \\
                 12.4 Nonlinear Elimination and Feasible Direction
                 Methods / 145 \\
                 12.5 Other Methods / 150 \\
                 Questions for Chapter 12 / 153 \\
                 13: Other Optimization Problems / 157 \\
                 13.1 Integer Programming / 157 \\
                 13.2 Geometric Programming / 164 \\
                 Questions for Chapter 13 / 170 \\
                 14: Non-differentiable Optimization / 172 \\
                 14.1 Introduction / 172 \\
                 14.2 Optimality Conditions / 178 \\
                 14.3 Exact Penalty Functions / 190 \\
                 14.4 Algorithms / 196 \\
                 14.5 A Globally Convergent Model Algorithm / 207 \\
                 Questions for Chapter 14 / 211 \\
                 References / 215 \\
                 Subject Index / 221",
}

@Article{Fletcher:1982:BFE,
  author =       "R. Fletcher and P. J. Harley",
  title =        "Basis functions for the exact control of the heat
                 equation",
  journal =      j-IMA-J-APPL-MATH,
  volume =       "28",
  number =       "1",
  pages =        "93--105",
  month =        "????",
  year =         "1982",
  CODEN =        "IJAMDM",
  DOI =          "https://doi.org/10.1093/imamat/28.1.93",
  ISSN =         "0272-4960 (print), 1464-3634 (electronic)",
  ISSN-L =       "0272-4960",
  MRclass =      "65M99 (93C20)",
  MRnumber =     "83d:65264 (648704)",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajapplmath.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "IMA Journal of Applied Mathematics",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Fletcher:1982:CMD,
  author =       "R. Fletcher",
  title =        "Combinatorial Methods of Discrete Programming",
  journal =      j-COMP-J,
  volume =       "25",
  number =       "1",
  pages =        "160b-160",
  month =        feb,
  year =         "1982",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/25.1.160-b",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Dec 4 14:48:12 MST 2012",
  bibsource =    "http://comjnl.oxfordjournals.org/content/25/1.toc;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1980.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/25/1/160-b.full.pdf+html",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Fletcher:1982:MAC,
  author =       "R. Fletcher",
  title =        "A model algorithm for composite nondifferentiable
                 optimization problems",
  journal =      j-MATH-PROG-STUDY,
  number =       "17",
  pages =        "67--76",
  year =         "1982",
  CODEN =        "MPSTDF",
  DOI =          "https://doi.org/10.1007/bfb0120959",
  ISSN =         "0303-3929",
  MRclass =      "90C30 (58C15 65K10)",
  MRnumber =     "654691",
  MRreviewer =   "Alexander D. Ioffe",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://link.springer.com/chapter/10.1007/BFb0120959",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming Study",
  GH-number =    "23",
}

@InProceedings{Fletcher:1982:MNC,
  author =       "R. Fletcher",
  title =        "Methods for nonlinear constraints",
  crossref =     "Powell:1982:NOP",
  pages =        "185--211",
  year =         "1982",
  MRclass =      "90C30",
  MRnumber =     "775347",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Fletcher:1982:SOC,
  author =       "R. Fletcher",
  title =        "Second order corrections for non-differentiable
                 optimization",
  crossref =     "Watson:1982:NAP",
  pages =        "85--114",
  year =         "1982",
  DOI =          "https://doi.org/10.1007/BFb0093151",
  MRclass =      "90C30 (65K10)",
  MRnumber =     "654345 (83g:90123)",
  MRreviewer =   "J. E. Spingarn",
  bibdate =      "Fri May 9 19:07:38 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  series =       ser-LNM,
  URL =          "http://link.springer.com/chapter/10.1007/BFb0093151/",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "22",
}

@Article{Fletcher:1983:ADJ,
  author =       "R. Fletcher and D. C. Sorensen",
  title =        "An Algorithmic Derivation of the {Jordan} Canonical
                 Form",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "90",
  number =       "1",
  pages =        "12--16",
  month =        jan,
  year =         "1983",
  CODEN =        "AMMYAE",
  DOI =          "https://doi.org/10.2307/2975686",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "15A21",
  MRnumber =     "84d:15011 (691009)",
  MRreviewer =   "Thomas H. Foregger",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.html",
}

@InProceedings{Fletcher:1983:PF,
  author =       "R. Fletcher",
  editor =       "Achim Bachem and Martin Gr{\"o}tschel and Bernhard H.
                 Korte",
  booktitle =    "Mathematical Programming --- the State of the Art:
                 {11th international symposium on mathematical
                 programming, Bonn, August 23--27, 1982, proceedings}",
  title =        "Penalty functions",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "viii + 655",
  pages =        "87--114",
  year =         "1983",
  ISBN =         "3-540-12082-3",
  ISBN-13 =      "978-3-540-12082-7",
  LCCN =         "QA402.5 .M3529 1983",
  MRclass =      "49-02 (49D30)",
  MRnumber =     "717398",
  MRreviewer =   "Jon W. Tolle",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:1984:SCF,
  author =       "R. Fletcher",
  title =        "The self-consistent field problem",
  journal =      j-BULL-INST-MATH-APPL,
  volume =       "20",
  number =       "5-6",
  pages =        "72--76",
  year =         "1984",
  CODEN =        "IMTABW",
  ISSN =         "0905-5628",
  MRclass =      "81G55 (65K10)",
  MRnumber =     "764964",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Bulletin of the Institute of Mathematics and its
                 Applications",
}

@Article{Fletcher:1984:SME,
  author =       "R. Fletcher and S. P. J. Matthews",
  title =        "Stable modification of explicit {$ L U $} factors for
                 simplex updates",
  journal =      j-MATH-PROG,
  volume =       "30",
  number =       "3",
  pages =        "267--284",
  month =        oct,
  year =         "1984",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF02591933",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C05 (65F05)",
  MRnumber =     "769232",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming",
  GH-number =    "24",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Fletcher:1985:EC,
  author =       "R. Fletcher",
  title =        "Expected Conditioning",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "5",
  number =       "3",
  pages =        "247--273",
  year =         "1985",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/5.3.247",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F35",
  MRnumber =     "86j:65049 (800013)",
  MRreviewer =   "Alan L. Andrew",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "IMA Journal of Numerical Analysis",
  GH-number =    "26",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  mynote =       "Also Dundee Report NA/63.",
}

@InProceedings{Fletcher:1985:PMN,
  author =       "R. Fletcher",
  editor =       "Paul T. Boggs and Richard H. Byrd and Robert B.
                 Schnabel",
  booktitle =    "Numerical Optimization 1984: proceedings of the {SIAM
                 Conference on Numerical Optimization, Boulder,
                 Colorado, June 12--14, 1984}",
  title =        "An {$ l_1 $} penalty method for nonlinear
                 constraints",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  bookpages =    "xi + 287",
  pages =        "26--40",
  year =         "1985",
  ISBN =         "0-89871-054-5",
  ISBN-13 =      "978-0-89871-054-0",
  LCCN =         "QA402.5 .S544 1984",
  MRclass =      "65K10 (90C20 90C30)",
  MRnumber =     "802082",
  MRreviewer =   "Victor Ivanov",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "27",
}

@Article{Fletcher:1985:SAU,
  author =       "R. Fletcher and S. P. J. Matthews",
  title =        "A Stable Algorithm for Updating Triangular Factors
                 Under a Rank One Change",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "471--485",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2008137",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F05",
  MRnumber =     "87a:65057 (804936)",
  MRreviewer =   "Lars Eld{\'e}n",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Comput.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  classcodes =   "B0290H (Linear algebra); B0290K (Nonlinear and
                 functional equations); C4140 (Linear algebra); C4150
                 (Nonlinear and functional equations)",
  corpsource =   "Dept. of Math. Sci., Dundee Univ., UK",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "convergence of numerical methods; equations; growth
                 bound; L U factors; matrices; matrix algebra;
                 nonlinear; pivot search; pivot strategy; rank
                 deficient; rank one change; stability; triangular
                 factors; well-conditioned matrices",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Fletcher:1985:SDM,
  author =       "R. Fletcher",
  title =        "Semi-Definite Matrix Constraints in Optimization",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "23",
  number =       "4",
  pages =        "493--513",
  month =        jul,
  year =         "1985",
  CODEN =        "SJCODC",
  DOI =          "https://doi.org/10.1137/0323032",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  MRclass =      "90C30 (49A52)",
  MRnumber =     "MR791884 (86m:90135)",
  MRreviewer =   "Marco Gaviano",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/23/4;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Control Optim.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Control and Optimization",
  GH-number =    "25",
  journal-URL =  "http://epubs.siam.org/sicon",
  journalabr =   "SIAM J Control Optim",
  onlinedate =   "July 1985",
}

@Article{Al-Baali:1986:ELS,
  author =       "M. Al-Baali and R. Fletcher",
  title =        "An efficient line search for nonlinear least squares",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "48",
  number =       "3",
  pages =        "359--377",
  year =         "1986",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00940566",
  ISSN =         "0022-3239,1573-2878",
  ISSN-L =       "0022-3239",
  MRclass =      "90C30",
  MRnumber =     "833001",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  GH-number =    "29",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@Article{Fletcher:1986:CEQ,
  author =       "R. Fletcher",
  title =        "Cancellation Errors in Quasi-{Newton} Methods",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  number =       "4",
  pages =        "1387--1399",
  month =        oct,
  year =         "1986",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0907092",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65G05",
  MRnumber =     "87j:65048 (857801)",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Sci. Statist. Comput.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  classification = "B0240Z (Other and miscellaneous); B0260
                 (Optimisation techniques); B0290B (Error analysis in
                 numerical methods); B0290F (Interpolation and function
                 approximation); C1140Z (Other and miscellaneous); C1180
                 (Optimisation techniques); C4110 (Error analysis in
                 numerical methods); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "Dept. of Math. Sci., Dundee Univ., UK",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  GH-number =    "28",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "cancellation errors; convergence; convergence of
                 numerical methods; error analysis; function
                 approximation; minimisation; probabilistic arguments;
                 probability; quasi-Newton method",
  onlinedate =   "October 1986",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Womersley:1986:ACN,
  author =       "R. S. Womersley and R. Fletcher",
  title =        "An algorithm for composite nonsmooth optimization
                 problems",
  journal =      j-J-OPT-THEORY-APPL,
  volume =       "48",
  number =       "3",
  pages =        "493--523",
  year =         "1986",
  CODEN =        "JOTABN",
  DOI =          "https://doi.org/10.1007/BF00940574",
  ISSN =         "0022-3239,1573-2878",
  ISSN-L =       "0022-3239",
  MRclass =      "90C30",
  MRnumber =     "833008",
  MRreviewer =   "Gerard G. L. Meyer",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Journal of Optimization Theory and Applications",
  GH-number =    "30",
  journal-URL =  "http://link.springer.com/journal/volumesAndIssues/10957",
}

@Article{Fletcher:1987:HMN,
  author =       "R. Fletcher and C. Xu",
  title =        "Hybrid methods for nonlinear least squares",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "7",
  number =       "3",
  pages =        "371--389",
  year =         "1987",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/7.3.371",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65K05",
  MRnumber =     "90e:65089 (968531)",
  MRreviewer =   "Istv{\'a}n D{\'e}ak",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "IMA Journal of Numerical Analysis",
  GH-number =    "31",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Book{Fletcher:1987:PMO,
  author =       "R. Fletcher",
  title =        "Practical Methods of Optimization",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  edition =      "Second",
  pages =        "xiv + 436",
  year =         "1987",
  ISBN =         "0-471-49463-1 (paperback), 0-471-91547-5 (hardcover)",
  ISBN-13 =      "978-0-471-49463-8 (paperback), 978-0-471-91547-8
                 (hardcover)",
  LCCN =         "QA402.5 F57 1987; QE262 .W2S42 1987",
  MRclass =      "65K05 (49A52 49D15 90C30)",
  MRnumber =     "955799",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  series =       "A Wiley-Interscience Publication",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Fletcher:1987:RDL,
  author =       "R. Fletcher",
  title =        "Recent developments in linear and quadratic
                 programming",
  crossref =     "Iserles:1987:SAN",
  pages =        "213--243",
  year =         "1987",
  MRclass =      "90C05 (90C20)",
  MRnumber =     "921667",
  MRreviewer =   "K. Schittkowski",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Inst. Math. Appl. Conf. Ser. New Ser.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:1988:DPR,
  author =       "R. Fletcher",
  title =        "Degeneracy in the Presence of Roundoff Errors",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "106",
  number =       "??",
  pages =        "149--183",
  month =        aug,
  year =         "1988",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(88)90026-2",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "90C05 (65G05 90C31)",
  MRnumber =     "90f:90077 (951830)",
  MRreviewer =   "Sven-{\AA}ke Gustafson",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379588900262",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Linear Algebra and its Applications",
  GH-number =    "32",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@InProceedings{Fletcher:1989:FDM,
  author =       "Roger Fletcher",
  editor =       "Jean-Paul Penot",
  booktitle =    "New methods in optimization and their industrial uses:
                 State of the art, recent advances, perspectives:
                 Proceedings of the symposia held in {Pau, October
                 19--29, 1987 and Paris, November 19, 1987}",
  title =        "A first derivative method for nonlinear programming
                 based on successive {$ l_1 $} {LP}",
  volume =       "87",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "43--56",
  year =         "1989",
  ISBN =         "0-8176-2286-1 (Boston), 3-7643-2286-1 (Basel)",
  ISBN-13 =      "978-0-8176-2286-2 (Boston), 978-3-7643-2286-1
                 (Basel)",
  LCCN =         "QA402.5 .N466 1989",
  MRclass =      "90C30 (65K05)",
  MRnumber =     "1001166",
  MRreviewer =   "Emil Kelevedzhiev",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Internat. Schriftenreihe Numer. Math.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:1989:NPN,
  author =       "R. Fletcher and E. {S{\'a}inz de la Maza}",
  title =        "Nonlinear programming and nonsmooth optimization by
                 successive linear programming",
  journal =      j-MATH-PROG,
  volume =       "43",
  number =       "1--3",
  pages =        "235--256",
  month =        jan,
  year =         "1989",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01582292",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C30",
  MRnumber =     "993464",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming",
  GH-number =    "33",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@TechReport{Fletcher:1989:NVR,
  author =       "R. Fletcher",
  title =        "A new variational result for quasi-{Newton} formulae",
  institution =  "Report NA/119, Department of Mathematics and Computer
                 Science, University of Dundee",
  address =      "????",
  pages =        "????",
  year =         "1989",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  mynote =       "July",
}

@InProceedings{Fletcher:1990:LSM,
  author =       "R. Fletcher",
  editor =       "Eugene L. Allgower and Kurt Georg",
  booktitle =    "Computational Solution of Nonlinear Systems of
                 Equations: [proceedings of the {1988 SIAM-AMS Summer
                 Seminar on Computational Solution of Nonlinear Systems
                 of Equations \ldots held July 18--29, at Colorado State
                 University, Ft. Collins, Colorado with the support of
                 the Air Force Office Office of Research and the
                 National Science Foundation}]",
  title =        "Low storage methods for unconstrained optimization",
  crossref =     "Allgower:1990:CSN",
  volume =       "26",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  bookpages =    "xix + 762",
  pages =        "165--179",
  year =         "1990",
  ISBN =         "0-8218-1131-2",
  ISBN-13 =      "978-0-8218-1131-3",
  LCCN =         "QA372 .C6374 1990",
  MRclass =      "65-04 (65K05)",
  MRnumber =     "1066281",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  series =       "Lectures in Appl. Math.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Fletcher:1990:RDM,
  author =       "R. Fletcher",
  editor =       "Ferran {Valls i Taberner} and Manuel J. Pel{\'a}ez and
                 Jordi {Guillamet i Anton}",
  booktitle =    "Proceedings of the {XIth Congress on Differential
                 Equations and Applications\slash First Congress on
                 Applied Mathematics (Spanish) (M{\'a}laga, 1989)}",
  title =        "Recent developments in methods for nonlinear
                 programming",
  publisher =    "Universidad M{\'a}laga",
  address =      "M{\'a}laga, Spain",
  pages =        "23--37",
  year =         "1990",
  ISBN =         "84-600-7547-8",
  ISBN-13 =      "978-84-600-7547-9",
  LCCN =         "QA371 .C6612 1989",
  MRclass =      "90-02 (90C30)",
  MRnumber =     "1096012",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Fletcher:1990:TRL,
  author =       "R. Fletcher and J. A. J. Hall",
  title =        "Towards reliable linear programming",
  crossref =     "Griffiths:1990:NAP",
  pages =        "89--104",
  year =         "1990",
  DOI =          "https://doi.org/10.1007/BF00115867",
  MRclass =      "90C05 (65K05)",
  MRnumber =     "1124456",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  series =       "Pitman Research Notes in Mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "34",
  mynote =       "[NH]: Also Dundee report NA/120, October 1989.",
}

@TechReport{Flet91a,
  author =       "R. Fletcher and J. A. J. Hall",
  title =        "Ordering Algorithms for Irreducible Sparse Linear
                 Systems",
  type =         "Report",
  number =       "NA/131",
  institution =  "Dundee University",
  address =      "Dundee, Scotland",
  month =        "",
  year =         "1991",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  abstract =     "",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  comment =      "",
  keywords =     "",
  referred =     "[Dixo91a].",
}

@Article{Fletcher:1991:FRD,
  author =       "Roger Fletcher and J. A. J. Hall and W. R. Johns",
  title =        "Flexible retrofit design of multiproduct batch
                 plants.",
  journal =      j-COMP-CHEM-ENG,
  volume =       "15",
  number =       "12",
  pages =        "843--852",
  month =        dec,
  year =         "1991",
  CODEN =        "CCENDW",
  DOI =          "https://doi.org/10.1016/0098-1354(91)80029-U",
  ISSN =         "0098-1354 (print), 1873-4375 (electronic)",
  ISSN-L =       "0098-1354",
  bibdate =      "Mon Aug 11 09:36:50 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Chem. Eng.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Computers \& Chemical Engineering",
  GH-number =    "36",
  journal-URL =  "https://www.sciencedirect.com/journal/computers-and-chemical-engineering",
}

@Article{Fletcher:1991:NVR,
  author =       "R. Fletcher",
  title =        "A new variational result for quasi-{Newton} formulae",
  journal =      j-SIAM-J-OPT,
  volume =       "1",
  number =       "1",
  pages =        "18--21",
  month =        feb,
  year =         "1991",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/0801002",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (65K05)",
  MRnumber =     "MR1094787 (91k:90163)",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "35",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Fletcher:1993:OAI,
  author =       "R. Fletcher and J. A. J. Hall",
  title =        "Ordering algorithms for irreducible sparse linear
                 systems",
  journal =      j-ANN-OPER-RESEARCH,
  volume =       "43",
  number =       "1--4",
  pages =        "15--32",
  year =         "1993",
  CODEN =        "AOREEV",
  DOI =          "https://doi.org/10.1007/BF02025533",
  ISSN =         "0254-5330,1572-9338",
  ISSN-L =       "0254-5330",
  MRclass =      "65F50",
  MRnumber =     "1243922",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  note =         "Applied mathematical programming and modelling
                 (Uxbridge, 1991)",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Annals of Operations Research",
  GH-number =    "38",
  journal-URL =  "http://link.springer.com/journal/10479",
}

@Article{Fletcher:1993:RDQ,
  author =       "R. Fletcher",
  title =        "Resolving Degeneracy in Quadratic Programming",
  journal =      j-ANN-OPER-RESEARCH,
  volume =       "47",
  number =       "1--4",
  pages =        "307--334",
  year =         "1993",
  CODEN =        "AOREEV",
  DOI =          "https://doi.org/10.1007/BF02023102",
  ISSN =         "0254-5330 (print), 1572-9338 (electronic)",
  ISSN-L =       "0254-5330",
  MRclass =      "90C20",
  MRnumber =     "1260025",
  MRreviewer =   "K. G. Murty",
  bibdate =      "Tue Jan 31 18:19:31 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  note =         "Degeneracy in optimization problems",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Annals of Operations Research",
  GH-number =    "37",
  journal-URL =  "http://link.springer.com/journal/10479",
  xxvolume =     "46/47",
}

@InProceedings{Fletcher:1994:OUO,
  author =       "R. Fletcher",
  title =        "An overview of unconstrained optimization",
  crossref =     "Spedicato:1994:ACO",
  pages =        "109--143",
  year =         "1994",
  MRclass =      "90C30 (90-02)",
  MRnumber =     "1314208",
  MRreviewer =   "K. Schittkowski",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@TechReport{Fletcher:1994:SED,
  author =       "R. Fletcher",
  title =        "Steepest Edge, Degeneracy and Conditioning in {LP}",
  type =         "Numerical Analysis Report",
  number =       "NA/154",
  institution =  inst-U-Dundee,
  address =      inst-U-Dundee:adr,
  pages =        "21",
  month =        nov,
  year =         "1994",
  bibdate =      "Tue Jan 31 18:21:51 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:1994:SMI,
  author =       "Roger Fletcher and Sven Leyffer",
  title =        "Solving mixed integer nonlinear programs by outer
                 approximation",
  journal =      j-MATH-PROG,
  volume =       "66",
  number =       "1--3",
  pages =        "327--349",
  month =        aug,
  year =         "1994",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01581153",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C11",
  MRnumber =     "1297070",
  MRreviewer =   "Vincen{\c{t}}iu Dumitru",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming",
  GH-number =    "39",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@InCollection{Al-Homidan:1995:HMF,
  author =       "Suliman Al-Homidan and Roger Fletcher",
  title =        "Hybrid methods for finding the nearest {Euclidean}
                 distance matrix",
  crossref =     "Du:1995:HMF",
  pages =        "1--17",
  year =         "1995",
  MRclass =      "90C30 (65F15)",
  MRnumber =     "1459991",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "41",
}

@Article{Fletcher:1995:OPD,
  author =       "R. Fletcher",
  title =        "An optimal positive definite update for sparse
                 {Hessian} matrices",
  journal =      j-SIAM-J-OPT,
  volume =       "5",
  number =       "1",
  pages =        "192--218",
  month =        feb,
  year =         "1995",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/0805010",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (65F50 65K05)",
  MRnumber =     "MR1315711 (96c:90108)",
  MRreviewer =   "S. Zlobec",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "40",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Al-Baali:1996:OCP,
  author =       "M. Al-Baali and R. Fletcher",
  title =        "On the Order of Convergence of Preconditioned
                 Nonlinear Conjugate Gradient Methods",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "17",
  number =       "3",
  pages =        "658--665",
  month =        may,
  year =         "1996",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827591194303",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "90C30 (65K05)",
  MRnumber =     "MR1384257 (97d:90082)",
  MRreviewer =   "John J. Dinkel",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/17/3;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/19430",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Sci. Comput.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@InProceedings{Buhmann:1997:BRM,
  author =       "M. D. Buhmann and R. Fletcher",
  title =        "A brief review of {M. J. D. Powell}'s work in
                 univariate and multivariate approximation theory",
  crossref =     "Buhmann:1997:ATO",
  pages =        "1--12",
  year =         "1997",
  bibdate =      "Mon Aug 11 06:20:19 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Buhmann:1997:CMP,
  author =       "M. D. Buhmann and R. Fletcher",
  title =        "The contributions of {Mike Powell} to optimization",
  crossref =     "Buhmann:1997:ATO",
  pages =        "13--18",
  year =         "1997",
  bibdate =      "Mon Aug 11 06:20:19 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Buhmann:1997:MJDa,
  author =       "M. D. Buhmann and R. Fletcher",
  title =        "{M. J. D. Powell}'s contributions to numerical
                 mathematics",
  crossref =     "Buhmann:1997:ATO",
  pages =        "1--1",
  year =         "1997",
  bibdate =      "Mon Aug 11 06:20:19 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Buhmann:1997:MJDb,
  author =       "M. D. Buhmann and R. Fletcher",
  title =        "{M. J. D. Powell}'s publications",
  crossref =     "Buhmann:1997:ATO",
  pages =        "19--30",
  year =         "1997",
  bibdate =      "Mon Aug 11 06:20:19 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Buhmann:1997:NO,
  author =       "Martin D. Buhmann and Roger Fletcher",
  editor =       "Martin D. Buhmann and A. Iserles",
  booktitle =    "[{Unknown}: this book is {NOT}
                 \cite{Buhmann:1997:ATO}]",
  title =        "Nonlinear optimization",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "1--30",
  year =         "1997",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  remark =       "I found this reference somewhere, and later found a
                 tableofcontents value, but subsequent Web and library
                 catalog searches fail to find this book, or its
                 chapters. Its chapter contents overlap somewhat with
                 those in Buhmann:1997:ATO, but the titles differ
                 substantially. Todd's title is not found in an
                 extensive list of his works at his personal Web site.
                 Is this perhaps is a figment of Web search AI rubbish
                 generation?",
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
  tableofcontents = "1. On the mathematical work of M. J. D. Powell /
                 Martin Buhmann and Arieh Iserles \\
                 2. Applications of radial basis function interpolants /
                 Ian Barrodale \\
                 3. Multivariate approximation by piecewise polynomials
                 / Carl de Boor \\
                 4. Nonlinear optimization / Roger Fletcher \\
                 5. Iterative methods for sparse linear systems / Gene
                 Golub \\
                 6. Wavelets / Charles Micchelli \\
                 7. Software issues in optimization / Jorge Mor{\'e} \\
                 8. The $ Q D $ method for eigenvalue approximation /
                 Beresford Parlett \\
                 9. Computations of the thin plate spline interpolant /
                 Mike Powell \\
                 10. Interior point methods / Mike Todd",
}

@InProceedings{Fletcher:1997:CSH,
  author =       "Roger Fletcher and Andreas Grothey and Sven Leyffer",
  title =        "Computing sparse {Hessian} and {Jacobian}
                 approximations with optimal hereditary properties",
  crossref =     "Biegler:1997:LSO",
  pages =        "37--52",
  year =         "1997",
  DOI =          "https://doi.org/10.1007/978-1-4612-1960-6_3",
  MRclass =      "90C30 (65F50)",
  MRnumber =     "1469748",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "IMA Volumes in Mathematics and its Applications",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "42",
}

@InProceedings{Fletcher:1997:DFS,
  author =       "Roger Fletcher",
  title =        "Dense factors of sparse matrices",
  crossref =     "Buhmann:1997:ATO",
  pages =        "145--166",
  year =         "1997",
  MRclass =      "65F05 (15A23 65F50)",
  MRnumber =     "1601703",
  MRreviewer =   "Dao Sheng Zheng",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:1997:SNS,
  author =       "Roger Fletcher and Tom Johnson",
  title =        "On the Stability of Null-Space Methods for {KKT}
                 Systems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "18",
  number =       "4",
  pages =        "938--958",
  month =        oct,
  year =         "1997",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479896297732",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65Fxx (90Cxx) 65F30 (90C25)",
  MRnumber =     "1 472 003",
  MRreviewer =   "Hubertus Th. Jongen",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/18/4;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/29773",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Matrix Anal. Appl.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GH-number =    "43",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Fletcher:1998:BTO,
  author =       "R. Fletcher",
  title =        "Block triangular orderings and factors for sparse
                 matrices in {LP}",
  crossref =     "Higham:1998:NAP",
  pages =        "91--110",
  year =         "1998",
  MRclass =      "65F50",
  MRnumber =     "1636935",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Pitman Res. Notes Math. Ser.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:1998:NDM,
  author =       "Roger Fletcher",
  title =        "A New Degeneracy Method and Steepest-Edge--Based
                 Conditioning for {LP}",
  journal =      j-SIAM-J-OPT,
  volume =       "8",
  number =       "4",
  pages =        "1038--1059",
  month =        nov,
  year =         "1998",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623494277470",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C05",
  MRnumber =     "MR1646118 (99g:90065)",
  MRreviewer =   "E. G. Gol{\cprime}shte{\u{\i}}n",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/8/4;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/27747",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "44",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Fletcher:1998:NEL,
  author =       "Roger Fletcher and Sven Leyffer",
  title =        "Numerical Experience with Lower Bounds for {MIQP}
                 Branch-and-Bound",
  journal =      j-SIAM-J-OPT,
  volume =       "8",
  number =       "2",
  pages =        "604--616",
  month =        may,
  year =         "1998",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623494268455",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C11",
  MRnumber =     "MR1618551 (99a:90139)",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/8/2;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/26845",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "45",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@TechReport{Fletcher:1999:BFM,
  author =       "Roger Fletcher and Sven Leyffer",
  title =        "A bundle filter method for nonsmooth nonlinear
                 optimization",
  type =         "Numerical Analysis Report",
  number =       "NA/209",
  institution =  "Mathematics Department, University of Dundee",
  address =      "Dundee, Scotland",
  day =          "22",
  month =        dec,
  year =         "1999",
  bibdate =      "Tue Aug 12 06:59:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://optimization-online.org/?p=8434",
  abstract =     "We consider minimizing a nonsmooth objective subject
                 to nonsmooth constraints. The nonsmooth functions are
                 approximated by a bundle of subgradients. The novel
                 idea of a filter is used to promote global
                 convergence.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@TechReport{Fletcher:2000:GCS,
  author =       "Roger Fletcher and Philippe L. Toint and Sven
                 Leyffer",
  title =        "On the global convergence of an {SLP}-filter
                 algorithm",
  type =         "Numerical Analysis Report",
  number =       "NA/209",
  institution =  "Mathematics Department, University of Dundee and
                 Department of Mathematics, University of Namur",
  address =      "Dundee, Scotland and Namur, Belgium",
  year =         "2000",
  bibdate =      "Tue Aug 12 06:59:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://optimization-online.org/?p=8439",
  abstract =     "A mechanism for proving global convergence
                 infilter-type methods for nonlinear programming is
                 described. Such methods are characterized by their use
                 of the dominance concept of multi objective
                 optimization, instead of a penalty parameter whose
                 adjustment can be problematic. The main point of
                 interest is to demonstrate how convergence for NLP can
                 be induced without forcing sufficient decent in a
                 penalty-type merit function. The proof technique is
                 presented in a fairly basic context, but the ideas
                 involved are likely to be more widely applicable. The
                 technique allows a range of specific algorithm choices
                 associated with updating the trust region radius and
                 with feasibility restoration.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:2000:IDC,
  author =       "Roger Fletcher and William Morton",
  title =        "Initialising distillation column models",
  journal =      j-COMP-CHEM-ENG,
  volume =       "23",
  number =       "11--12",
  pages =        "1811--1824",
  day =          "5",
  month =        jan,
  year =         "2000",
  CODEN =        "CCENDW",
  DOI =          "https://doi.org/10.1016/S0098-1354(00)00295-7",
  ISSN =         "0098-1354 (print), 1873-4375 (electronic)",
  ISSN-L =       "0098-1354",
  bibdate =      "Mon Aug 11 09:46:11 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Chem. Eng.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Computers \& Chemical Engineering",
  GH-number =    "48",
  journal-URL =  "https://www.sciencedirect.com/journal/computers-and-chemical-engineering",
}

@Article{Fletcher:2000:SRH,
  author =       "R. Fletcher",
  title =        "Stable reduced {Hessian} updates for indefinite
                 quadratic programming",
  journal =      j-MATH-PROG,
  volume =       "87",
  number =       "2",
  pages =        "251--264",
  month =        apr,
  year =         "2000",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s101070050113",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C20 (65K05)",
  MRnumber =     "1763850",
  MRreviewer =   "Robert W. Owens",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  note =         "Studies in algorithmic optimization",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  GH-number =    "47",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Book{Fletcher:2001:PMO,
  author =       "R. Fletcher",
  title =        "Practical Methods of Optimization",
  publisher =    pub-WILEY-INTERSCIENCE,
  address =      pub-WILEY-INTERSCIENCE:adr,
  edition =      "Second",
  pages =        "xiv + 436",
  year =         "2001",
  ISBN =         "0-471-49463-1",
  ISBN-13 =      "978-0-471-49463-8",
  LCCN =         "QA402.5 .F57 2008",
  MRclass =      "90-01 (65K05)",
  MRnumber =     "1867781",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "46",
}

@Article{Fletcher:2002:GCF,
  author =       "Roger Fletcher and Sven Leyffer and Philippe L.
                 Toint",
  title =        "On the Global Convergence of a Filter--{SQP}
                 Algorithm",
  journal =      j-SIAM-J-OPT,
  volume =       "13",
  number =       "1",
  pages =        "44--59",
  month =        may # "\slash " # aug,
  year =         "2002",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S105262340038081X",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C55 (65K05 90C26)",
  MRnumber =     "MR1922433 (2003g:90121)",
  MRreviewer =   "Christian Zillober",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/13/1;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/38081",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "50",
  journal-URL =  "http://epubs.siam.org/siopt",
  remark =       "The SIAM Lagrange Prize was awarded for this paper and
                 \cite{Fletcher:2002:NPP}.",
}

@Article{Fletcher:2002:GCT,
  author =       "Roger Fletcher and Nicholas I. M. Gould and Sven
                 Leyffer and Philippe L. Toint and Andreas W{\"a}chter",
  title =        "Global Convergence of a Trust-Region {SQP}-Filter
                 Algorithm for General Nonlinear Programming",
  journal =      j-SIAM-J-OPT,
  volume =       "13",
  number =       "3",
  pages =        "635--659",
  month =        nov # "\slash " # feb,
  year =         "2002",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623499357258",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (65K05 90C55)",
  MRnumber =     "1972208 (2004b:90105)",
  MRreviewer =   "Christian Zillober",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/13/3;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/35725",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "51",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@TechReport{Fletcher:2002:LCS,
  author =       "Roger Fletcher and Sven Leyffer and Daniel Ralph and
                 Stefan Scholtes",
  title =        "Local convergence of {SQP} methods for Mathematical
                 Programs with Equilibrium Constraints",
  type =         "Numerical Analysis Report",
  number =       "NA/209",
  institution =  "Mathematics Department, University of Dundee",
  address =      "Dundee, Scotland",
  day =          "9",
  month =        may,
  year =         "2002",
  bibdate =      "Tue Aug 12 06:59:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://optimization-online.org/?p=9231",
  abstract =     "Recently, it has been shown that Nonlinear Programming
                 solvers can successfully solve a range of Mathematical
                 Programs with Equilibrium Constraints (MPECs). In
                 particular, Sequential Quadratic Programming (SQP)
                 methods have been very successful. This paper examines
                 the local convergence properties of SQP methods applied
                 to MPECs. It is shown that SQP converges superlinearly
                 under reasonable assumptions near a strongly stationary
                 point. A number of illustrative examples are presented
                 which show that some of the assumptions are difficult
                 to relax.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@TechReport{Fletcher:2002:NES,
  author =       "Roger Fletcher and Sven Leyffer",
  title =        "Numerical experience with solving {MPECs} as {NLPs}",
  type =         "Numerical Analysis Report",
  number =       "NA/210",
  institution =  "Mathematics Department, University of Dundee",
  address =      "Dundee, Scotland",
  day =          "20",
  month =        aug,
  year =         "2002",
  bibdate =      "Tue Aug 12 06:59:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://optimization-online.org/?p=9269",
  abstract =     "This paper describes numerical experience with solving
                 MPECs as NLPs on a large collection of test problems.
                 The key idea is to use off-the-shelf NLP solvers to
                 tackle large instances of MPECs. It is shown that SQP
                 methods are very well suited to solving MPECs and at
                 present outperform Interior Point solvers both in terms
                 of speed and reliability. All NLP solvers also compare
                 very favourably to special MPEC solvers on tests
                 published in the literature",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:2002:NPP,
  author =       "Roger Fletcher and Sven Leyffer",
  title =        "Nonlinear programming without a penalty function",
  journal =      j-MATH-PROG,
  volume =       "91",
  number =       "2",
  pages =        "239--269",
  month =        jan,
  year =         "2002",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s101070100244",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C30 (90C55)",
  MRnumber =     "1875517",
  MRreviewer =   "G. M. Ostrovsky",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  GH-number =    "49",
  journal-URL =  "http://link.springer.com/journal/10107",
  remark =       "The SIAM Lagrange Prize was awarded for this paper and
                 \cite{Fletcher:2002:GCF}.",
}

@Article{Chin:2003:GCS,
  author =       "Choong Ming Chin and Roger Fletcher",
  title =        "On the global convergence of an {SLP}-filter algorithm
                 that takes {EQP} steps",
  journal =      j-MATH-PROG,
  volume =       "96",
  number =       "1",
  pages =        "161--177",
  month =        apr,
  year =         "2003",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-003-0378-6",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C22",
  MRnumber =     "1974171",
  MRreviewer =   "Hiroshi Yabe",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  GH-number =    "52",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@InProceedings{Fletcher:2003:FTA,
  author =       "Roger Fletcher and Sven Leyffer",
  title =        "Filter-type algorithms for solving systems of
                 algebraic equations and inequalities",
  crossref =     "DiPillo:2003:HPA",
  pages =        "265--284",
  year =         "2003",
  DOI =          "https://doi.org/10.1007/978-1-4613-0241-4_12",
  MRclass =      "90C29 (15A39 65K05)",
  MRnumber =     "2040367",
  MRreviewer =   "Marco Locatelli",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Appl. Optim.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:2004:SMP,
  author =       "Roger Fletcher and Sven Leyffer",
  title =        "Solving mathematical programs with complementarity
                 constraints as nonlinear programs",
  journal =      j-OPTIM-METHODS-SOFTW,
  volume =       "19",
  number =       "1",
  pages =        "15--40",
  year =         "2004",
  DOI =          "https://doi.org/10.1080/10556780410001654241",
  ISSN =         "1055-6788,1029-4937",
  ISSN-L =       "1026-7670",
  MRclass =      "90C30 (49M37 65K05 90C33 90C55)",
  MRnumber =     "2062234",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Optimization Methods \& Software",
  GH-number =    "53",
  journal-URL =  "http://www.tandfonline.com/loi/goms20",
}

@Article{Dai:2005:ABS,
  author =       "Yu-Hong Dai and Roger Fletcher",
  title =        "On the asymptotic behaviour of some new gradient
                 methods",
  journal =      j-MATH-PROG,
  volume =       "103",
  number =       "3",
  pages =        "541--559",
  month =        jul,
  year =         "2005",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-004-0516-9",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C52",
  MRnumber =     "2166548",
  MRreviewer =   "Marco Gaviano",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  GH-number =    "55",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Dai:2005:PBB,
  author =       "Yu-Hong Dai and Roger Fletcher",
  title =        "Projected {Barzilai--Borwein} methods for large-scale
                 box-constrained quadratic programming",
  journal =      j-NUM-MATH,
  volume =       "100",
  number =       "1",
  pages =        "21--47",
  year =         "2005",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s00211-004-0569-y",
  ISSN =         "0029-599X,0945-3245",
  ISSN-L =       "0029-599X",
  MRclass =      "90C20 (65K05 90C52)",
  MRnumber =     "2129700",
  MRreviewer =   "Paul H. Calamai",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Numerische Mathematik",
  GH-number =    "56",
  journal-URL =  "http://link.springer.com/journal/211",
}

@InProceedings{Fletcher:2005:BBM,
  author =       "Roger Fletcher",
  title =        "On the {Barzilai--Borwein} method",
  crossref =     "Qi:2005:OCA",
  pages =        "235--256",
  year =         "2005",
  DOI =          "https://doi.org/10.1007/0-387-24255-4_10",
  MRclass =      "90C30 (90C06)",
  MRnumber =     "2144378",
  MRreviewer =   "V. F. Dem{\cprime}yanov",
  bibdate =      "Thu Aug 11 11:22:39 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  GH-number =    "54",
  ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646",
  subject-dates = "Jonathan Michael Borwein (20 May 1951--2 August
                 2016)",
}

@TechReport{Fletcher:2005:NLR,
  author =       "Roger Fletcher",
  title =        "A New Low Rank Quasi-{Newton} Update Scheme for
                 Nonlinear Programming",
  type =         "Numerical Analysis Report",
  number =       "NA/223",
  institution =  "Mathematics Department, University of Dundee",
  address =      "Dundee, Scotland",
  month =        aug,
  year =         "2005",
  bibdate =      "Tue Aug 12 06:59:21 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://optimization-online.org/?p=9012",
  abstract =     "A new quasi-Newton scheme for updating a low rank
                 positive semi-definite Hessian approximation is
                 described, primarily for use in sequential quadratic
                 programming methods for nonlinear programming. Where
                 possible the symmetric rank one update formula is used,
                 but when this is not possible a new rank two update is
                 used, which is not in the Broyden family, although
                 invariance under linear transformations of the
                 variables is preserved. The representation provides a
                 limited memory capability, and there is an ordering
                 scheme which enables old information to be deleted when
                 the memory is full. Hereditary and conjugacy properties
                 are preserved to the maximum extent when minimizing a
                 quadratic function subject to linear constraints.
                 Practical experience is described on small (and some
                 larger) CUTE test problems, and is reasonably
                 encouraging, although there is some evidence of slow
                 convergence on large problems with large null spaces.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  remark =       "Published in \cite{Fletcher:2006:NLR}.",
}

@Article{Dai:2006:NAS,
  author =       "Yu-Hong Dai and Roger Fletcher",
  title =        "New algorithms for singly linearly constrained
                 quadratic programs subject to lower and upper bounds",
  journal =      j-MATH-PROG,
  volume =       "106",
  number =       "3",
  pages =        "403--421",
  month =        may,
  year =         "2006",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-005-0595-2",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C20",
  MRnumber =     "2216786",
  MRreviewer =   "Henry Wolkowicz",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  GH-number =    "57",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@TechReport{Fletcher:2006:BHF,
  author =       "Roger Fletcher and Sven Leyffer and Philippe L.
                 Toint",
  title =        "A Brief History of Filter Methods",
  type =         "Preprint",
  number =       "ANL/MCS-P1372-0906",
  institution =  "Argonne National Laboratory, Mathematics and Computer
                 Science Division",
  address =      "Argonne, IL, USA",
  month =        sep,
  year =         "2006",
  bibdate =      "Tue Aug 12 06:53:36 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://optimization-online.org/?p=10003",
  abstract =     "We consider the question of global convergence of
                 iterative methods for nonlinear programming problems.
                 Traditionally, penalty functions have been used to
                 enforce global convergence. In this paper we review a
                 recent alternative, so-called filter methods. Instead
                 of combing the objective and constraint violation into
                 a single function, filter methods view nonlinear
                 optimization as a biobjective optimization problem that
                 minimizes the objective and the constraint violation.
                 We outline the main ideas and convergence results of
                 filter methods and indicate other areas where filter
                 methods have been used successfully.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:2006:LCS,
  author =       "Roger Fletcher and Sven Leyffer and Danny Ralph and
                 Stefan Scholtes",
  title =        "Local Convergence of {SQP} Methods for Mathematical
                 Programs with Equilibrium Constraints",
  journal =      j-SIAM-J-OPT,
  volume =       "17",
  number =       "1",
  pages =        "259--286",
  month =        jan,
  year =         "2006",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623402407382",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C55 (65K05 90C30 90C33)",
  MRnumber =     "2219153",
  MRreviewer =   "Nobuo Yamashita",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/17/1;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "58",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@InProceedings{Fletcher:2006:NLR,
  author =       "R. Fletcher",
  title =        "A new low rank quasi-{Newton} update scheme for
                 nonlinear programming",
  crossref =     "Ceragioli:2006:SMO",
  pages =        "275--293",
  year =         "2006",
  DOI =          "https://doi.org/10.1007/0-387-33006-2_25",
  MRclass =      "90C55 (90C30)",
  MRnumber =     "2249341",
  MRreviewer =   "Claudia A. Sagastiz{\'a}bal",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "IFIP Int. Fed. Inf. Process.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Fletcher:2010:BST,
  author =       "Roger Fletcher and Gaetano Zanghirati",
  title =        "Binary separation and training support vector
                 machines",
  journal =      j-ACTA-NUMERICA,
  volume =       "19",
  pages =        "121--158",
  year =         "2010",
  CODEN =        "ANUMFU",
  DOI =          "https://doi.org/10.1017/S0962492910000024",
  ISBN =         "0-521-19284-6",
  ISBN-13 =      "978-0-521-19284-2",
  ISSN =         "0962-4929 (print), 1474-0508 (electronic)",
  ISSN-L =       "0962-4929",
  LCCN =         "QA276",
  MRclass =      "68T05 (65K99)",
  MRnumber =     "2652781 (2011f:68149)",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Acta Numer.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Acta Numerica",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANU",
  onlinedate =   "10 May 2010",
}

@InProceedings{Fletcher:2010:SQP,
  author =       "Roger Fletcher",
  title =        "The Sequential Quadratic Programming Method",
  crossref =     "DiPillo:2010:NOL",
  pages =        "165--214",
  year =         "2010",
  DOI =          "https://doi.org/10.1007/978-3-642-11339-0_3",
  MRclass =      "90C55 (90C20 90C30) 90-06 (90Cxx)",
  MRnumber =     "2664157; 2648977 (2011e:90119)",
  MRreviewer =   "Stefan M. Stefanov",
  bibdate =      "Tue May 20 14:16:37 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm2010.bib",
  note =         "Papers from the CIME Summer School held in Cetraro,
                 July 1--7, 2007.",
  series =       ser-LNM,
  URL =          "http://link.springer.com/content/pdf/10.1007/978-3-642-11339-0_3.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Lecture Notes in Mathematics",
}

@Article{Fletcher:2012:LMS,
  author =       "Roger Fletcher",
  title =        "A limited memory steepest descent method",
  journal =      j-MATH-PROG,
  volume =       "135",
  number =       "1--2",
  pages =        "413--436",
  month =        oct,
  year =         "2012",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-011-0479-6",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  MRclass =      "90C06 (90C26)",
  MRnumber =     "2968263",
  MRreviewer =   "Warren L. Hare",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://optimization-online.org/?p=11005",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Mathematical Programming",
  GH-number =    "59",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Fletcher:2012:SLC,
  author =       "Roger Fletcher",
  title =        "A Sequential Linear Constraint Programming Algorithm
                 for {NLP}",
  journal =      j-SIAM-J-OPT,
  volume =       "22",
  number =       "3",
  pages =        "772--794",
  month =        "????",
  year =         "2012",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/110844362",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (65K05)",
  MRnumber =     "3023750",
  MRreviewer =   "Zhen Jun Shi",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/22/3;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "60",
  journal-URL =  "http://epubs.siam.org/siopt",
  onlinedate =   "January 2012",
}

@Article{Shen:2012:NFM,
  author =       "Chungen Shen and Sven Leyffer and Roger Fletcher",
  title =        "A nonmonotone filter method for nonlinear
                 optimization",
  journal =      j-COMP-OPTIM-APPL,
  volume =       "52",
  number =       "3",
  pages =        "583--607",
  month =        jul,
  year =         "2012",
  CODEN =        "CPPPEF",
  DOI =          "https://doi.org/10.1007/s10589-011-9430-2",
  ISSN =         "0926-6003,1573-2894",
  ISSN-L =       "0926-6003",
  MRclass =      "90C30 (90C55)",
  MRnumber =     "2950497",
  MRreviewer =   "Jin Yun Yuan",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://optimization-online.org/2009/10/2439/",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Computational Optimization and Applications. An
                 International Journal",
  GH-number =    "61",
  journal-URL =  "http://link.springer.com/journal/10589",
}

@Article{Fletcher:2014:WMR,
  author =       "Roger Fletcher",
  title =        "On {Wolfe}'s Method for Resolving Degeneracy in
                 Linearly Constrained Optimization",
  journal =      j-SIAM-J-OPT,
  volume =       "24",
  number =       "3",
  pages =        "1122--1137",
  month =        "????",
  year =         "2014",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/130930522",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (90C05 90C20 90C49 90C55)",
  MRnumber =     "3240859",
  MRreviewer =   "Pablo Guerrero-Garc{\'i}a",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/24/3;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "SIAM Journal on Optimization",
  GH-number =    "62",
  journal-URL =  "http://epubs.siam.org/siopt",
  onlinedate =   "January 2014",
}

@Article{Fletcher:2017:ALB,
  author =       "Roger Fletcher",
  title =        "Augmented {Lagrangians}, box constrained {QP} and
                 extensions",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "37",
  number =       "4",
  pages =        "1635--1656",
  day =          "1",
  month =        oct,
  year =         "2017",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/drx002",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65K05 (90C29 90C56)",
  MRnumber =     "3712170",
  MRreviewer =   "Nicolas Gillis",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib",
  URL =          "https://academic.oup.com/imajna/article/37/4/1635/3059683",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "IMA Journal of Numerical Analysis",
  GH-number =    "63",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Article{Buhmann:2018:MJD,
  author =       "M. D. Buhmann and R. {Fletcher FRS} and A. Iserles and
                 P. Toint",
  title =        "{Michael J. D. Powell. 29 July 1936--19 April 2015}",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "64",
  pages =        "341--366",
  month =        jun,
  year =         "2018",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.2017.0023",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Wed Aug 23 08:44:49 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/biograph-memoirs-fellows-roy-soc.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Biogr. Mem. Fell. R. Soc. Lond.",
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  GH-number =    "64",
  journal-URL =  "https://royalsocietypublishing.org/journal/rsbm;
                 https://www.jstor.org/journal/biogmemofellroya",
  published =    "31 January 2018",
  remark =       "Roger Fletcher (29 January 1939--15 July 2016) died
                 after completing a draft of a section of this memory,
                 two years before publication.",
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
}

%%% ====================================================================
%%%     Part 2: Publications about Roger Fletcher and his works
%%%
%%% Bibliography entries, sorted by year, and then by citation label:

@Article{Hestenes:1952:MCG,
  author =       "Magnus R. Hestenes and Eduard Stiefel",
  title =        "Methods of Conjugate Gradients for Solving Linear
                 Systems",
  journal =      j-J-RES-NATL-BUR-STAND-1934,
  volume =       "49",
  number =       "6",
  pages =        "409--436",
  month =        dec,
  year =         "1952",
  DOI =          "https://doi.org/10.6028/jres.049.044",
  ISSN =         "0091-0635 (print), 2376-5305 (electronic)",
  ISSN-L =       "0091-0635",
  MRclass =      "65.0X",
  MRnumber =     "0060307",
  MRreviewer =   "A. S. Householder",
  bibdate =      "Wed Sep 2 16:23:13 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib",
  note =         "Research paper 2379.",
  ZMnumber =     "0048.09901",
  abstract =     "An iterative algorithm is given for solving a system $
                 A x = k $ of $n$ linear equations in $n$ unknowns. The
                 solution is given in $n$ steps. It is shown that this
                 method is a special case of a very general method which
                 also includes Gaussian elimination. These general
                 algorithms are essentially algorithms for finding an
                 $n$ dimensional ellipsoid. Connections are made with
                 the theory of orthogonal polynomials and continued
                 fractions.",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Research Nat. Bur. Standards",
  author-dates = "Eduard Stiefel (21 April 1909--25 November 1978);
                 Magnus Rudolph Hestenes (13 February 1906--31 May
                 1991)",
  fjournal =     "Journal of Research of the National Bureau of
                 Standards (1934)",
  journal-URL =  "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
  received =     "8 May 1952",
  remark =       "This is the paper that introduced conjugate gradient
                 methods, which remain in wide use in numeric
                 computation, with many algorithmic enhancements. The
                 MathSciNet database lists over 1700 publications about
                 conjugate gradients.",
  ZBmath =       "3075195",
}

@TechReport{Davidon:1959:VMM,
  author =       "William C. Davidon",
  title =        "Variable metric method for minimization",
  type =         "AEC Research and Development Report",
  number =       "ANL-5990 (revised)",
  institution =  "Argonne National Laboratory",
  address =      "Argonne, IL, USA",
  month =        may,
  year =         "1959",
  bibdate =      "Tue Aug 12 07:59:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  note =         "Reprinted in \cite{Davidon:1991:VMM}.",
  acknowledgement = ack-nhfb,
  remark =       "This report is the D in the DFP
                 (Davidon--Fletcher--Powell) method.",
}

@Article{Davidon:1968:VAM,
  author =       "William C. Davidon",
  title =        "Variance Algorithm for Minimization",
  journal =      j-COMP-J,
  volume =       "10",
  number =       "4",
  pages =        "406--410",
  month =        feb,
  year =         "1968",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/10.4.406",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Tue Dec 4 14:47:39 MST 2012",
  bibsource =    "http://comjnl.oxfordjournals.org/content/10/4.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/10/4/406.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/100406.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/406.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/407.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/408.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/409.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_10/Issue_04/tiff/410.tif",
  acknowledgement = ack-nhfb,
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Sasson:1969:CUP,
  author =       "Albert M. Sasson",
  title =        "Combined Use of the {Powell} and {Fletcher--Powell}
                 Nonlinear Programming Methods for Optimal Load Flows",
  journal =      j-IEEE-TRANS-POWER-APPAR-SYST,
  volume =       "PAS-88",
  number =       "10",
  pages =        "1530--1537",
  month =        oct,
  year =         "1969",
  CODEN =        "IEPSA9",
  DOI =          "https://doi.org/10.1109/TPAS.1969.292281",
  ISSN =         "0018-9510",
  ISSN-L =       "0018-9510",
  bibdate =      "Sat Nov 18 12:12:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "IEEE Trans. Power Appar. Syst.",
  fjournal =     "IEEE Transactions on Power Apparatus and Systems",
  journal-URL =  "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=10669",
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Broyden:1970:CCDa,
  author =       "C. G. Broyden",
  title =        "The convergence of a class of double-rank minimization
                 algorithms. {I}: {General} considerations",
  journal =      j-J-INST-MATH-APPL,
  volume =       "6",
  number =       "??",
  pages =        "76--90",
  year =         "1970",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "65K05 90C30 90C20",
  bibdate =      "Fri Apr 5 07:48:29 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
  ZMnumber =     "0223.65023",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
  remark =       "This paper is the B in the BFGS
                 (Broyden--Fletcher--Goldfarb--Shanno) method.",
}

@Article{Goldfarb:1970:FVM,
  author =       "Donald Goldfarb",
  title =        "A Family of Variable-Metric Methods Derived by
                 Variational Means",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "109",
  pages =        "23--26",
  month =        jan,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Comput.",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  remark =       "This paper is the G in the BFGS
                 (Broyden--Fletcher--Goldfarb--Shanno) method.",
}

@Article{Shanno:1970:CQN,
  author =       "D. F. Shanno",
  title =        "Conditioning of Quasi-{Newton} Methods for Function
                 Minimization",
  journal =      j-MATH-COMPUT,
  volume =       "24",
  number =       "111",
  pages =        "647--656",
  month =        jul,
  year =         "1970",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Comput.",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  remark =       "This paper is the S in the BFGS
                 (Broyden--Fletcher--Goldfarb--Shanno) method.",
}

@Article{Burmeister:1973:KFP,
  author =       "W. Burmeister",
  title =        "{Die konvergenzordnung des Fletcher--Powell
                 algorithmus}. ({German}) [{The} convergence order of
                 the {Fletcher--Powell} Algorithm]",
  journal =      j-Z-ANGE-MATH-MECH,
  volume =       "53",
  number =       "10",
  pages =        "693--699",
  month =        "????",
  year =         "1973",
  CODEN =        "ZAMMAX",
  DOI =          "https://doi.org/10.1002/zamm.19730531007",
  ISSN =         "0044-2267 (print), 1521-4001 (electronic)",
  ISSN-L =       "0044-2267",
  bibdate =      "Tue Aug 12 11:24:50 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  URL =          "https://onlinelibrary.wiley.com/doi/10.1002/zamm.19730531007",
  acknowledgement = ack-nhfb,
  fjournal =     "{Zeitschrift f{\"u}r Angewandte Mathematik und
                 Mechanik}",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
  language =     "German",
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Dennis:1974:CSC,
  author =       "J. E. {Dennis, Jr.} and Jorge J. Mor{\'e}",
  title =        "A characterization of superlinear convergence and its
                 application to quasi-{Newton} methods",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "126",
  pages =        "549--560",
  month =        apr,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Comput.",
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Cornell Univ., Ithaca, NY, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algebra; asymptotic behaviour; characterisation
                 theorem; convergence of numerical methods; Davidon
                 Fletcher Powell method; exact line searches; iterative
                 methods; linear; quasi-Newton methods; superlinear
                 convergence",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Werner:1974:KDF,
  author =       "Jochen Werner",
  title =        "{{\"U}ber die Konvergenz des
                 Davidon--Fletcher--Powell-Verfahrens f{\"u}r streng
                 konvexe Minimierungsaufgaben im Hilbertraum}.
                 ({German}) [{On} the Convergence of the
                 {Davidon--Fletcher--Powell}-Method for Strictly Convex
                 Minimization Problems in {Hilbert} Space]",
  journal =      j-COMPUTING,
  volume =       "12",
  number =       "2",
  pages =        "167--176",
  month =        jun,
  year =         "1974",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Tue Jan 2 17:40:52 MST 2001",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/computing.bib;
                 INSPEC Axiom database (1968--date)",
  acknowledgement = ack-ec # " and " # ack-nhfb,
  affiliation =  "Univ. G{\"o}ttingen, West Germany",
  classification = "921; B0260; B0290; C1180; C4100",
  description =  "convergence; minimisation",
  fjournal =     "Computing",
  journal-URL =  "http://link.springer.com/journal/607",
  journalabr =   "Comput (Vienna/NY)",
  keywords =     "convergence; Davidon Fletcher Powell method; Hilbert
                 space; mathematical techniques; strictly convex
                 minimization problems",
  language =     "German",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Billinton:1976:FPA,
  author =       "R. Billinton and S. S. Sachdeva",
  title =        "The {Fletcher--Powell} approach for large power system
                 optimization",
  journal =      j-CAN-ELECTR-ENG-J,
  volume =       "1",
  number =       "2",
  pages =        "17--23",
  year =         "1976",
  CODEN =        "CEEJDY",
  DOI =          "https://doi.org/10.1109/CEEJ.1976.6830805",
  ISSN =         "0700-9216",
  ISSN-L =       "0700-9216",
  bibdate =      "Sat Nov 18 12:12:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Can. Electr. Eng. J.",
  fjournal =     "Canadian Electrical Engineering Journal = Revue
                 canadienne de g{\'e}nie {\'e}lectrique",
  journal-URL =  "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6449389",
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Brauninger:1981:VMA,
  author =       "J. Br{\"a}uninger",
  title =        "A variable metric algorithm for unconstrained
                 minimization without evaluation of derivatives",
  journal =      j-NUM-MATH,
  volume =       "36",
  number =       "4",
  pages =        "359--373",
  month =        may,
  year =         "1981",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "",
  MRnumber =     "83b:65065",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation); C4240
                 (Programming and algorithm theory)",
  corpsource =   "Math. Inst. A, Univ. Stuttgart, Stuttgart, West
                 Germany",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "Broyden Fletcher Goldfarb Shanno method; complete
                 convergence; computational complexity; convergence of
                 numerical methods; derivative evaluation; function
                 approximation; gradient; Hessian matrix;
                 Lipschitz-condition; objective function; unconstrained
                 minimization; variable metric algorithm",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Dennis:1982:BRP,
  author =       "John E. {Dennis, Jr.}",
  title =        "Book Review: {{\booktitle{Practical Methods of
                 Optimization, Vol. 1: Unconstrained Optimization}} (R.
                 Fletcher)}",
  journal =      j-SIAM-REVIEW,
  volume =       "24",
  number =       "1",
  pages =        "97--98",
  month =        "????",
  year =         "1982",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1024028",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:25 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/24/1;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM Rev.",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1982",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Beinicke:1983:PED,
  author =       "G. Beinicke and K. O. Dzhaparidze",
  title =        "On Parameter Estimation by the
                 {Davidon--Fletcher--Powell} Method",
  journal =      j-THEORY-PROBAB-APPL,
  volume =       "27",
  number =       "2",
  pages =        "396--402",
  month =        "????",
  year =         "1983",
  CODEN =        "TPRBAU",
  DOI =          "https://doi.org/10.1137/1127046",
  ISSN =         "0040-585X (print), 1095-7219 (electronic)",
  ISSN-L =       "0040-585X",
  bibdate =      "Tue Apr 1 10:38:49 MDT 2014",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/TVP/27/2;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Theory Probab. Appl.",
  fjournal =     "Theory of Probability and its Applications",
  journal-URL =  "http://epubs.siam.org/tvp",
  onlinedate =   "January 1983",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Blascow:1984:MAC,
  author =       "Stanley M. {Blascow, Jr.} and James A. Donnelly",
  title =        "Module Adds Curve-Fitting and Optimization
                 Capabilities to the {HP-71B}",
  journal =      j-HEWLETT-PACKARD-J,
  volume =       "35",
  number =       "7",
  pages =        "22--24",
  month =        jul,
  year =         "1984",
  CODEN =        "HPJOAX",
  ISSN =         "0018-1153",
  bibdate =      "Tue Mar 25 14:12:15 MST 1997",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/hpj.bib",
  abstract =     "Fitting observed data to a mathematical model and
                 finding the optimum values for a multivariable function
                 are common engineering needs. To aid the engineer in
                 performing such calculations, a special plug-in ROM
                 module was developed for the HP-71B Computer. This
                 plug-in ROM can fit data to a variety of built-in
                 functions or, given a function of up to 20 variables,
                 find values for local minima or maxima.",
  acknowledgement = ack-nhfb,
  affiliation =  "Hewlett--Packard Co, Portable Computer Div, Corvallis,
                 OR, USA",
  affiliationaddress = "Hewlett--Packard Co, Portable Computer Div,
                 Corvallis, OR, USA",
  classcodes =   "C1180 (Optimisation techniques); C6130 (Data handling
                 techniques); C7310 (Mathematics computing)",
  classification = "722; 723",
  journalabr =   "Hewlett Packard J",
  keywords =     "BASIC programs; binary; computer; computers,
                 miniature; curve fitting; curve-fitting; data storage,
                 digital --- Fixed; Fletcher-Powell method; HP-71B;
                 optimisation; plug-in ROM module; read-only storage;
                 ROM; subprograms",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  treatment =    "G General Review",
}

@Article{Tapia:1984:BRP,
  author =       "Richard Tapia",
  title =        "Book Review: {{\booktitle{Practical Methods of
                 Optimization, Volume 2: Constrained Optimization}} (R.
                 Fletcher)}",
  journal =      j-SIAM-REVIEW,
  volume =       "26",
  number =       "1",
  pages =        "143--144",
  month =        "????",
  year =         "1984",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1026027",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:44 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/26/1;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM Rev.",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1984",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Al-Baali:1985:DPG,
  author =       "M. Al-Baali",
  title =        "Descent property and global convergence of the
                 {Fletcher--Reeves} method with inexact line search",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "5",
  number =       "1",
  pages =        "121--124",
  year =         "1985",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "49D07 (65K99 90C30)",
  MRnumber =     "86d:49043",
  bibdate =      "Sat Dec 23 17:06:35 MST 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@InProceedings{Martins-Camelo:1986:LAB,
  author =       "L. Martins-Camelo and Y. Patenaude and G. Seguin",
  editor =       "{IEEE}",
  booktitle =    "{1986 Antennas and Propagation Society International
                 Symposium [Wyndham Franklin Plaza Hotel, Philadelphia,
                 PA, USA, June 8--13, 1986]}",
  title =        "Linear array beam shaping using {Fletcher--Powell}
                 optimization",
  volume =       "24",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  bookpages =    "vi + 1044 (2 volumes)",
  pages =        "395--398",
  year =         "1986",
  DOI =          "https://doi.org/10.1109/APS.1986.1149772",
  LCCN =         "TK7871.6.A15 1986",
  bibdate =      "Sat Nov 18 12:12:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  note =         "IEEE Catalog No. 86CH2325-9.",
  acknowledgement = ack-nhfb,
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
  xxISBN =       "none",
}

@Article{Powell:1986:HBB,
  author =       "M. J. D. Powell",
  title =        "How Bad are the {BFGS} and {DFP} Methods when the
                 Objective Function is Quadratic?",
  journal =      j-MATH-PROG,
  volume =       "34",
  number =       "1",
  pages =        "34--47",
  year =         "1986",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/BF01582161",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C30 (65K05)",
  MRnumber =     "819873",
  MRreviewer =   "T. L. Freeman",
  bibdate =      "Sat Nov 18 08:33:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Powell:1987:EGB,
  author =       "M. J. D. Powell",
  title =        "On Error Growth in the {Bartels--Golub} and
                 {Fletcher--Matthews} Algorithms for Updating Matrix
                 Factorizations",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88--89",
  number =       "??",
  pages =        "597--621",
  month =        "????",
  year =         "1987",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(87)90127-3",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F05 (65G05 65K05)",
  MRnumber =     "89c:65039 (882465)",
  MRreviewer =   "Alfonso Laratta",
  bibdate =      "Sat Nov 18 08:33:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  subject-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007); Roger Fletcher (29 January 1939--15 July 2016)",
  xxpages =      "597--621",
}

@Article{Kamata:1989:REP,
  author =       "Seiichiro Kamata and Seiji Ishikawa and Kiyoshi Kato",
  title =        "Reconstructing an edge on a polyhedron using an
                 optimization method",
  journal =      j-CVGIP,
  volume =       "47",
  number =       "1",
  pages =        "92--104",
  month =        jul,
  year =         "1989",
  CODEN =        "CVGPDB",
  ISSN =         "0734-189X (print), 1557-895X (electronic)",
  ISSN-L =       "0734-189X",
  bibdate =      "Thu Feb 6 18:44:11 MST 1997",
  bibsource =    "Compendex database; Graphics/rosenfeld/1989.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/cvgip.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Comput. Sci., Fac. of Eng., Kyushu Inst. of
                 Technol., Kitakyushu, Japan",
  affiliationaddress = "Kitakyushu, Jpn",
  classification = "723; 741; 921; C1180 (Optimisation techniques);
                 C1250 (Pattern recognition); C5260B (Computer vision
                 and picture processing)",
  fjournal =     "Computer Vision, Graphics, and Image Processing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0734189X",
  journalabr =   "Comput Vision Graphics Image Process",
  keywords =     "Approximate location; Computer Vision; Correct
                 position; Davidon-Fletcher-Powell method; Edge on a
                 polyhedron; Edge reconstruction; Image Processing;
                 Optimization method; Optimization--Applications;
                 Orthographic projection; Polyhedrons; Reconstruction;
                 Recovering; Recovery technique; Video image, image part
                 form, large dimensionality; Vision--Artificial",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  thesaurus =    "Computer vision; Optimisation",
}

@Article{Anonymous:1990:BRP,
  author =       "Anonymous",
  title =        "Book Review: {{\booktitle{Praclical methods of
                 optimization}}, 2nd ed, R. Fletcher. John Wiley and
                 ISBN 0-471-86187, \pounds 24.50. pp. xii + 436. Sons,
                 Chichester, 1987}",
  journal =      j-J-APPL-ECONOMETRICS,
  volume =       "5",
  number =       "4",
  pages =        "407--409",
  month =        sep # "--" # dec,
  year =         "1990",
  CODEN =        "JAECET",
  DOI =          "https://doi.org/10.1002/jae.3950050409",
  ISSN =         "0883-7252 (print), 1099-1255 (electronic)",
  ISSN-L =       "0883-7252",
  bibdate =      "Sat Mar 9 10:19:39 MST 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jappleconometrics.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Applied Econometrics",
  journal-URL =  "https://onlinelibrary.wiley.com/journal/10991255;
                 https://www.jstor.org/journal/japplecon",
  onlinedate =   "September/December 1990",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Davidon:1991:VMM,
  author =       "William C. Davidon",
  title =        "Variable metric method for minimization",
  journal =      j-SIAM-J-OPT,
  volume =       "1",
  number =       "1",
  pages =        "1--17",
  month =        feb,
  year =         "1991",
  CODEN =        "SJOPE8",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C30 (49M15 65K05)",
  MRnumber =     "MR1094786 (91k:90160)",
  bibdate =      "Tue Sep 30 16:05:25 MDT 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjopt.bib;
                 MathSciNet database",
  note =         "Reprint of \cite{Davidon:1959:VMM}",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Opt.",
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Sleijpen:1994:OHB,
  author =       "G. L. G. Sleijpen and H. A. van der Vorst and D. R.
                 Fokkema",
  title =        "{$ {\rm BiCGstab}(l) $} and other hybrid {Bi-CG}
                 methods",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "7",
  number =       "1",
  pages =        "75--109",
  month =        jun,
  year =         "1994",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10",
  MRnumber =     "MR1283335 (95d:65030)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Math. Inst., Utrecht Univ., Netherlands",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "Bi-CGSTAB; BiCGstab(l) method; CGS; conjugate gradient
                 methods; convergence behaviour; convergence of
                 numerical methods; hybrid Bi-CG methods; matrix
                 algebra; numerical examples; polynomial methods",
  pubcountry =   "Switzerland",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Dai:1996:CPF,
  author =       "Y. H. Dai and Y. Yuan",
  title =        "Convergence properties of the {Fletcher--Reeves}
                 method",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "16",
  number =       "2",
  pages =        "155--164",
  month =        apr,
  year =         "1996",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65K05",
  MRnumber =     "97i:65099",
  MRreviewer =   "G. M. Ostrovsky",
  bibdate =      "Sat Dec 23 17:06:35 MST 2000",
  bibsource =    "http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 MathSciNet database",
  URL =          "http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_02/160155.sgm.abs.html",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Anglada:1998:HGB,
  author =       "Josep Maria Anglada and Josep Maria Bofill",
  title =        "How good is a
                 {Broyden--Fletcher--Goldfarb--Shanno-like} update
                 {Hessian} formula to locate transition structures?
                 {Specific} reformulation of
                 {Broyden--Fletcher--Goldfarb--Shanno} for optimizing
                 saddle points",
  journal =      j-J-COMPUT-CHEM,
  volume =       "19",
  number =       "3",
  pages =        "349--362",
  month =        feb,
  year =         "1998",
  CODEN =        "JCCHDD",
  DOI =          "https://doi.org/10.1002/(SICI)1096-987X(199802)19:3<349::AID-JCC8>3.0.CO;2-T",
  ISSN =         "0192-8651 (print), 1096-987X (electronic)",
  ISSN-L =       "0192-8651",
  bibdate =      "Thu Nov 29 15:11:17 MST 2012",
  bibsource =    "http://www.interscience.wiley.com/jpages/0192-8651;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0192-8651",
  onlinedate =   "7 Dec 1998",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Powell:2000:CDA,
  author =       "M. J. D. Powell",
  title =        "On the convergence of the {DFP} algorithm for
                 unconstrained optimization when there are only two
                 variables",
  journal =      j-MATH-PROG,
  volume =       "87",
  number =       "2",
  pages =        "281--301",
  year =         "2000",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s101070050115",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "90C30 (65K05)",
  MRnumber =     "1763853",
  MRreviewer =   "K. Schittkowski",
  bibdate =      "Sat Nov 18 08:33:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  note =         "Studies in algorithmic optimization",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
  fjournal =     "Mathematical Programming. A Publication of the
                 Mathematical Programming Society",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@InProceedings{Abid:2003:NFM,
  author =       "S. Abid and F. Fnaiech",
  editor =       "Sven Lon{\c{c}}ari{\c{c}} and Alessandro Neri and
                 Hrvoje Babi{\v{c}}",
  booktitle =    "Proceedings of the 3rd International Symposium on
                 Image and Signal Processing and Analysis, 2003. {ISPA
                 2003}",
  title =        "A new fast multilayer perceptron training procedure
                 based on the {Davidon Fletcher Powell} algorithm",
  volume =       "1",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "123--127 Vol.1",
  year =         "2003",
  DOI =          "https://doi.org/10.1109/ISPA.2003.1296880",
  ISBN =         "953-184-061-X (vol. 1), 953-184-062-8 (vol. 2)",
  ISBN-13 =      "978-953-184-061-3 (vol. 1), 978-953-184-062-0 (vol.
                 2)",
  LCCN =         "TA1637.I55367 2003",
  bibdate =      "Sat Nov 18 12:12:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Gould:2004:PNP,
  author =       "Nick Gould and Sven Leyffer and Philippe Toint",
  title =        "Preface: {Nonlinear} programming: theory and practice
                 [{Special} issue on large scale nonconvex optimization
                 algorithms and applications in honor of {Roger
                 Fletcher}'s 65th birthday]",
  journal =      j-MATH-PROG,
  volume =       "100",
  number =       "1",
  pages =        "1--2",
  month =        may,
  year =         "2004",
  CODEN =        "MHPGA4",
  DOI =          "https://doi.org/10.1007/s10107-003-0483-6",
  ISSN =         "0025-5610 (print), 1436-4646 (electronic)",
  ISSN-L =       "0025-5610",
  MRclass =      "00B30 (90-06 90C20 90C30 90C55)",
  MRnumber =     "2069160",
  bibdate =      "Wed Aug 31 11:38:14 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming",
  journal-URL =  "http://link.springer.com/journal/10107",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  xxnumber =     "1, Ser. B",
}

@Misc{Davis:2005:MJD,
  author =       "Philip Davis",
  title =        "An interview with {Michael J. D. Powell}",
  howpublished = "SIAM Oral History interview.",
  pages =        "23",
  day =          "6",
  month =        apr,
  year =         "2005",
  bibdate =      "Tue Aug 12 09:05:11 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  URL =          "https://history.siam.org/oralhistories/powell.htm",
  abstract =     "Michael Powell discusses his career and research.
                 Powell was born in London and lived in Sussex and
                 Surrey. He had a governess in mathematics when he was
                 very young, and because he enjoyed looking at
                 mathematics books, often just doing the exercises, he
                 was ahead of his classes in mathematics. He became an
                 undergraduate at Cambridge, finishing in three years,
                 two years for part 2 of the Mathematical Tripos and
                 then taking a diploma in numerical analysis and
                 computing in his third year. He joined the Atomic
                 Energy Research Establishment at Harwell, and stayed
                 for seventeen years. At Harwell, he started the Harwell
                 Subroutine Library, one of the first libraries of
                 numerical algorithms, and began his research career. He
                 discusses the origin of the DFP
                 [Davidon--Fletcher--Powell] method and subsequent
                 methods that overtook it. After leaving Harwell, he
                 returned to Cambridge in 1976 as a Professor and
                 continued his research career. He received a Doctor of
                 Science degree in 1979 at Cambridge. He discusses his
                 subsequent work in optimization and approximation, the
                 differences between research at Harwell and Cambridge,
                 and his preferences in conducting research, including
                 his tendency to publish by himself. Powell retired from
                 Cambridge in 1996.",
  acknowledgement = ack-nhfb,
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
}

@InProceedings{Abid:2006:AMP,
  author =       "S. Abid and A. Mouelhi and F. Fnaiech",
  editor =       "{IEEE}",
  booktitle =    "{2006 International Joint Conference on Neural
                 Networks, Sheraton Vancouver Wall Centre Hotel,
                 Vancouver, BC, Canada, July 16--21, 2006}",
  title =        "Accelerating the Multilayer Perceptron Learning with
                 the {Davidon Fletcher Powell} Algorithm",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "3389--3394",
  year =         "2006",
  DOI =          "https://doi.org/10.1109/IJCNN.2006.247340",
  ISBN =         "0-7803-9490-9",
  ISBN-13 =      "978-0-7803-9490-2",
  LCCN =         "QA76.87",
  bibdate =      "Sat Nov 18 12:12:27 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Dai:2006:IRF,
  author =       "Yu-Hong Dai",
  title =        "An Interview with {Roger Fletcher}",
  journal =      "Pacific Journal of Optimization",
  volume =       "2",
  number =       "1",
  pages =        "3--10",
  year =         "2006",
  CODEN =        "????",
  ISSN =         "1348-9151 (print), 1349-8169 (electronic)",
  ISSN-L =       "1348-9151",
  bibdate =      "Mon Aug 11 08:39:08 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "http://www.ybook.co.jp/online-p/PJO/vol2/pjov2n1p3.pdf;
                 https://lsec.cc.ac.cn/~dyh/file/An_Interview_with_Roger_Fletcher.pdf",
  acknowledgement = ack-nhfb,
  ajournal =     "Pac. J. Optim.",
  journal-URL =  "http://yokohamapublishers.jp/pjo.html",
  remark =       "On page 6 (bottom), Fletcher reports: ``I have over
                 120 publications in my CV.''.",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Book{Nocedal:2006:NO,
  author =       "Jorge Nocedal and Stephen J. Wright",
  title =        "Numerical Optimization",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "xxii + 664",
  year =         "2006",
  DOI =          "https://doi.org/10.1007/978-0-387-40065-5",
  ISBN =         "0-387-30303-0 (hardcover), 0-387-40065-6",
  ISBN-13 =      "978-0-387-30303-1 (hardcover), 978-0-387-40065-5",
  ISSN =         "1431-8598",
  LCCN =         "QA402.5",
  bibdate =      "Tue Aug 12 08:30:45 MDT 2025",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Springer series in operations research and financial
                 engineering",
  abstract =     "\booktitle{Numerical Optimization} presents a
                 comprehensive and up-to-date description of the most
                 effective methods in continuous optimization. It
                 responds to the growing interest in optimization in
                 engineering, science, and business by focusing on the
                 methods that are best suited to practical problems. For
                 this new edition the book has been thoroughly updated
                 throughout. There are new chapters on nonlinear
                 interior methods and derivative-free methods for
                 optimization, both of which are used widely in practice
                 and the focus of much current research. Because of the
                 emphasis on practical methods, as well as the extensive
                 illustrations and exercises, the book is accessible to
                 a wide audience. It can be used as a graduate text in
                 engineering, operations research, mathematics, computer
                 science, and business. It also serves as a handbook for
                 researchers and practitioners in the field. The authors
                 have strived to produce a text that is pleasant to
                 read, informative, and rigorous --- one that reveals
                 both the beautiful nature of the discipline and its
                 practical side.",
  acknowledgement = ack-nhfb,
  subject =      "An{\'a}lisis matem{\'a}tico; applied mathematics;
                 automatisering; Business and Economics / Operations
                 Research; Calcul des variations; Calculus of Variations
                 and Optimal Control; Calculus of variations;
                 Computational Mathematics and Numerical Analysis;
                 Computer Automation; Computer science; Computer
                 sciencexMathematics; Decision making; Engineering
                 sciences; Game theory; informatica; Informatique;
                 kansrekening; Mathematical optimization; Mathematics /
                 Functional Analysis; Mathematics; Math{\'e}matiques;
                 Numerical analysis; Numerieke methoden; Numerisches
                 Verfahren Numerisches Verfahren; Operation
                 Research/Decision Theory; Operational research;
                 operationeel onderzoek; Operations Research/Decision
                 Theory; Operations research; Optimaliseren;
                 Optimierung; Optimisation math{\'e}matique;
                 Optimizaci{\'o}n matem{\'a}tica; Optimization;
                 Otimiza{\c{c}}{\"a}ao matem{\'a}tica; Prise de
                 d{\'e}cision; Recherche op{\'e}rationnelle; Science /
                 System Theory; speltheorie; systeembeheer;
                 systeemtheorie; System theory; Systems Theory, Control;
                 Systems theory; Technology; Th{\'e}orie des
                 syst{\`e}mes; wiskunde",
  tableofcontents = "1: Introduction \\
                 2: Fundamentals of unconstrained optimization \\
                 3: Line search methods \\
                 4: Trust-region methods \\
                 5: Conjugate gradient methods \\
                 6: Quasi-Newton methods \\
                 7: Large-scale unconstrained optimization \\
                 8: Calculating derivatives \\
                 9: Derivative-free optimization \\
                 10: Least-squares problems \\
                 11: Nonlinear equations \\
                 12: Theory of constrained optimization \\
                 13: Linear programming : the simplex method \\
                 14: Linear programming : interior-point methods \\
                 15: Fundamentals of algorithms for nonlinear
                 constrained optimization \\
                 16: Quadratic programming \\
                 17: Penalty and augmented Lagrangian methods \\
                 18: Sequential quadratic programming \\
                 19: Interior-point methods for nonlinear programming
                 \\
                 A: Background Material \\
                 B: A Regularization Procedure \\
                 References \\
                 Index",
}

@Article{Wang:2006:GCP,
  author =       "Chang-yu Wang and Shu-jun Lian",
  title =        "Global convergence properties of the two new dependent
                 {Fletcher--Reeves} conjugate gradient methods",
  journal =      j-APPL-MATH-COMP,
  volume =       "181",
  number =       "2",
  pages =        "920--931",
  day =          "15",
  month =        oct,
  year =         "2006",
  CODEN =        "AMHCBQ",
  DOI =          "https://doi.org/10.1016/j.amc.2006.01.078",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Sat Jul 12 09:02:58 MDT 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S009630030600172X",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003/",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Zhang:2006:GCM,
  author =       "Li Zhang and Weijun Zhou and Donghui Li",
  title =        "Global convergence of a modified {Fletcher--Reeves}
                 conjugate gradient method with {Armijo}-type line
                 search",
  journal =      j-NUM-MATH,
  volume =       "104",
  number =       "4",
  pages =        "561--572",
  month =        oct,
  year =         "2006",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s00211-006-0028-z",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Tue Jul 8 10:28:23 MDT 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Li:2011:MFR,
  author =       "Dong-Hui Li and Xiao-Lin Wang",
  title =        "A modified {Fletcher--Reeves}-Type deriva\-tive-free
                 method for symmetric nonlinear equations",
  journal =      j-NUMER-ALGEBRA-CONTROL-OPTIM,
  volume =       "1",
  number =       "1",
  pages =        "71--82",
  month =        "????",
  year =         "2011",
  CODEN =        "????",
  DOI =          "https://doi.org/10.3934/naco.2011.1.71",
  ISSN =         "2155-3289 (print), 2155-3297 (electronic)",
  ISSN-L =       "2155-3297",
  bibdate =      "Thu Jan 31 08:20:59 MST 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/naco.bib",
  URL =          "http://aimsciences.org/article/doi/10.3934/naco.2011.1.71",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Algebra Control Optim.",
  fjournal =     "Numerical Algebra, Control and Optimization",
  journal-URL =  "http://aimsciences.org/journal/2155-3289",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Li:2013:EFR,
  author =       "Can Li and Dong-Hui Li",
  title =        "An extension of the {Fletcher--Reeves} method to
                 linear equality constrained optimization problem",
  journal =      j-APPL-MATH-COMP,
  volume =       "219",
  number =       "23",
  pages =        "10909--10914",
  day =          "1",
  month =        aug,
  year =         "2013",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Mon Jul 15 11:22:51 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0096300313005134",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003/",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Babaie-Kafaki:2015:HPR,
  author =       "Saman Babaie-Kafaki and Reza Ghanbari",
  title =        "A hybridization of the {Polak--Ribi{\`e}re--Polyak}
                 and {Fletcher--Reeves} conjugate gradient methods",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "68",
  number =       "3",
  pages =        "481--495",
  month =        mar,
  year =         "2015",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-014-9856-6",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Thu May 28 14:59:56 MDT 2015",
  bibsource =    "http://link.springer.com/journal/11075/68/3;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://link.springer.com/article/10.1007/s11075-014-9856-6",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Curtis:2015:YRW,
  author =       "Frank E. Curtis",
  title =        "Young Researchers Would Be Wise to Read this
                 Interview!",
  journal =      "Optima",
  volume =       "99",
  number =       "??",
  pages =        "6--7",
  month =        dec,
  year =         "2015",
  bibdate =      "Mon Aug 11 09:03:56 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  note =         "See \cite{Leyffer:2015:SPI}.",
  URL =          "https://www.mathopt.org/Optima-Issues/optima99.pdf",
  acknowledgement = ack-nhfb,
  journal-URL =  "https://www.mathopt.org/Optima-Issues/",
  remark =       "See \cite{Leyffer:2015:SPI}",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Leyffer:2015:SPI,
  author =       "Sven Leyffer",
  title =        "It's to solve problems: an interview with {Roger
                 Fletcher}",
  journal =      "Optima",
  volume =       "99",
  number =       "??",
  pages =        "1--6",
  month =        dec,
  year =         "2015",
  bibdate =      "Mon Aug 11 09:03:56 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  note =         "See comments \cite{Leyffer:2015:SPI,Curtis:2015:YRW}",
  URL =          "https://www.mathopt.org/Optima-Issues/optima99.pdf",
  acknowledgement = ack-nhfb,
  journal-URL =  "https://www.mathopt.org/Optima-Issues/",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Toint:2015:IRI,
  author =       "Phillipe Toint",
  title =        "Impressions of {Roger}'s interview",
  journal =      "Optima",
  volume =       "99",
  number =       "??",
  pages =        "6--6",
  month =        dec,
  year =         "2015",
  bibdate =      "Mon Aug 11 09:03:56 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://www.mathopt.org/Optima-Issues/optima99.pdf",
  acknowledgement = ack-nhfb,
  journal-URL =  "https://www.mathopt.org/Optima-Issues/",
  remark =       "See \cite{Leyffer:2015:SPI,Curtis:2015:YRW}",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Griffiths:2016:RF,
  author =       "David F. Griffiths and Alistair Watson",
  title =        "{Roger Fletcher} (1939--2016)",
  journal =      "NA Digest",
  volume =       "16",
  number =       "27",
  day =          "18",
  month =        jul,
  year =         "2016",
  bibdate =      "Tue Aug 12 08:53:36 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  URL =          "https://www.netlib.org/na-digest-html/16/v16n27.html",
  acknowledgement = ack-nhfb,
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Leyffer:2016:ORF,
  author =       "Sven Leyffer",
  title =        "Obituary: {Roger Fletcher}",
  journal =      j-SIAM-NEWS,
  volume =       "29",
  pages =        "2--2",
  day =          "01",
  month =        dec,
  year =         "2016",
  ISSN =         "0036-1437",
  bibdate =      "Mon Aug 11 08:08:42 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "https://sinews.siam.org/",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Yao:2016:RFR,
  author =       "Teng-Teng Yao and Zheng-Jian Bai and Zhi Zhao and
                 Wai-Ki Ching",
  title =        "A {Riemannian} {Fletcher--Reeves} Conjugate Gradient
                 Method for Doubly Stochastic Inverse Eigenvalue
                 Problems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "37",
  number =       "1",
  pages =        "215--234",
  month =        "????",
  year =         "2016",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/15M1023051",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Tue May 31 10:42:19 MDT 2016",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/37/1;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "SIAM J. Matrix Anal. Appl.",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  onlinedate =   "January 2016",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Jiang:2019:IFR,
  author =       "Xianzhen Jiang and Jinbao Jian",
  title =        "Improved {Fletcher--Reeves} and {Dai--Yuan} conjugate
                 gradient methods with the strong {Wolfe} line search",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "348",
  number =       "??",
  pages =        "525--534",
  day =          "1",
  month =        mar,
  year =         "2019",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2018.09.012",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Mon Mar 18 11:19:58 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042718305570",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Yao:2019:RVF,
  author =       "Teng-Teng Yao and Zheng-Jian Bai and Zhi Zhao",
  title =        "A {Riemannian} variant of the {Fletcher--Reeves}
                 conjugate gradient method for stochastic inverse
                 eigenvalue problems with partial eigendata",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "26",
  number =       "2",
  pages =        "e2221:1--e2221:??",
  month =        mar,
  year =         "2019",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.2221",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Thu Mar 28 09:27:56 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Linear Algebra Appl.",
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "https://onlinelibrary.wiley.com/journal/10991506",
  onlinedate =   "25 October 2018",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Ullah:2021:DFS,
  author =       "Najib Ullah and Jamilu Sabi'u and Abdullah Shah",
  title =        "A derivative-free scaling memoryless
                 {Broyden--Fletcher--Goldfarb--Shanno} method for
                 solving a system of monotone nonlinear equations",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "28",
  number =       "5",
  pages =        "e2374:1--e2374:??",
  month =        oct,
  year =         "2021",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.2374",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Mon Feb 21 13:12:20 MST 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Linear Algebra Appl.",
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "https://onlinelibrary.wiley.com/journal/10991506",
  onlinedate =   "20 March 2021",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Book{Andrei:2022:MNN,
  author =       "Neculai Andrei",
  title =        "Modern Numerical Nonlinear Optimization",
  volume =       "195",
  publisher =    "Springer",
  address =      "Cham, Switzerland",
  pages =        "xxxiii + 807",
  year =         "2022",
  ISBN =         "3-031-08719-4 (print), 3-031-08720-8 (e-book)",
  ISBN-13 =      "978-3-031-08719-6 (print), 978-3-031-08720-2
                 (e-book)",
  LCCN =         "Z6654.M33 .A537 2022",
  bibdate =      "Mon Aug 11 15:21:13 2025",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Springer Optimization and Its Applications SerIES",
  acknowledgement = ack-nhfb,
  subject =      "Mathematical optimization; Algebras, Linear;
                 Optimisation math{\'e}matique; Alg{\`e}bre
                 lin{\'e}aire; Algebras, Linear; Mathematical
                 optimization; Optimitzaci{\'o} matem{\`a}tica;
                 {\`A}lgebra lineal",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  tableofcontents = "Introduction / 1 \\
                 1.1 Mathematical Modeling: Linguistic Models Versus
                 Mathematical Models / 2 \\
                 1.2 Mathematical Modeling and Computational Sciences /
                 4 \\
                 1.3 The Modern Modeling Scheme for Optimization / 5 \\
                 1.4 Classification of Optimization Problems / 8 \\
                 1.5 Optimization Algorithms / 12 \\
                 1.6 Collections of Applications for Numerical
                 Experiments / 12 \\
                 1.7 Comparison of Algorithms / 13 \\
                 1.8 The Structure of the Book / 14 \\
                 2 Fundamentals on Unconstrained Optimization. Stepsize
                 Computation / 21 \\
                 2.1 The Problem / 21 \\
                 2.2 Fundamentals on the Convergence of the Line-Search
                 Methods / 23 \\
                 2.3 The General Algorithm for Unconstrained
                 Optimization / 29 \\
                 2.4 Convergence of the Algorithm with Exact Line-Search
                 / 31 \\
                 2.5 Inexact Line-Search Methods / 37 \\
                 2.6 Convergence of the Algorithm with Inexact
                 Line-Search / 54 \\
                 2.7 Three Fortran Implementations of the Inexact
                 Line-Search / 68 \\
                 2.8 Numerical Studies: Stepsize Computation / 75 \\
                 3 Steepest Descent Methods / 81 \\
                 3.1 The Steepest Descent / 81 \\
                 3.2 The Relaxed Steepest Descent / 92 \\
                 3.3 The Accelerated Steepest Descent / 98 \\
                 3.4 Comments on the Acceleration Scheme / 106 \\
                 4 The Newton Method / 109 \\
                 4.1 The Newton Method for Solving Nonlinear Algebraic
                 Systems / 109 \\
                 4.2 The Gauss-Newton Method / 123 \\
                 4.3 The Newton Method for Function Minimization / 125
                 \\
                 4.4 The Newton Method with Line-Search / 129 \\
                 4.5 Analysis of Complexity / 133 \\
                 4.6 The Modified Newton Method / 140 \\
                 4.7 The Newton Method with Finite-Differences / 145 \\
                 4.8 Errors in Functions, Gradients, and Hessians / 154
                 \\
                 4.9 Negative Curvature Direction Methods / 157 \\
                 4.10 The Composite Newton Method / 163 \\
                 5 Conjugate Gradient Methods / 169 \\
                 5.1 The Concept of Nonlinear Conjugate Gradient / 169
                 \\
                 5.2 The Linear Conjugate Gradient Method / 172 \\
                 5.3 General Convergence Results for Nonlinear Conjugate
                 Gradient Methods / 188 \\
                 5.4 Standard Conjugate Gradient Methods / 201 \\
                 5.5 Hybrid Conjugate Gradient Methods / 218 \\
                 5.6 Conjugate Gradient Methods as Modifications of the
                 Standard Schemes / 231 \\
                 5.7 Conjugate Gradient Methods Memoryless BFGS
                 Preconditioned / 244 \\
                 5.8 Solving Large-Scale Applications / 257 \\
                 6 Quasi-Newton Methods / 261 \\
                 6.1 DFP and BFGS Methods / 261 \\
                 6.2 Modifications of the BFGS Method / 278 \\
                 6.3 Quasi-Newton Methods with Diagonal Updating of the
                 Hessian / 287 \\
                 6.4 Limited-Memory Quasi-Newton Methods / 290 \\
                 6.5 The SR1 Method / 299 \\
                 6.6 Sparse Quasi-Newton Updates / 309 \\
                 6.7 Quasi-Newton Methods and Separable Functions / 310
                 \\
                 6.8 Solving Large-Scale Applications / 312 \\
                 7 Inexact Newton Methods / 315 \\
                 7.1 The Inexact Newton Method for Nonlinear Algebraic
                 Systems / 316 \\
                 7.2 Inexact Newton Methods for Functions Minimization /
                 322 \\
                 7.3 The Line Search Newton-CG Method / 324 \\
                 7.4 Comparison of TN Versus Conjugate Gradient
                 Algorithms / 325 \\
                 7.5 Comparison of TN Versus L-BFGS / 327 \\
                 7.6 Solving Large-Scale Applications / 329 \\
                 8 The Trust-Region Method / 331 \\
                 8.1 The Trust-Region / 331 \\
                 8.2 Algorithms Based on the Cauchy Point / 337 \\
                 8.3 The Trust-Region Newton-CG Method / 340 \\
                 8.4 The Global Convergence / 341 \\
                 8.5 Iterative Solution of the Subproblem / 344 \\
                 8.6 The Scaled Trust-Region / 351 \\
                 9 Direct Methods for Unconstrained Optimization / 355
                 \\
                 9.1 The NELMED Algorithm / 355 \\
                 9.2 The NEWUOA Algorithm / 357 \\
                 9.3 The DEEPS Algorithm / 359 \\
                 9.4 Numerical Study: NELMED, NEWUOA, and DEEPS / 366
                 \\
                 10 Constrained Nonlinear Optimization Methods: An
                 Overview / 371 \\
                 10.1 Convergence Tests / 372 \\
                 10.2 Infeasible Points / 372 \\
                 10.3 Approximate Subproblem: Local Models and Their
                 Solving / 373 \\
                 10.4 Globalization Strategy: Convergence from Remote
                 Starting Points / 377 \\
                 10.5 The Refining the Local Model / 380 \\
                 11 Optimality Conditions for Nonlinear Optimization /
                 383 \\
                 11.1 General Concepts in Nonlinear Optimization / 384
                 \\
                 11.2 Optimality Conditions for Unconstrained
                 Optimization / 386 \\
                 11.3 Optimality Conditions for Problems with Inequality
                 Constraints / 389 \\
                 11.4 Optimality Conditions for Problems with Equality
                 Constraints / 393 \\
                 11.5 Optimality Conditions for General Nonlinear
                 Optimization Problems / 402 \\
                 11.6 Duality / 406 \\
                 12 Simple Bound Constrained Optimization / 411 \\
                 12.1 Necessary Conditions for Optimality / 412 \\
                 12.2 Sufficient Conditions for Optimality / 414 \\
                 12.3 Methods for Solving Simple Bound Optimization
                 Problems / 414 \\
                 12.4 The Spectral Projected Gradient Method (SPG) / 417
                 \\
                 12.5 L-BFGS with Simple Bounds (L-BFGS-B) / 421 \\
                 12.6 Truncated Newton with Simple Bounds (TNBC) / 428
                 \\
                 12.7 Applications / 430 \\
                 13 Quadratic Programming / 439 \\
                 13.1 Equality Constrained Quadratic Programming / 439
                 \\
                 13.2 Inequality Constrained Quadratic Programming / 449
                 \\
                 13.3 Interior Point Methods / 463 \\
                 13.4 Methods for Convex QP Problems with Equality
                 Constraints / 467 \\
                 13.5 Quadratic Programming with Simple Bounds: The
                 Gradient Projection Method / 468 \\
                 13.6 Elimination of Variables / 471 \\
                 14 Penalty and Augmented Lagrangian Methods / 475 \\
                 14.1 The Quadratic Penalty Method / 475 \\
                 14.2 The Nonsmooth Penalty Method / 479 \\
                 14.3 The Augmented Lagrangian Method / 482 \\
                 14.4 Criticism of the Penalty and Augmented Lagrangian
                 Methods / 486 \\
                 14.5 A Penalty-Barrier Algorithm (SPENBAR) / 488 \\
                 14.6 The Linearly Constrained Augmented Lagrangian
                 (MINOS) / 503 \\
                 15 Sequential Quadratic Programming / 521 \\
                 15.1 A Simple Approach to SQP / 526 \\
                 15.2 Reduced-Hessian Quasi-Newton Approximations / 531
                 \\
                 15.3 Merit Functions / 532 \\
                 15.4 Second-Order Correction (Maratos Effect) / 534 \\
                 15.5 The Line-Search SQP Algorithm / 537 \\
                 15.6 The Trust-Region SQP Algorithm / 538 \\
                 15.7 Sequential Linear-Quadratic Programming (SLQP) /
                 541 \\
                 15.8 A SQP Algorithm for Large-Scale-Constrained
                 Optimization (SNOPT) / 542 \\
                 15.9 A SQP Algorithm with Successive Error Restoration
                 (NLPQLP) / 553 \\
                 15.10 Active-Set Sequential Linear-Quadratic
                 Programming (KNITRO/ACTIVE) / 557 \\
                 16 Primal Methods: The Generalized Reduced Gradient
                 with Sequential Linearization / 569 \\
                 16.1 Feasible Direction Methods / 569 \\
                 16.2 Active Set Methods / 571 \\
                 16.3 The Gradient Projection Method / 573 \\
                 16.4 The Reduced Gradient Method / 576 \\
                 16.5 The Convex Simplex Method / 578 \\
                 16.6 The Generalized Reduced Gradient Method (GRG) /
                 579 \\
                 16.7 GRG with Sequential Linear or Sequential Quadratic
                 Programming (CONOPT) / 587 \\
                 17 Interior-Point Methods / 599 \\
                 17.1 Prototype of the Interior-Point Algorithm / 601
                 \\
                 17.2 Aspects of the Algorithmic Developments / 603 \\
                 17.3 Line-Search Interior-Point Algorithm / 610 \\
                 17.4 A Variant of the Line-Search Interior-Point
                 Algorithm / 611 \\
                 17.5 Trust-Region Interior-Point Algorithm / 627 \\
                 17.6 Interior-Point Sequential Linear-Quadratic
                 Programming (KNITRO/INTERIOR) / 631 \\
                 18 Filter Methods / 647 \\
                 18.1 Sequential Linear Programming Filter Algorithm /
                 649 \\
                 18.2 Sequential Quadratic Programming Filter Algorithm
                 / 653 \\
                 19 Interior-Point Filter Line-Search / 661 \\
                 19.1 Basic Algorithm IPOPT / 662 \\
                 19.2 Implementation Details / 669 \\
                 20 Direct Methods for Constrained Optimization / 679
                 \\
                 20.1 COBYLA Algorithm / 680 \\
                 20.2 DFL Algorithm / 684 \\
                 Appendix A: Mathematical Review / 691 \\
                 Appendix B: The SMUNO Collection / 721 \\
                 Appendix C: The LACOP Collection / 727 \\
                 Appendix D: The MINPACK-2 Collection / 757 \\
                 References / 767 \\
                 Author Index / 793 \\
                 Subject Index / 801",
}

@Article{Elboulqe:2025:ESF,
  author =       "Y. Elboulqe and M. {El Maghri}",
  title =        "An explicit spectral {Fletcher--Reeves} conjugate
                 gradient method for bi-criteria optimization",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "45",
  number =       "1",
  pages =        "223--242",
  month =        jan,
  year =         "2025",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/drae003",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Wed Feb 5 08:00:00 MST 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib",
  URL =          "http://academic.oup.com/imajna/article/45/1/223/7643964",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Article{Gould:2025:RFJ,
  author =       "N. I. M. Gould and J. A. J. Hall",
  title =        "{Roger Fletcher. 29 January 1939--15 July 2016}",
  journal =      j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
  volume =       "78",
  pages =        "127--146",
  month =        jun,
  year =         "2025",
  CODEN =        "BMFRA3",
  DOI =          "https://doi.org/10.1098/rsbm.2024.0037",
  ISSN =         "0080-4606 (print), 1748-8494 (electronic)",
  ISSN-L =       "0080-4606",
  bibdate =      "Fri Aug 1 08:11:04 MDT 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib;
                 https://www.math.utah.edu/pub/tex/bib/biograph-memoirs-fellows-roy-soc.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Biogr. Mem. Fell. R. Soc. Lond.",
  fjournal =     "Biographical Memoirs of Fellows of the Royal Society",
  journal-URL =  "https://royalsocietypublishing.org/journal/rsbm",
  published =    "14 May 2025",
  subject-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

%%% ====================================================================
%%% Cross-referenced entries must come last:
%%%
%%% Bibliography entries, sorted by year, and then by citation label:

@Proceedings{Fletcher:1969:OSI,
  editor =       "Roger Fletcher",
  booktitle =    "{Optimization. Symposium of the Institute of
                 mathematics and its applications, IMA, Keele,
                 Staffordshire 1968. Proceedings: Symposium on
                 optimization 1968}",
  title =        "{Optimization. Symposium of the Institute of
                 mathematics and its applications, IMA, Keele,
                 Staffordshire 1968. Proceedings: Symposium on
                 optimization 1968}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  bookpages =    "xviii + 354",
  pages =        "xviii + 354",
  year =         "1969",
  ISBN =         "0-12-260650-7",
  ISBN-13 =      "978-0-12-260650-2",
  LCCN =         "QA402.5 .K4 1968",
  bibdate =      "Wed Nov 22 16:25:42 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  acknowledgement = ack-nhfb,
  editor-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  xxbooktitle =  "{Keele Conference on Optimization and Non-Linear
                 Programming: 1968; Optimization: Symposium of the
                 Institute of Mathematics and Its Applications
                 University of Keele, England, 1968}",
}

@Proceedings{Rosen:1970:NPP,
  editor =       "J. B. (Judah Ben) Rosen and O. L. (Olvi L.)
                 Mangasarian and K. (Klaus) Ritter",
  booktitle =    "Nonlinear Programming (Proceedings of the Symposium,
                 {University of Wisconsin, Madison, Wisconsin}, 1970)",
  title =        "Nonlinear Programming (Proceedings of the Symposium,
                 {University of Wisconsin, Madison, Wisconsin}, 1970)",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  bookpages =    "xii + 490",
  pages =        "xii + 490",
  year =         "1970",
  ISBN =         "0-12-597050-1",
  ISBN-13 =      "978-0-12-597050-1",
  LCCN =         "QA3 .U45 no. 25",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
}

@Book{Walsh:1975:MO,
  author =       "G. R. Walsh",
  booktitle =    "Methods of Optimization",
  title =        "Methods of Optimization",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "x + 200",
  year =         "1975",
  ISBN =         "0-471-91922-5 (hardcover), 0-471-91924-1 (paperback)",
  ISBN-13 =      "978-0-471-91922-3 (hardcover), 978-0-471-91924-7
                 (paperback)",
  LCCN =         "QA402.5 .W341",
  bibdate =      "Wed Dec 15 10:59:00 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  acknowledgement = ack-nhfb,
  shorttableofcontents = "1: Introduction \\
                 2: Nonlinear programming \\
                 3: Search methods for unconstrainned optimization \\
                 4: Gradient methods for unconstrained optimization \\
                 5: Constrained optimization \\
                 6: Dynamic programming",
  tableofcontents = "1 Introduction / 1 \\
                 1.1 What is optimization? / 1 \\
                 1.2 Statement of the problem / 3 \\
                 1.3 Classical optimization / 6 \\
                 1.4 Classical treatment of inequality constraints / 16
                 \\
                 1.5 The Lagrangian function and duality / 20 \\
                 1.6 Convex and concave functions / 22 \\
                 Summary / 31 \\
                 Exercises / 31 \\
                 2 Nonlinear Programming / 35 \\
                 21 Introduction / 35 \\
                 2.2 Kuhn--Tucker necessary conditions / 35 \\
                 2.3 Saddle-point property of the Lagrangian function /
                 39 \\
                 2.4 The constraint qualification / 44 \\
                 2.5 Quadratic programming: Wolfe's algorithm / 51 \\
                 2.6 Further discussion of Wolfe's algorithm / 58 \\
                 2.7 Quadratic programming and duality / 60 \\
                 2.8 Griffith and Stewart's method / 64 \\
                 Summary / 70 \\
                 Exercises / 71 \\
                 3 Search Methods for Unconstrained Optimization / 74
                 \\
                 3.1 Introduction / 74 \\
                 3.2 Grid search / 75 \\
                 3.3 Hooke and Jeeves' method / 76 \\
                 3.4 Spendley, Hext and Himsworth's method / 79 \\
                 3.5 Nelder and Mead's method / 81 \\
                 3.6 Fibonacci search / 84 \\
                 3.7 Golden Section search / 91 \\
                 3.8 Powell's quadratic interpolation method / 93 \\
                 3.9 Davidon's cubic interpolation method / 97 \\
                 Summary / 102 \\
                 Exercises / 102 \\
                 4 Gradient Methods for Unconstrained Optimization / 105
                 \\
                 4.1 Introduction / 105 \\
                 4.2 Method of steepest descent / 106 \\
                 4.3 The Newton--Raphson method / 108 \\
                 4.4 The Davidon--Fletcher--Powell method / 110 \\
                 4.5 The complementary DFP formula / 117 \\
                 4.6 Conjugate directions / 120 \\
                 4.7 The Fletcher--Reeves method / 123 \\
                 4.8 Smith's method / 126 \\
                 4.9 Powell's method / 129 \\
                 4.10 Choice of method / 138 \\
                 Summary / 140 \\
                 Exercises / 140 \\
                 5 Constrained Optimization / 143 \\
                 5.1 Introduction / 143 \\
                 5.2 Hemstitching / 144 \\
                 5.3 The gradient projection method / 146 \\
                 5.4 Penalty functions / 148 \\
                 5.5 Sequential unconstrained minimization technique
                 (SUMT) / 150 \\
                 5.6 The DFP method with linear constraints / 155 \\
                 Summary / 160 \\
                 Exercises / 161 \\
                 6 Dynamic Programming / 164 \\
                 6.1 Introduction / 164 \\
                 6.2 The allocation problem / 165 \\
                 6.3 Oriented networks / 170 \\
                 6.4 Non-oriented networks / 173 \\
                 6.5 The farmer's problem / 177 \\
                 6.6 Scheduling problems / 181 \\
                 Summary / 184 \\
                 Exercises / 185 \\
                 References / 188 \\
                 Suggestions for Further Reading / 192 \\
                 Answers to Exercises / 193 \\
                 Index 197",
}

@Proceedings{Watson:1975:NAD,
  editor =       "George A. Watson",
  booktitle =    "Numerical Analysis: Proceedings of the Dundee
                 Conference on Numerical Analysis, July 1--4, 1975",
  title =        "Numerical Analysis: Proceedings of the Dundee
                 Conference on Numerical Analysis, July 1--4, 1975",
  volume =       "506",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 201",
  year =         "1975",
  ISBN =         "3-540-07610-7 (print), 3-540-38129-5 (e-book)",
  ISBN-13 =      "978-3-540-07610-0 (print), 978-3-540-38129-7
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA297; QA3 .L28 no. 506",
  bibdate =      "Sat Sep 24 01:06:05 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Lecture Notes in Mathematics",
  acknowledgement = ack-nhfb,
}

@Proceedings{Powell:1982:NOP,
  editor =       "M. J. D. Powell",
  booktitle =    "Nonlinear Optimization 1981: [proceedings of the {NATO
                 Advanced Research Institute held at Cambridge in July
                 1981 which was sponsored by the special programme panel
                 on systems science of the NATO science Committee and
                 the Mathematical Programming Society}]",
  title =        "Nonlinear Optimization 1981: [proceedings of the {NATO
                 Advanced Research Institute held at Cambridge in July
                 1981 which was sponsored by the special programme panel
                 on systems science of the NATO science Committee and
                 the Mathematical Programming Society}]",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  bookpages =    "xvii + 559",
  pages =        "xvii + 559",
  year =         "1982",
  ISBN =         "0-12-563860-4",
  ISBN-13 =      "978-0-12-563860-9",
  LCCN =         "QA402.5 .N66 1981",
  MRclass =      "90C30",
  MRnumber =     "775347",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  series =       "NATO Conf. Ser. II: Systems Sci.",
  acknowledgement = ack-nhfb,
  editor-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
  tableofcontents = "Participants / v \\
                 Preface / xi \\
                 \\
                 Part 1 Unconstrained Optimization \\
                 \\
                 1.1 Unconstrained Optimization in 1981 / Robert B.
                 Schnabel / 3 \\
                 1.2 Conjugate Gradient Methods / A. Buckley / 17 \\
                 1.3 Conjugate Directions for Conic Functions / William
                 C. Davidon / 23 \\
                 1.4 Trust Region Methods for Unconstrained Optimization
                 / D. C. Sorensen / / 29 \\
                 1.5 The Use of Ordinary Differential Equations in the
                 Solution of Nonlinear Systems of Equations / Francesco
                 Zirilli / 39 \\
                 1.6--1.43 Discussion on ``Unconstrained Optimization''
                 / / 47 \\
                 \\
                 Part 2 Nonlinear Fitting \\
                 \\
                 2.1 Algorithms for Nonlinear Fitting / J. E. Dennis Jr.
                 / 67 \\
                 2.2 Algorithms for Robust Regression / R. H. Byrd / 79
                 \\
                 2.3 Nondifferentiable Optimization / Claude
                 Lemar{\'e}chal / 85 \\
                 2.4 Algorithms for Nonlinear $\ell_1$ and $\ell_\infty$
                 Fitting / Michael L. Overton / 91 \\
                 2.5--2.49 Discussion on ``Nonlinear Fitting'' / / 103
                 \\
                 \\
                 Part 3 Linear Constraints \\
                 \\
                 3.1 Linearly Constrained Optimization / Philip E. Gill,
                 Walter Murray, Michael A. Saunders and Margaret H.
                 Wright / 123 \\
                 3.2 Numerically Stable Approaches to Linearly
                 Constrained Optimization / D. Goldfarb / 141 \\
                 3.3 Fixed-point Methods for Linear Constraints /
                 Michael J. Todd / 147 \\
                 3.4 Computational Testing of a Large Scale Linearly
                 Constrained Nonlinear Optimization Code / David F.
                 Shanno / 155 \\
                 3.5--3.61 Discussion on ``Linear Constraints'' / / 161
                 \\
                 \\
                 Part 4 Nonlinear Constraints \\
                 \\
                 4.1 Methods for Nonlinear Constraints / R. Fletcher /
                 185 \\
                 4,2 Recursive Quadratic Programming Methods for
                 Nonlinear Constraints / M. C. Bartholomew-Biggs / 213
                 \\
                 4.3 Augmented Lagrangian and Differentiable Exact
                 Penalty Methods / Dimitri P. Bertsekas / 223 \\
                 4.4 Penalty Function Methods / A. R. Conn / 235 \\
                 4.5 Reduced Gradient Methods / L. S. Lasdon / 243 \\
                 4.5--4.71 Discussion on ``Nonlinear Constraints'' / 251
                 \\
                 \\
                 Part 5 Large Nonlinear Problems \\
                 \\
                 5.1 Algorithms for Very Large Nonlinear Optimization
                 Problems / E. M. L. Beale / 281 \\
                 5.2 The Implications of Modelling Systems on Large
                 Scale Nonlinear Optimization Codes / Arne Drud / 293
                 \\
                 5.3 On the Unconstrained Optimization of Partially
                 Separable Functions / A. Griewank and Ph. L. Toint /
                 301 \\
                 5.4 Local Piecewise Linear Approximation Methods / R.
                 R. Meyer / 313 \\
                 5.5--5.48 Discussion on ``Large Nonlinear Problems'' /
                 319 \\
                 \\
                 Part 6 The Current State of Software \\
                 \\
                 6.1 Notes on Optimization Software / Jorge J. Mor{\'e}
                 / 339 \\
                 6.2 The Current State of Optimization Software: A
                 User's Point of View / Thomas E. Baker / 353 \\
                 6.3 Large Scale Nonlinear Optimization / R. S. Dembo /
                 361 \\
                 6.4 The Current State of Constrained Optimization
                 Software / Klaus Schittkowski / 373 \\
                 6.5 Software for Constrained Optimization / Philip E.
                 Gill, Walter Murray, Michael A. Saunders and Margaret
                 H. Wright / 381 \\
                 6.6--6.55 Discussion on ``The Current State of
                 Software'' / 395 \\
                 \\
                 Part 7 Future Software and Testing \\
                 \\
                 7.1 Performance Evaluation of Nonlinear Optimization
                 Methods via Multi-Criteria Decision Analysis and via
                 Linear Model Analysis / F. A. Lootsma / 419 \\
                 7.2 Testing MP Software: A History and Projection /
                 Richard H. F. Jackson / 455 \\
                 7.3 Parallel Computers and their Impact on Numerical
                 Algorithms and Related Software / J. S. Kowalik / 459
                 \\
                 7.4 A Proposal for the Establishment of an Optimization
                 Software Testing Center / K. M. Ragsdell / 465 \\
                 7.5--7.55 Discussion on ``Future Software and Testing''
                 / 469 \\
                 List of Research Seminars / 489 \\
                 References / 493 \\
                 Index / 541",
}

@Proceedings{Watson:1982:NAP,
  editor =       "G. Alistair Watson",
  booktitle =    "Numerical Analysis: Proceedings of the {9th Biennial
                 conference held at Dundee, Scotland, June 23--26,
                 1981}",
  title =        "Numerical Analysis: Proceedings of the {9th Biennial
                 conference held at Dundee, Scotland, June 23--26,
                 1981}",
  volume =       "912",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xiv + 248",
  pages =        "xiv + 248",
  year =         "1982",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0093144",
  ISBN =         "3-540-11199-9 (print), 3-540-39009-X (e-book)",
  ISBN-13 =      "978-3-540-11199-3 (print), 978-3-540-39009-1
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA297 D82 1981; QA3 .L28 no. 912",
  bibdate =      "Fri May 9 19:07:38 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  series =       ser-LNM,
  URL =          "https://link.springer.com/book/10.1007/BFb0093144",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Proceedings{Iserles:1987:SAN,
  editor =       "A. Iserles and M. J. D. Powell",
  booktitle =    "The State of the Art in Numerical Analysis:
                 Proceedings of the {Joint IMA\slash {SIAM} Conference
                 on the State of the Art in Numerical Analysis held at
                 the University of Birmingham, 14--18 April 1986}",
  title =        "The State of the Art in Numerical Analysis:
                 Proceedings of the {Joint IMA\slash {SIAM} Conference
                 on the State of the Art in Numerical Analysis held at
                 the University of Birmingham, 14--18 April 1986}",
  volume =       "9",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  bookpages =    "xiv + 719",
  pages =        "xiv + 719",
  year =         "1987",
  ISBN =         "0-19-853614-3",
  ISBN-13 =      "978-0-19-853614-7",
  LCCN =         "QA297 .J65 1986; QA297 .S781 1987",
  bibdate =      "Mon Sep 9 14:56:14 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  price =        "UK\pounds55.00, US\$77.50",
  series =       "The Institute of Mathematics and Its Applications
                 conference series; new series",
  URL =          "http://www.gbv.de/dms/hbz/toc/ht002967923.pdf;
                 http://zbmath.org/?q=an:0611.00024",
  ZMnumber =     "0611.00024",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  confdate =     "14--18 April 1986",
  conflocation = "Birmingham, UK",
  confsponsor =  "Inst. Math. Appl.; SIAM",
  editor-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
  pubcountry =   "UK",
  tableofcontents = "Contributors / / xiii \\
                 1. Eigenvalue problems / J. H. Wilkinson / 1 \\
                 2. Numerical linear algebra in statistical computing /
                 N. J. Higham and G. W. Stewart / 41 \\
                 3. Sparse matrices / J. K. Reid / 59 \\
                 4. Multivariate approximation / Carl de Boor / 87 \\
                 5. Data approximation by splines in one and two
                 independent variables / M. G. Cox / 111 \\
                 6. Methods for best approximation and regression
                 problems / G. A. Watson / 139 \\
                 7. Branch cuts for complex elementary functions / W.
                 Kahan / 165 \\
                 8. Recent developments in linear and quadratic
                 programming / R. Fletcher / 213 \\
                 9. Solving systems of nonlinear equations by tensor
                 methods / R. B. Schnabel and P. D. Frank / 245 \\
                 10. Numerical methods for bifurcation problems / A. D.
                 Jepson and A. Spence / 273 \\
                 11. On the iterative solution of differential and
                 integral equations using secant updating techniques /
                 A. Griewank / 299 \\
                 12. Methods for nonlinear constraints in optimization
                 calculations / M. J. D. Powell / 325 \\
                 13. The influence of vector and parallel processors on
                 numerical analysis / I. S. Duff / 359 \\
                 14. Developments in stability theory for ordinary
                 differential equations / J. D. Lambert / 409 \\
                 15. Stiff ODE initial value problems and their solution
                 / A. R. Curtis / 433 \\
                 16. Order stars and stability / G. Wanner / 451 \\
                 17. The state of the art in the numerical treatment of
                 integral equations / C. T. H. Baker / 473 \\
                 18. Strongly elliptic boundary integral equations / W.
                 L. Wendland / 511 \\
                 19. Collocation methods for one-dimensional Fredholm
                 and Volterra integral equations / H. Brunner / 563 \\
                 20. Numerical methods for free and moving boundary
                 problems / C. W. Cryer / 601 \\
                 21. Multigrid methods for elliptic equations / J. Walsh
                 / 623 \\
                 22. Galerkin finite element methods and their
                 generalizations / K. W. Morton / 645 \\
                 23. Recent developments in the numerical solution of
                 nonlinear conservation laws / S. Osher and P. K. Sweby
                 / 681 \\
                 Index / 701",
}

@Book{Allgower:1990:CSN,
  editor =       "E. L. Allgower and K. Georg",
  booktitle =    "Computational Solution of Nonlinear Systems of
                 Equations",
  title =        "Computational Solution of Nonlinear Systems of
                 Equations",
  volume =       "26",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xix + 762",
  year =         "1990",
  ISBN =         "0-8218-1131-2",
  ISBN-13 =      "978-0-8218-1131-3",
  LCCN =         "QA372 .C6374 1990",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  series =       "Lectures in Applied Mathematics",
  mynote =       "Proc. of 1988 SIAM-AMS summer seminar",
}

@Proceedings{Griffiths:1990:NAP,
  editor =       "David F. (David Francis) Griffiths and G. A. (G.
                 Alistair) Watson",
  booktitle =    "{Numerical analysis 1989: proceedings of the 13th
                 Dundee Conference}",
  title =        "{Numerical analysis 1989: proceedings of the 13th
                 Dundee Conference}",
  volume =       "228",
  publisher =    pub-LONGMAN-ST,
  address =      pub-LONGMAN-ST:adr,
  bookpages =    "283",
  pages =        "283",
  year =         "1990",
  ISBN =         "0-470-21586-0 (Wiley), 0-582-05923-2 (paperback)",
  ISBN-13 =      "978-0-470-21586-9 (Wiley), 978-0-582-05923-8
                 (paperback)",
  LCCN =         "QA297 .D85 1989",
  bibdate =      "Wed Nov 22 15:58:13 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  series =       "Pitman research notes in mathematics series",
  acknowledgement = ack-nhfb,
  meetingname =  "Dundee Conference on Numerical Analysis (13th: 1989)",
  subject =      "Numerical analysis; Analyse num{\'y}erique; Numerical
                 analysis.",
}

@Proceedings{Spedicato:1994:ACO,
  editor =       "Emilio Spedicato",
  booktitle =    "Algorithms for Continuous Optimization -- -the State
                 of the Art: proceedings of the {NATO Advanced Study
                 Institute on Algorithms for Continuous
                 Optimization--the State of the Art, Il Ciocco, Barga,
                 Italy, September 5--18, 1993}",
  title =        "Algorithms for Continuous Optimization -- -the State
                 of the Art: proceedings of the {NATO Advanced Study
                 Institute on Algorithms for Continuous
                 Optimization--the State of the Art, Il Ciocco, Barga,
                 Italy, September 5--18, 1993}",
  volume =       "434",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  bookpages =    "xv + 565",
  pages =        "xv + 565",
  year =         "1994",
  ISBN =         "0-7923-2859-0 (hardcover), 94-009-0369-3 (e-book)",
  ISBN-13 =      "978-0-7923-2859-9 (hardcover), 978-94-009-0369-2
                 (e-book)",
  LCCN =         "QA402.5 .N36 1993",
  MRclass =      "90C30 (90-02)",
  MRnumber =     "1314208",
  MRreviewer =   "K. Schittkowski",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci.",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  tableofcontents = "Preface \\
                 List of Contributors \\
                 List of Participants \\
                 General Optimality Conditions via a Separation Scheme /
                 1 \\
                 Linear Equations in Optimisation / 25 \\
                 Generalized and Sparse Least Squares Problems / 37 \\
                 Algorithms for Solving Nonlinear Systems of Equations /
                 81 \\
                 An Overview of Unconstrained Optimization / 109 \\
                 Nonquadratic Model Methods in Unconstrained
                 Optimization / 145 \\
                 Algorithms for General Constrained Nonlinear
                 Optimization / 169 \\
                 Exact Penalty Methods / 209 \\
                 Stable Barrier-Projection and Barrier-Newton Methods
                 for Linear and Nonlinear Programming / 255 \\
                 Large-scale Nonlinear Constrained Optimization: a
                 Current Survey / 287 \\
                 ABS Methods for Nonlinear Optimization / 333 \\
                 A Condensed Introduction to Bundle Methods in Nonsmooth
                 Optimization / 357 \\
                 Computational Methods for Linear Programming / 383 \\
                 Infeasible Interior Point Methods for Solving Linear
                 Programs / 415 \\
                 Algorithms for Linear Complementarity Problems / 435
                 \\
                 A Homework Exercise --- the ``Big M'' Problem / 475 \\
                 Deterministic Global Optimization / 481 \\
                 On Automatic Differentiation and Continuous
                 Optimization / 501 \\
                 Neural Networks and Unconstrained Optimization / 513
                 \\
                 Parallel Nonlinear Optimization: Limitations,
                 Challenges and Opportunities / 531 \\
                 Subject Index / 561",
}

@Book{Du:1995:HMF,
  editor =       "Ding-Zhu Du and Liqun Qi and Robert S. Womersley",
  booktitle =    "Recent Advances in Nonsmooth Optimization",
  title =        "Recent Advances in Nonsmooth Optimization",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  bookpages =    "viii + 472",
  pages =        "viii + 472",
  year =         "1995",
  ISBN =         "981-02-2265-3",
  ISBN-13 =      "978-981-02-2265-9",
  LCCN =         "QA402.5 .R424 1995",
  MRclass =      "90C30 (65F15)",
  MRnumber =     "1459991",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "Hybrid Methods for Finding the Nearest Euclidean
                 Distance Matrix / S. Al-Homidan and R. Fletcher \\
                 Subdifferential Characterization of Convexity / R.
                 Correa, A. Jofre and L. Thibault \\
                 A Simple Triangulation of $R^$ with Fewer Simplices for
                 Solving Nonsmooth Convex Programming / C.-Y. Dang \\
                 On Generalized Differentiability of Optimal Solutions
                 and its Application to an Algorithm for Solving Bilevel
                 Optimization Problems / S. Dempe \\
                 Projected Gradient Methods for Nonlinear
                 Complementarity Problems via Normal Maps / M.. Ferris
                 and D. Ralph \\
                 An NCP-Function and its Use for the Solution of
                 Complementarity Problems / A. Fischer \\
                 An Elementary Rate of Convergence Proof for the Deep
                 Cut Ellipsoid Algorithm / J. B. G. Frenk and J.
                 Gromicho \\
                 Solving Nonsmooth Equations by Means of Quasi-Newton
                 Methods with Globalization / M. A. C. Ruggiero, J. M.
                 Martinez and S. A. Santos",
}

@Proceedings{Biegler:1997:LSO,
  editor =       "Lorenz T. Biegler and Thomas F. Coleman and Andrew R.
                 Conn and Fadil N. Santosa",
  booktitle =    "Large-scale Optimization with Applications, {Part II:
                 Optimal Design and Control} ({Minneapolis, MN, July
                 10--28, 1995})",
  title =        "Large-scale Optimization with Applications, {Part II:
                 Optimal Design and Control} ({Minneapolis, MN, July
                 10--28, 1995})",
  volume =       "93",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xv + 324",
  pages =        "xv + 324",
  year =         "1997",
  DOI =          "https://doi.org/10.1007/978-1-4612-1960-6",
  ISBN =         "0-387-98287-6 (hardcover)",
  ISBN-13 =      "978-0-387-98287-8 (hardcover)",
  LCCN =         "QA402.5 .L356 1997",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "IMA Volumes in Mathematics and its Applications",
  acknowledgement = ack-nhfb,
  remark =       "Three volumes: Part 1. Optimization in inverse
                 problems and design [volume 92]; Part 2. Optimal design
                 and control [volume 93]; Part 3. Molecular structure
                 and optimization [volume 94]",
  tableofcontents = "Part I: Optimization in inverse problems and design
                 \\
                 Space mapping optimization for engineering design /
                 John W. Bandler, Radek M. Biernacki, Shaohua Chen,
                 Ronald H. Hemmers, and Kaj Madsen \\
                 An inverse problem in plasma physics: the
                 identification of the current density profile in a
                 Tokamak / J. Blum and H. Buvat \\
                 Duality for inverse problems in wave propagation / Mark
                 S. Gockenbach and William W. Symes \\
                 Piecewise differentiable minimization for ill-posed
                 inverse problems / Yuying Li \\
                 The use of optimization in the reconstruction of
                 obstacles from acoustic or electromagnetic scattering
                 data / Pierluigi Maponi, Maria Cristina Recchioni, and
                 Francesco Zirilli \\
                 Design of 3D-reflectors for near field and far field
                 problems / Andreas Neubauer \\
                 Optimal die shape and ram velocity design for metal
                 forging / Linda D. Smith, Jordan M. Berg, and James C.
                 Malas III \\
                 Eigenvalues in optimum structural design / Ulf
                 Torbj{\"o}rn Ringertz \\
                 Optimization issues in ocean acoustics / A. Tolstoy \\
                 Gradient methods in inverse acoustic and
                 electromagnetic scattering / P. M. Van Den Berg and R.
                 E. Kleinman \\
                 Atmospheric data assimilation based on the reduced
                 Hessian successive quadratic programming algorithm / Y.
                 F. Xie \\
                 Part II: Optimal design and control \\
                 The development of the SQP algorithm for nonlinear
                 programming / R. W.H. Sargent \\
                 Some aspects of sequential quadratic programming
                 methods / Walter Murray \\
                 Computing sparse Hessian and Jacobian approximations
                 with optimal hereditary properties / Roger Fletcher,
                 Andreas Grothey, and Sven Leyffer \\
                 Experience with a sparse nonlinear programming
                 algorithm / J. T. Betts \\
                 Mixed-integer nonlinear programming: A survey of
                 algorithms and applications / Ignacio E. Grossmann and
                 Zdravko Kravanja \\
                 A multiplier-free, reduced Hessian method for process
                 optimization / Lorenz T. Biegler, Claudia Schmid, and
                 David Ternet \\
                 Deterministic global optimization in design, control,
                 and computational chemistry / Christodoulos A. Floudas
                 \\
                 Optimization problems in model predictive control /
                 Pierre O. M. Scokaert and James B. Rawlings \\
                 Some recent developments in computational optimal
                 control / Hans Seywald and Renjith R. Kumar \\
                 Large-scale structural design optimization / Ulf
                 Torbj{\"o}rn Ringertz \\
                 Large-scale SQP methods for optimization of Navier
                 Stokes flows / Omar Ghattas and Jai-Hyeong Bark \\
                 Numerical optimal control of parabolic PDEs using
                 DASOPT / Linda Petzold, J. Ben Rosen, Philip E. Gill,
                 Laurent O. Jay, and Kihong Park \\
                 The promise (and reality) of multidisciplinary design
                 optimization / Susan L. Burgee and Layne T. Watson \\
                 \\
                 Part III: Molecular structure and optimization \\
                 CGU: an algorithm for molecular structure prediction /
                 K. A. Dill, A. T. Phillips, and J. B. Rosen \\
                 Potential transformation method for global optimization
                 / Robert A. Donnelly \\
                 Multispace search for protein folding / Jun Gu, Bin Du,
                 and Panos Pardalos \\
                 Modeling the structure of ice as a problem in global
                 minimization / Jan Hermans \\
                 Novel applications of optimization to molecule design /
                 J. C. Meza, T. D. Plantenga, and R. S. Judson \\
                 Issues in large-scale global molecular optimization /
                 Jorge J. More and Zhijun Wu \\
                 Global minimization of Lennard-Jones functions on
                 transputer networks / Klaus Ritter, Stephen M.
                 Robinson, and Stefan Sch{\"a}ffler \\
                 Variable-scale coarse-graining in macromolecular global
                 optimization / David Shalloway \\
                 Global optimization for molecular clusters using a new
                 smoothing approach / C.-S. Shao, R. H. Byrd, E. Eskow,
                 and R. B. Schnabel",
  xxISBN =       "0-387-98286-8 (vol. 1), 0-387-98287-6 (vol. 2),
                 0-387-98288-4 (vol. 3)",
}

@Proceedings{Buhmann:1997:ATO,
  editor =       "Martin D. Buhmann and A. Iserles",
  booktitle =    "Approximation Theory and Optimization: Tributes to {M.
                 J. D. Powell}",
  title =        "Approximation Theory and Optimization: Tributes to {M.
                 J. D. Powell}",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  bookpages =    "xiii + 220",
  pages =        "xiii + 220",
  year =         "1997",
  ISBN =         "0-521-58190-7",
  ISBN-13 =      "978-0-521-58190-5",
  LCCN =         "QA221 .A655 1997",
  MRclass =      "01A70 (65-03)",
  MRnumber =     "1601754",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib",
  URL =          "https://www.cambridge.org/us/universitypress/subjects/mathematics/numerical-analysis/approximation-theory-and-optimization-tributes-m-j-d-powell#contents",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015); Roger Fletcher (29 January 1939--15 July 2016)",
  remark =       "tableofcontents data extracted from publisher PDF.",
  tableofcontents = "Preface / viii \\
                 Submitted Talks / ix \\
                 M. D. Buhmann \& R. Fletcher: M. J. D. Powell's
                 contributions to numerical mathematics / 1 \\
                 M. D. Buhmann \& R. Fletcher: A brief review of M. J.
                 D. Powell's work in univariate and multivariate
                 approximation theory / 1 \\
                 M. D. Buhmann \& R. Fletcher: The contributions of Mike
                 Powell to optimization / 13 \\
                 M. D. Buhmann \& R. Fletcher: M. J. D. Powell's
                 publications / 19 \\
                 I. Barrodale \& C. Zala: MJDP-BCS industrial liaison:
                 Applications to defence science / 31 \\
                 C. de Boor: On the Meir/Sharma/Hall/Meyer analysis of
                 the spline interpolation error / 47 \\
                 M. D. Buhmann, C. A. Micchelli \& A. Ron:
                 Asymptotically optimal approximation and numerical
                 solutions of differential equations / 59 \\
                 A. R. Conn, K. Scheinberg \& Ph. L. Toint: On the
                 convergence of derivative-free methods for
                 unconstrained optimization / 83 \\
                 I. C. Demetriou \& M. J. D. Powell: Least squares
                 fitting to univariate data subject to restrictions on
                 the signs of the second differences / 109 \\
                 N. Dyn, F. J. Narcowich \& J. D. Ward: A framework for
                 interpolation and approximation on Riemannian manifolds
                 / 133 \\
                 R. Fletcher: Dense factors of sparse matrices / 145 \\
                 W. Gropp \& J. J. Mor{\'e}: Optimization environments
                 and the NEOS Server / 167 \\
                 B. N. Parlett: New versions of $q d$ for products of
                 bidiagonals / 183 \\
                 M. J. Todd: On adjusting parameters in homotopy methods
                 for linear programming / 201",
}

@Proceedings{Higham:1998:NAP,
  editor =       "D. J. (Desmond J.) Higham and G. A. Watson and D. F.
                 (David Francis) Griffiths",
  booktitle =    "{Numerical analysis 1997: Proceedings of the 17th
                 Dundee Biennial Conference, June 24--27, 1997}",
  title =        "{Numerical analysis 1997: proceedings of the 17th
                 Dundee Biennial Conference, June 24--27, 1997}",
  volume =       "380",
  publisher =    pub-LONGMAN-ST,
  address =      pub-LONGMAN-ST:adr,
  pages =        "254",
  year =         "1998",
  ISBN =         "0-582-31261-2 (paperback)",
  ISBN-13 =      "978-0-582-31261-6 (paperback)",
  ISSN =         "0269-3674",
  LCCN =         "QA297 .D85 1997",
  bibdate =      "Tue Jan 3 15:19:05 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Pitman Research Notes in Mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "Dundee Conference on Numerical Analysis (17th: 1997)",
  subject =      "Numerical analysis; Congresses",
}

@Proceedings{DiPillo:2003:HPA,
  editor =       "Gianni {Di Pillo} and Almerico Murli",
  booktitle =    "High Performance Algorithms and Software for Nonlinear
                 Optimization ({G. Stampacchia School of Mathematics of
                 the E. Majorana Centre for Scientific Culture, June
                 30--July 8, 2001, Erice, Sicily})",
  title =        "High Performance Algorithms and Software for Nonlinear
                 Optimization ({G. Stampacchia School of Mathematics of
                 the E. Majorana Centre for Scientific Culture, June
                 30--July 8, 2001, Erice, Sicily})",
  volume =       "82",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  bookpages =    "ix + 416",
  pages =        "265--284",
  year =         "2003",
  DOI =          "https://doi.org/10.1007/978-1-4613-0241-4_12",
  ISBN =         "1-4020-7532-4",
  ISBN-13 =      "978-1-4020-7532-2",
  LCCN =         "QA76.88 .H487 2001",
  MRclass =      "90C29 (15A39 65K05)",
  MRnumber =     "2040367",
  MRreviewer =   "Marco Locatelli",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Appl. Optim.",
  acknowledgement = ack-nhfb,
  tableofcontents = "Preface / vii \\
                 1. Quasi-Newton algorithms for large-scale nonlinear
                 least-squares / 1 \\
                 2. The extended Ritz method in stochastic functional
                 optimization: An example of dynamic routing in traffic
                 networks / 23 \\
                 3. Efficient serial and parallel implementation of the
                 cutting angle method / 57 \\
                 4. A globalization strategy for interior point methods
                 for mixed complementarity problems / 75 \\
                 5. A comparative study of large-scale nonlinear
                 optimization algorithms / 95 \\
                 6. A software system for PDE-constrained optimization
                 problems / 129 \\
                 7. A truncated SQP algorithm for solving nonconvex
                 equality constrained optimization problems / 149 \\
                 8. Newton-type methods for the approximate solution of
                 nonlinear programming problems in real-time / 177 \\
                 9. Fruitful uses of smooth exact merit functions in
                 constrained optimization / 201 \\
                 10. New perspective on the theorems of alternative /
                 227 \\
                 11. Planar-CG methods and matrix tridiagonalization in
                 large scale unconstrained optimization / 243 \\
                 12. Filter-type algorithms for solving systems of
                 algebraic equations and inequalities / 265 \\
                 13. A new algorithm for solving large scale molecular
                 distance geometry problems / 285 \\
                 14. PENNON: A generalized augmented Lagrangian method
                 for semidefinite programming / 303 \\
                 15. Understanding asynchronous parallel pattern search
                 / 323 \\
                 16. Smoothing techniques for the solution of finite and
                 semi-infinite min-max-min problems / 343 \\
                 17. Exploiting optimality conditions in accurate static
                 circuit tuning / 363 \\
                 18. Efficient analysis on a truncated Newton method
                 with preconditioned conjugate gradient technique for
                 optimization / 383",
}

@Proceedings{Qi:2005:OCA,
  editor =       "Liqun Qi and Koklay Teo and Xiaoqi Yang",
  booktitle =    "Optimization and Control with Applications:
                 [international workshop, {Erice, Sicily, Italy},
                 09-17.07.2001]",
  title =        "Optimization and Control with Applications:
                 [international workshop, {Erice, Sicily, Italy},
                 09-17.07.2001]",
  volume =       "96",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xlvi + 561",
  pages =        "xlvi + 561",
  year =         "2005",
  DOI =          "https://doi.org/10.1007/b104943",
  ISBN =         "0-387-24254-6",
  ISBN-13 =      "978-0-387-24254-5",
  LCCN =         "QA402.5 .O6423 2005",
  MRclass =      "90C30 (90C06)",
  MRnumber =     "2144378",
  MRreviewer =   "V. F. Dem{\cprime}yanov",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "Applied Optimization",
  acknowledgement = ack-nhfb,
  remark =       "34th Workshop of the International School of
                 Mathematics `G. Stampacchia,' the International
                 Workshop on Optimization and Control with
                 Applications",
  tableofcontents = "Front Matter / i--xlvi \\
                 Preface / xiii--xiv \\
                 Biographical Sketch of Elijah Polak / xv--xvi \\
                 Publications of Elijah Polak / xvii--?? \\
                 Part I: Duality and Optimality Conditions \\
                 1: On Minimization of Max-Min Functions / A. M.
                 Bagirov, A. M. Rubinov / 3--33 \\
                 2: A Comparison of Two Approaches to Second-Order
                 Subdifferentiability Concepts with Application to
                 Optimality Conditions / A. Eberhard, C. E. M. Pearce /
                 35--100 \\
                 3: Duality and Exact Penalization via a Generalized
                 Augmented Lagrangian Function / X. X. Huang, X. Q. Yang
                 / 101--114 \\
                 4: Duality for Semi-Definite and Semi-Infinite
                 Programming with Equality Constraints / S. J. Li, X. Q.
                 Yang, K. L. Teo / 115--125 \\
                 5: The Use of Nonsmooth Analysis and of Duality Methods
                 for the Study of Hamilton-Jacobi Equations / Jean-Paul
                 Penot / 127--140 \\
                 6: Some Classes of Abstract Convex Functions / A. M.
                 Rubinov, A. P. Shveidel / 141--154 \\
                 Part II: Optimization Algorithms \\
                 7: An Implementation of Training Dual-nu Support Vector
                 Machines / Hong-Gunn Chew, Cheng-Chew Lim, Robert E.
                 Bogner / 157--182 \\
                 8: An Analysis of the Barzilai and Borwein Gradient
                 Method for Unsymmetric Linear Equations / Yu-Hong Dai,
                 Li-Zhi Liao, Duan Li / 183--211 \\
                 9: An Exchange Algorithm for Minimizing Sum-Min
                 Functions / Alexei V. Demyanov / 213--233 \\
                 10: On the Barzilai-Borwein Method / Roger Fletcher /
                 235--256 \\
                 11: The Modified Subgradient Method for Equality
                 Constrained Nonconvex Optimization Problems / Rafail N.
                 Gasimov, Nergiz A. Ismayilova / 257--270 \\
                 13: Inexact Restoration Methods for Nonlinear
                 Programming: Advances and Perspectives / Jos{\'e} Mario
                 Martinez, Elvio A. Pilotta / 271--291 \\
                 13: Quantum Algorithm for Continuous Global
                 Optimization / V. Protopopescu, J. Barhen / 293--303
                 \\
                 14: SQP versus SCP Methods for Nonlinear Programming /
                 Klaus Schittkowski, Christian Zillober / 305--330 \\
                 15: An Approximation Approach for Linear Programming in
                 Measure Space / C. F. Wen, S. Y. Wu / 331--350 \\
                 Part III: Optimal Control \\
                 16: Optimal Control of Nonlinear Systems / S. P. Banks,
                 T. Cimen / 353--367 \\
                 17: Proximal-Like Methods for Convex Minimization
                 Problems / Christian Kanzow / 369--392 \\
                 18: Analysis of Two Dimensional Nonconvex Variational
                 Problems / Ren{\'e} Meziat / 393--405 \\
                 19: Stability of Equilibrium Points of Projected
                 Dynamical Systems / Mauro Passacantando / 407--421 \\
                 20: On a Quasi-Consistent Approximations Approach to
                 Optimization Problems with Two Numerical Precision
                 Parameters / Olivier Pironneau, Elijah Polak / 423--445
                 \\
                 21: Numerical Solutions of Optimal Switching Control
                 Problems / T. Ruby, V. Rehbock / 447--459 \\
                 22: A Solution to Hamilton-Jacobi Equation by Neural
                 Networks and Optimal State Feedback Control / Kiyotaka
                 Shimizu / 461--480 \\
                 23: $H_\infty$ Control Based on State Observer for
                 Descriptor Systems / Wei Xing, Q. L. Zhang, W. Q. Liu,
                 Qiyi Wang / 481--493 \\
                 Part IV: Variational Inequality and Equilibrium
                 Problems \\
                 24: Decomposable Generalized Vector Variational
                 Inequalities / E. Allevi, A. Gnudi, I. V. Konnov /
                 497--507 \\
                 25: On a Geometric Lemma and Set-Valued Vector
                 Equilibrium Problem / Shui-Hung Hou / 509--517 \\
                 26: Equilibrium Problems / Giovanna Idone, Antonino
                 Maugeri / 519--527 \\
                 27: Gap Functions and Descent Methods for Minty
                 Variational Inequality / Giandomenico Mastroeni /
                 529--547 \\
                 28: A New Class of Proximal Algorithms for the
                 Nonlinear Complementarity Problem / G. J. P. Da Silva,
                 P. R. Oliveira / 549--558 \\
                 References / 559--561",
}

@Proceedings{Ceragioli:2006:SMO,
  editor =       "Francesca Ceragioli and A. Dontchev and H. Futura and
                 K. Marti and L. Pandolfi",
  booktitle =    "System Modeling and Optimization: Proceedings of the
                 {22nd IFIP TC7 Conference held from, July 18--22, 2005,
                 Turin, Italy}",
  title =        "System Modeling and Optimization: Proceedings of the
                 {22nd IFIP TC7 Conference held from, July 18--22, 2005,
                 Turin, Italy}",
  volume =       "199",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  year =         "2006",
  DOI =          "https://doi.org/10.1007/0-387-33006-2",
  ISBN =         "0-387-32774-6, 0-387-32774-6",
  ISBN-13 =      "978-0-387-32774-6, 978-0-387-32774-7",
  LCCN =         "QA402.3 .I4536 2005",
  bibdate =      "Sat Aug 9 16:18:15 2025",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib",
  series =       "IFIP Int. Fed. Inf. Process.",
  acknowledgement = ack-nhfb,
  tableofcontents = "Legacy of Camillo Possio / R. Voss \\
                 Possio integral equation / A. V. Balakrishnan \\
                 Beyond Possio equation / G. Avanzini and A. De Santis
                 \\
                 Dimitrie Pompeiu / T. Birsan and D. Tiba \\
                 PDE model for sandpile growth / P. Cannarsa \\
                 Warm starts for interior methods / A. Forsgren \\
                 Bound constrained optimization / W. W. Hager and H.
                 Zhang \\
                 P-factor-approach / O. A. Brezhneva and A. A.
                 Tret'yakov \\
                 Non monotone: upper bounds / U. M. Garcia-Palomares \\
                 Nonlinearly constrained networks / E. Mijangos \\
                 Conjugate gradient algorithm / R. Pytlak and T.
                 Tarnawski \\
                 Maintenance of civil infrastructures / D. M. Frangopol
                 and M. Liu \\
                 Bridge maintenance / H. Furuta and T. Kameda \\
                 Discrete nonlinear problems / S. Kitayama, M. Arakawa
                 and K. Yamazaki \\
                 Cooling pipe systems / T. Matsumori, K. Yamazaki and Y.
                 Matsui \\
                 Design of cooling pipes / K. Yamazaki and X. Ding \\
                 Implementation of optimization / M. Yoshimura \\
                 Numerical SLP / J. Mayer \\
                 Parabolic type factor model / S. I. Aihara and A.
                 Bagchi \\
                 Optimal energy portfolios / R. Hochreiter, G. Ch. Pflug
                 and D. Wozabal \\
                 SSD consistent criteria / W. Ogryczak and M.
                 Opolska-Rutkowska \\
                 Production-pricing control / E. L. Ormeci, J. P. Gayon,
                 I. Talay-Degirmenci and F. Karaesmen \\
                 BICGSTAB for biological systems / E. Venturino, P. R.
                 Graves-Morris and A. De Rossi \\
                 Advection-diffusion processes / A. Quarteroni, G.
                 Rozza, L. Dede and A. Quaini \\
                 Low rank quasi-Newton updates / R. Fletcher \\
                 Computer networks / S. Minkevicius and G. Kulvietis",
}

@Proceedings{DiPillo:2010:NOL,
  editor =       "Gianni {Di Pillo} and Fabio Schoen",
  booktitle =    "Nonlinear Optimization: Lectures Given at the
                 {C.I.M.E. Summer School held in Cetraro, Italy, July
                 1--7, 2007}",
  title =        "Nonlinear Optimization: Lectures Given at the
                 {C.I.M.E. Summer School held in Cetraro, Italy, July
                 1--7, 2007}",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1989",
  publisher =    pub-SV # " and " # "Fondazione C.I.M.E.",
  address =      pub-SV:adr # " and " # "Florence, Italy",
  bookpages =    "xiv + 279",
  pages =        "165--214",
  year =         "2010",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/978-3-642-11339-0_3",
  ISBN =         "3-642-11338-9 (print), 3-642-11339-7 (e-book)",
  ISBN-13 =      "978-3-642-11338-3 (print), 978-3-642-11339-0
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 1989; QA402.5.C515 2010",
  MRclass =      "90C55 (90C20 90C30) 90-06 (90Cxx)",
  MRnumber =     "2664157; 2648977 (2011e:90119)",
  MRreviewer =   "Stefan M. Stefanov",
  bibdate =      "Tue May 20 14:16:37 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fletcher-roger.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm2010.bib",
  note =         "Papers from the CIME Summer School held in Cetraro,
                 July 1--7, 2007.",
  series =       ser-LNM,
  URL =          "http://link.springer.com/content/pdf/10.1007/978-3-642-11339-0_3.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Roger Fletcher (29 January 1939--15 July 2016)",
  book-DOI =     "https://doi.org/10.1007/978-3-642-11339-0",
  book-URL =     "http://www.springerlink.com/content/978-3-642-11339-0",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
  tableofcontents = "Global Optimization: A Quadratic Programming
                 Perspective / Immanuel M. Bomze / 1--53 \\
                 Nonsmooth Optimization / Vladimir F. Demyanov / 55--163
                 \\
                 The Sequential Quadratic Programming Method / Roger
                 Fletcher / 165--214 \\
                 Interior Point Methods for Nonlinear Optimization /
                 Imre P{\'o}lik, Tam{\'a}s Terlaky / 215--276 \\
                 Back Matter / 277--289",
}