Valid HTML 4.0! Valid CSS!
%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Henk A. van der Vorst",
%%%     version         = "2.46",
%%%     date            = "19 September 2023",
%%%     time            = "11:00:50 MDT",
%%%     filename        = "vandervorst-henk-a.bib",
%%%     address         = "Universiteit Utrecht
%%%                        Department of Mathematics
%%%                        NL-3508 TA  Utrecht
%%%                        The Netherlands",
%%%     telephone       = "+31 30 533732",
%%%     FAX             = "+31 30 518394",
%%%     checksum        = "55291 5572 23115 245179",
%%%     email           = "vorst at math.uu.nl (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "Iterative methods for linear systems",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications of
%%%                        Henk A. van der Vorst.  The companion LaTeX file
%%%                        vandervorst-henk-a.ltx can be used to typeset
%%%                        this bibliography.
%%%
%%%                        At version 2.46, the year coverage looked
%%%                        like this:
%%%
%%%                             1977 (   3)    1988 (   4)    1999 (   7)
%%%                             1978 (   0)    1989 (  10)    2000 (  16)
%%%                             1979 (   0)    1990 (   8)    2001 (  10)
%%%                             1980 (   0)    1991 (  11)    2002 (   9)
%%%                             1981 (   2)    1992 (   9)    2003 (   4)
%%%                             1982 (   5)    1993 (  21)    2004 (   6)
%%%                             1983 (   5)    1994 (  24)    2005 (   4)
%%%                             1984 (   0)    1995 (  10)    2006 (   1)
%%%                             1985 (   2)    1996 (  14)    2007 (   0)
%%%                             1986 (   5)    1997 (   8)    2008 (   2)
%%%                             1987 (  10)    1998 (   8)    2009 (   1)
%%%
%%%                             Article:         93
%%%                             Book:            21
%%%                             InCollection:    16
%%%                             InProceedings:   30
%%%                             Misc:             1
%%%                             PhdThesis:        1
%%%                             Proceedings:     30
%%%                             TechReport:      26
%%%                             Unpublished:      1
%%%
%%%                             Total entries:  219
%%%
%%%                        This file is available as part of the BibNet
%%%                        Project.  The master copy is available for
%%%                        public access on ftp.math.utah.edu in the
%%%                        directory tree /pub/bibnet/authors.  It is
%%%                        mirrored to netlib.bell-labs.com in the directory
%%%                        tree /netlib/bibnet/authors, from which it is
%%%                        available via anonymous ftp and the Netlib
%%%                        service.
%%%
%%%                        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{"\ifx \undefined \booktitle \def \booktitle#1{{{\em #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,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|https://www.math.utah.edu/~beebe/|"}

%%% ====================================================================
%%% Institutional abbreviations:
@String{inst-CERFACS            = "CERFACS"}
@String{inst-CERFACS:adr        = "Toulouse, France"}

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

@String{inst-UTK-CS             = "Department of Computer Science, University
                                  of Tennessee, Knoxville"}
@String{inst-UTK-CS:adr         = "Knoxville, TN 37996, USA"}

%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACTA-NUMERICA         = "Acta Numerica"}

@String{j-ADV-WATER-RESOURCES   = "Adv. Water Resources"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions
                                  of IMACS"}

@String{j-BIT                   = "BIT (Nordisk tidskrift for informationsbehandling)"}

@String{j-BIT-NUM-MATH          = "BIT Numerical Mathematics"}

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

@String{j-COMPUT-PHYS           = "Computers in Physics"}

@String{j-COMPUT-SCI-ENG        = "Computing in Science and Engineering"}

@String{j-COMPUTING             = "Computing"}

@String{j-CWI-QUARTERLY         = "CWI Quarterly"}

@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical Analysis"}

@String{j-FUT-GEN-COMP-SYS      = "Future Generation Computer Systems"}

@String{j-IEEE-TRANS-MAGNETICS  = "IEEE Trans. on Magnetics"}

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

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

@String{j-J-COMPUT-PHYS         = "Journal of Computational 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-NATUR-SCI-J-XIANGTAN-UNIV = "Natural Science Journal of Xiangtan
                                  University = Xiangtan Daxue Ziran Kexue
                                  Xuebao"}

@String{j-NIEUW-ARCHIEF-WISKUNDE-4 = "Nieuw Archief voor Wiskunde. Vierde Serie"}

@String{j-NIEUW-ARCHIEF-WISKUNDE-5 = "Nieuw Archief voor Wiskunde. Vijfde Serie"}

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

@String{j-NUM-LIN-ALG-APPL      = "Numerical linear algebra with applications"}

@String{j-NUM-MATH              = "Num. Math"}

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

@String{j-PARALLEL-COMPUTING    = "Parallel Computing"}

@String{j-SCI-PROG              = "Scientific Programming"}

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

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

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM J. Scient. Stat. Comput."}

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

@String{j-SUPERCOMPUTER         = "Supercomputer"}

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

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

@String{pub-CLARENDON           = "Clarendon Press"}
@String{pub-CLARENDON:adr       = "Oxford, UK"}

@String{pub-CWI                 = "Centrum voor Wiskunde en Informatica"}
@String{pub-CWI:adr             = "P. O. Box 4079, 1009 AB Amsterdam, The
                                  Netherlands"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-ELSEVIER-SCIENCE    = "Elsevier Science Publishers"}
@String{pub-ELSEVIER-SCIENCE:adr = "Amsterdam, The Netherlands"}

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

@String{pub-HARTUNG-GORRE       = "Hartung-Gorre Verlag"}
@String{pub-HARTUNG-GORRE:adr   = "Konstanz, Switzerland"}

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

@String{pub-KYUSHU-UNIV-PRESS   = "Kyushu University Press"}
@String{pub-KYUSHU-UNIV-PRESS:adr = "Fukuoka, Kyushu, Japan"}

@String{pub-NH                  = "North-Holland"}
@String{pub-NH:adr              = "Amsterdam, The Netherlands"}

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

@String{pub-REIDEL              = "D. Reidel"}
@String{pub-REIDEL:adr          = "Dordrecht, The Netherlands; Boston, MA, USA;
                                  Lancaster, UK; Tokyo, Japan"}

@String{pub-SIAM                = "SIAM"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg, Germany~/
                                  London, UK~/ etc."}

@String{pub-VIEWEG              = "Friedrich Vieweg und Sohn"}
@String{pub-VIEWEG:adr          = "Braunschweig, Germany"}

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

@String{pub-WORLD-SCI           = "World Scientific Publishing Co."}
@String{pub-WORLD-SCI:adr       = "Singapore; Philadelphia, PA, USA; River Edge,
                                  NJ, USA"}

%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNCS                = "Lecture Notes in Computer Science"}

@String{ser-LNCSE               = "Lecture Notes in Computational
                                   Science and Engineering"}

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

%%% ====================================================================
%%% Bibliography entries:
@Article{Meijerink:1977:ISM,
  author =       "J. A. Meijerink and H. A. van der Vorst",
  title =        "An Iterative Solution Method for Linear Systems of
                 Which the Coefficient Matrix is a Symmetric
                 {$M$}-Matrix",
  journal =      j-MATH-COMPUT,
  volume =       "31",
  number =       "137",
  pages =        "148--162",
  month =        jan,
  year =         "1977",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F10",
  MRnumber =     "MR0438681 (55 \#11589)",
  MRreviewer =   "L. Hageman",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 JSTOR database; MathSciNet database;
                 Parallel/mgnet.bib; Parallel/Multi.bib;
                 Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib;
                 Theory/Matrix.bib; Theory/o_ccd.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); B0290P (Differential
                 equations); C4140 (Linear algebra); C4170 (Differential
                 equations)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "coefficient; conjugate gradient; iterative methods;
                 iterative solution method; linear systems; matrix;
                 method; partial differential equations; regular
                 splittings; sparse; symmetric M matrices",
  kwds =         "nla, linear system, iter, M-matrix, symmetric matrix,
                 incomplete factorization",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{VanKats:1977:AML,
  author =       "J. M. {Van Kats} and H. A. van der Vorst",
  title =        "Automatic Monitoring of {Lanczos} Schemes for
                 Symmetric or Skew-Symmetric Generalized Eigenvalue
                 Problems",
  number =       "TR-7",
  institution =  "Academisch Computer Centrum Utrecht",
  year =         "1977",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@TechReport{VanKats:1977:NRP,
  author =       "J. M. {Van Kats} and H. A. van der Vorst",
  title =        "Numerical Results of the {Paige}-Style {Lanczos}
                 method for the Computation of Extreme Eigenvalues of
                 Large Sparse Matrices",
  number =       "TR-3",
  institution =  "Academisch Computer Centrum Utrecht",
  year =         "1977",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@Article{Meijerink:1981:GUI,
  author =       "J. A. Meijerink and H. A. van der Vorst",
  title =        "Guidelines for the Usage of Incomplete Decompositions
                 in Solving Sets of Linear Equations as They Occur in
                 Practical Problems",
  journal =      j-J-COMPUT-PHYS,
  volume =       "44",
  number =       "1",
  pages =        "134--155",
  month =        nov,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(81)90041-3",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "MR642124 (83a:65032)",
  bibdate =      "Sun Jan 1 15:59:09 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 MathSciNet database",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181900413",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{vanderVorst:1981:ISM,
  author =       "Henk A. van der Vorst",
  title =        "Iterative Solution Methods for Certain Sparse Linear
                 Systems with a Non-symmetric Matrix Arising from
                 {PDE}-Problems",
  journal =      j-J-COMPUT-PHYS,
  volume =       "44",
  number =       "1",
  pages =        "1--19",
  month =        nov,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(81)90034-6",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "MR642122 (83b:65032)",
  bibdate =      "Sun Jan 1 15:59:09 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib;
                 MathSciNet database",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181900346",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{vanderVorst:1982:GLS,
  author =       "H. A. van der Vorst",
  title =        "A generalized {Lanczos} scheme",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "160",
  pages =        "559--561",
  month =        oct,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "MR669648 (84h:65039)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 JSTOR database; MathSciNet database;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Acad. Computer Centrum, Utrecht, Netherlands",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "eigenvalue problems; eigenvalues and eigenfunctions;
                 generalized; Lanczos scheme; matrix algebra;
                 skew-symmetric matrices",
  kwds =         "nla, Lanczos algorithm",
  treatment =    "T Theoretical or Mathematical",
}

@PhdThesis{vanderVorst:1982:PID,
  author =       "H. A. van der Vorst",
  title =        "Preconditioning by Incomplete Decompositions",
  school =       "Utrecht University",
  year =         "1982",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@InProceedings{vanderVorst:1982:PTI,
  author =       "H. A. van der Vorst",
  title =        "A Preconditioned {Tchebycheff} Iterative Solution
                 Method for Certain Large Sparse Linear Systems with a
                 Non-Symmetric Matrix",
  crossref =     "Hinze:1982:NID",
  pages =        "323--333",
  year =         "1982",
  MRclass =      "65F10",
  MRnumber =     "MR699648 (84e:65034)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  xxtitle =      "A preconditioned {Tchebycheff} iterative solution
                 method for certain large sparse linear systems with a
                 nonsymmetric matrix",
}

@Article{vanderVorst:1982:VVS,
  author =       "Henk A. van der Vorst",
  title =        "A vectorizable variant of some {ICCG} methods",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "3",
  number =       "3",
  pages =        "350--356",
  month =        sep,
  year =         "1982",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F10",
  MRnumber =     "MR667832 (83i:65032)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "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 =   "Acad. Computer Centrum Utrecht, Utrecht, Netherlands",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  keywords =     "highly vectorizable; ICCG methods; large sparse linear
                 systems; linear algebra; preconditioned conjugate
                 gradient method; vector machine; vectorizable variant",
  treatment =    "T Theoretical or Mathematical",
}

@Unpublished{vanderVorst:1983:CPT,
  author =       "H. van der Vorst and J. van Kats",
  title =        "Comparative Performance Tests on the {CRAY-1} and
                 {Cyber 205}",
  month =        may,
  year =         "1983",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/ovr.bib",
  note =         "Preprint. Published in \cite{vanderVorst:1985:CPT}.",
}

@InCollection{vanderVorst:1983:SID,
  author =       "Henk A. van der Vorst",
  title =        "Stabilized incomplete {$ L U $}-decompositions as
                 preconditionings for the {Tchebycheff} iteration",
  crossref =     "Evans:1983:PMA",
  pages =        "243--263",
  year =         "1983",
  MRclass =      "65F35 (65F10)",
  MRnumber =     "MR709449 (85b:65036)",
  MRreviewer =   "G. Maess",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{vanderVorst:1983:SIL,
  author =       "H. A. van der Vorst",
  title =        "Stabilized Incomplete {LU}-Decompositions as
                 Preconditionings for the {Tchebycheff} Iteration",
  crossref =     "Evans:1983:PMA",
  pages =        "??--??",
  year =         "1983",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@InProceedings{vanderVorst:1983:VSS,
  author =       "H. van der Vorst",
  booktitle =    "{First International Conference on Vector and Parallel
                 Computation in Scientific Applications, Paris}",
  title =        "On the Vectorization of Some Simple {ICCG} Methods",
  publisher =    "????",
  address =      "????",
  pages =        "??--??",
  year =         "1983",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/ovr.bib",
  xxnote =       "Were the proceedings published? Extensive library
                 searches found no trace of this conference.",
}

@InProceedings{vanderVorst:1985:CPT,
  author =       "H. A. van der Vorst",
  title =        "Comparative Performance Tests on the {CRAY-1} and
                 {CYBER 205}",
  crossref =     "vanLeeuwen:1985:PCC",
  pages =        "33--54",
  year =         "1985",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@TechReport{Michielse:1986:DTW,
  author =       "P. Michielse and H. van der Vorst",
  title =        "Data Transport in {Wang's} Partition Method",
  number =       "86-32",
  institution =  "Delft University of Technology",
  address =      "Delft",
  year =         "1986",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/ovr.bib",
}

@Article{vanderSluis:1986:RCC,
  author =       "A. van der Sluis and H. A. van der Vorst",
  title =        "The Rate of Convergence of Conjugate Gradients",
  journal =      j-NUM-MATH,
  volume =       "48",
  number =       "5",
  pages =        "543--560",
  month =        may,
  year =         "1986",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01389450",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F10 (49D07)",
  MRnumber =     "MR839616 (87h:65061)",
  MRreviewer =   "Cs. J. Heged{\H{u}}s",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Math. Inst., Utrecht Univ., Netherlands",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "conjugate gradients; differential equations;
                 eigenvalues; eigenvalues and eigenfunctions; extreme
                 Ritz values; nla; rate of convergence",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{vanderVorst:1986:APS,
  author =       "H. van der Vorst",
  title =        "Analysis of a Parallel Solution Method for Tridiagonal
                 Systems",
  number =       "86-06",
  institution =  "Department of Mathematics and Information, Delft
                 University of Technology",
  address =      "Delft, The Netherlands",
  year =         "1986",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/ovr.bib",
}

@TechReport{vanderVorst:1986:MIP,
  author =       "H. van der Vorst",
  title =        "{(M)ICCG} for {$2$D} Problems on Vector Computers",
  number =       "86-55",
  institution =  "Department of Mathematics and Information, Delft
                 University of Technology",
  address =      "Delft, The Netherlands",
  year =         "1986",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/ovr.bib",
}

@Article{vanderVorst:1986:PFI,
  author =       "H. A. van der Vorst",
  title =        "The performance of {FORTRAN} implementations for
                 preconditioned conjugate gradients on vector
                 computers",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "3",
  number =       "1",
  pages =        "49--58",
  month =        mar,
  year =         "1986",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Mon Apr 14 11:08:33 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra); C5470 (Performance
                 evaluation and testing)",
  corpsource =   "Dept. of Math. and Inf., Delft Univ. of Technol.,
                 Netherlands",
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
  keywords =     "Cray X-MP; Cray-1; Cyber 205; FORTRAN implementations;
                 large; linear algebra; linear systems; lower CPU-time
                 bounds; parallel processing; performance evaluation;
                 preconditioned conjugate gradients; vector computers",
  treatment =    "T Theoretical or Mathematical; X Experimental",
}

@Article{vanderSluis:1987:CBR,
  author =       "A. {Van der Sluis} and H. A. van der Vorst",
  title =        "The convergence behavior of {Ritz} values in the
                 presence of close eigenvalues",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  pages =        "651--694",
  year =         "1987",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15",
  MRnumber =     "MR882466 (88f:65064)",
  MRreviewer =   "William W. Hager",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  xxtitle =      "The Convergence Behaviour of {Ritz} Values in the
                 Presence of Close Eigenvalues",
}

@InCollection{VanderSluis:1987:NSL,
  author =       "A. {Van der Sluis} and H. A. van der Vorst",
  title =        "Numerical solution of large sparse linear algebraic
                 systems arising from tomographic problems",
  crossref =     "Nolet:1987:STA",
  chapter =      "3",
  pages =        "49--83",
  year =         "1987",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@Article{vanderVorst:1987:APS,
  author =       "Henk A. van der Vorst",
  title =        "Analysis of a parallel solution method for tridiagonal
                 linear systems",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "5",
  number =       "3",
  pages =        "303--311",
  month =        nov,
  year =         "1987",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65W05 (65F05)",
  MRnumber =     "MR916010 (88k:65145)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra); C4240 (Programming and
                 algorithm theory)",
  corpsource =   "Dept. of Math. and Infor., Delft Univ. of Technol.,
                 Netherlands",
  fjournal =     "Parallel Computing. Theory and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
  keywords =     "algorithm; algorithms; computational complexity;
                 cyclic reduction; linear algebra; parallel; parallel
                 solution method; recursive doubling; tridiagonal linear
                 systems; tridiagonal matrix; two-sided Gaussian
                 elimination; vectorizability",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{vanderVorst:1987:IRM,
  author =       "H. van der Vorst",
  title =        "{ICCG} and Related Methods for {$3$D} Problems on
                 Vectorcomputers",
  number =       "A-18",
  institution =  "Data Processing Center, Kyoto University",
  address =      "Kyoto, Japan",
  year =         "1987",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/ovr.bib",
}

@Article{vanderVorst:1987:ISM,
  author =       "H. A. van der Vorst",
  title =        "An iterative solution method for solving {$ f(A) x = b
                 $}, using {Krylov} subspace information obtained for
                 the symmetric positive definite matrix {$A$}",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "18",
  number =       "2",
  pages =        "249--263",
  month =        may,
  year =         "1987",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(87)90020-3",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F10 (65F50)",
  MRnumber =     "MR896428 (88h:65081)",
  MRreviewer =   "David R. Kincaid",
  bibdate =      "Sat Feb 25 11:59:58 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042787900203",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{vanderVorst:1987:LTB,
  author =       "Henk A. van der Vorst",
  title =        "Large tridiagonal and block tridiagonal linear systems
                 on vector and parallel computers",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "5",
  number =       "1--2",
  pages =        "45--54",
  month =        jul,
  year =         "1987",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65W05 (65F05)",
  MRnumber =     "MR898034 (88d:65192)",
  bibdate =      "Mon Apr 14 12:07:40 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Proceedings of the international conference on vector
                 and parallel computing---issues in applied research and
                 development (Loen, 1986).",
  acknowledgement = ack-nhfb,
  classification = "B0290P (Differential equations); C4170 (Differential
                 equations); C5440 (Multiprocessor systems and
                 techniques)",
  conflocation = "Loen, Norway; 2--6 June 1986",
  conftitle =    "International Conference on Vector and Parallel
                 Computing --- Issues in Applied Research and
                 Development",
  corpsource =   "Dept. of Math. and Inf., Delft Univ. of Technol.,
                 Netherlands",
  fjournal =     "Parallel Computing. Theory and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
  keywords =     "block tridiagonal linear systems; computers; conjugate
                 gradients method; equations; large tridiagonal; linear
                 systems; numerical experiments; parallel; parallel
                 processing; partial differential; preconditionings;
                 vector computers",
  sponsororg =   "IBM Norway; R. Norwegian Council Sci. and Ind. Res.;
                 AMDAHL; FPS; CRAY",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InProceedings{vanderVorst:1987:MIP,
  author =       "H. A. van der Vorst",
  title =        "{(M)ICCG} for {$2$D} problems on vectorcomputers",
  crossref =     "Lichnewsky:1987:SSA",
  pages =        "??--??",
  year =         "1987",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  xxyear =       "1988",
}

@Article{Michielse:1988:DTW,
  author =       "Peter H. Michielse and Henk A. van der Vorst",
  title =        "Data transport in {Wang}'s partition method",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "7",
  number =       "1",
  pages =        "87--95",
  month =        apr,
  year =         "1988",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65W05 (65F05)",
  MRnumber =     "MR938039 (89b:65334)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra); C4240 (Programming and
                 algorithm theory)",
  corpsource =   "Fac. of Math. and Inf., Delft Univ. of Technol.,
                 Delft, Netherlands",
  fjournal =     "Parallel Computing. Theory and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
  keywords =     "algorithms; banded systems; bidiagonal linear systems;
                 computational complexity; data; linear algebra;
                 parallel; parallel computer with local memory;
                 transport; tridiagonal linear systems; Wang partition
                 method",
  treatment =    "T Theoretical or Mathematical",
}

@Article{vanderVorst:1988:CGT,
  author =       "Henk A. van der Vorst and Kees Dekker",
  title =        "Conjugate gradient type methods and preconditioning",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "24",
  number =       "1--2",
  pages =        "73--87",
  month =        nov,
  year =         "1988",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F50 (65N99)",
  MRnumber =     "MR976604 (90a:65108)",
  MRreviewer =   "Avram Sidi",
  bibdate =      "Sat Feb 25 12:20:40 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042788903445",
  remark =       "Iterative methods for the solution of linear
                 systems.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{vanderVorst:1988:PSD,
  author =       "H. A. van der Vorst",
  title =        "Parallel Solution of Discretised {PDE}'s",
  journal =      j-IEEE-TRANS-MAGNETICS,
  volume =       "24",
  number =       "1",
  pages =        "286--290",
  year =         "1988",
  CODEN =        "IEMGAQ",
  DOI =          "https://doi.org/10.1109/20.43913",
  ISSN =         "0018-9464 (print), 1941-0069 (electronic)",
  ISSN-L =       "0018-9464",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  fjournal =     "IEEE Transactions on Magnetics",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=20",
}

@Article{vanderVorst:1988:VAS,
  author =       "H. van der Vorst",
  title =        "Vectorial aspects of software libraries",
  journal =      j-SUPERCOMPUTER,
  volume =       "5",
  number =       "1",
  pages =        "33--41",
  month =        jan,
  year =         "1988",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Wed Mar 18 08:37:01 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/supercom.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Math. and Inf., Tech. Univ. Delft, Netherlands",
  classification = "C4100 (Numerical analysis); C7310 (Mathematics)",
  corpsource =   "Math. and Inf., Tech. Univ. Delft, Netherlands",
  fjournal =     "Supercomputer",
  keywords =     "linear algebra; mathematics computing; numerical
                 analysis; numerical software libraries; parallel
                 processing",
  pubcountry =   "Netherlands",
  treatment =    "G General Review",
}

@TechReport{Huang:1989:SOCa,
  author =       "Y. Huang and H. A. van der Vorst",
  title =        "Some observations on the convergence behaviour of
                 {GMRES}",
  number =       "89-09",
  institution =  "Delft University of Technology, Faculty of Tech.
                 Math.",
  year =         "1989",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@Article{Huang:1989:SOCb,
  author =       "Yun Qing Huang and Henk A. van der Vorst",
  title =        "Some observations on the convergence behavior of
                 {GMRES}. {I}",
  journal =      j-NATUR-SCI-J-XIANGTAN-UNIV,
  volume =       "11",
  number =       "4",
  pages =        "103--116",
  year =         "1989",
  CODEN =        "XDZEWR",
  ISSN =         "1000-5900",
  MRclass =      "65F10 (65F50 65N22)",
  MRnumber =     "MR1156259 (92k:65058)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Natural Science Journal of Xiangtan University.
                 Xiangtan Daxue Ziran Kexue Xuebao",
}

@Article{Schlichting:1989:SBB,
  author =       "J. J. F. M. Schlichting and H. A. van der Vorst",
  title =        "Solving {$3$D} block bidiagonal linear systems on
                 vector computers",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "27",
  number =       "1--2",
  pages =        "323--330",
  month =        sep,
  year =         "1989",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(89)90373-7",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:43 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042789903737",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  remark =       "Special Issue on Parallel Algorithms for Numerical
                 Linear Algebra.",
}

@InProceedings{vanderVorst:1989:CBS,
  author =       "H. A. van der Vorst",
  title =        "The convergence behavior of some iterative solution
                 methods",
  crossref =     "Gruber:1989:PFI",
  volume =       "1",
  pages =        "61--72",
  year =         "1989",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@Article{vanderVorst:1989:EVC,
  author =       "H. A. van der Vorst",
  title =        "{ETA-10P} versus {Cyber 205}",
  journal =      j-SUPERCOMPUTER,
  volume =       "6",
  number =       "1",
  pages =        "17--22",
  month =        jan,
  year =         "1989",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Wed Mar 18 08:37:01 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Fac. of Appl. Math. and Inf., Delft Univ. of Technol.,
                 Netherlands",
  classification = "C5220 (Computer architecture); C5430
                 (Microcomputers)",
  corpsource =   "Fac. of Appl. Math. and Inf., Delft Univ. of Technol.,
                 Netherlands",
  fjournal =     "Supercomputer",
  keywords =     "computer architecture; Cyber 205; Eta-10P; parallel
                 processing",
  pubcountry =   "Netherlands",
  treatment =    "P Practical",
}

@Article{vanderVorst:1989:HPP,
  author =       "Henk A. van der Vorst",
  title =        "High performance preconditioning",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "6",
  pages =        "1174--1185",
  month =        nov,
  year =         "1989",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F50 (65N05)",
  MRnumber =     "MR1025537 (90k:65114)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Sparse matrix algorithms on supercomputers.",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation);
                 C4170 (Differential equations)",
  corpsource =   "Fac. of Tech. Math. and Inf., Delft Univ. of Technol.,
                 Netherlands",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  keywords =     "discretization; high performance preconditioning;
                 iterative methods; partial differential equations;
                 second-order elliptic partial differential equations;
                 sparse linear systems; three-dimensional rectangular
                 regions; vector computers",
  treatment =    "T Theoretical or Mathematical",
}

@Article{vanderVorst:1989:IRM,
  author =       "H. A. van der Vorst",
  title =        "{ICCG} and related methods for {$3$D} problems on
                 vector computers",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "223--235",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90162-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465589901628",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{vanderVorst:1989:PAP,
  author =       "Henk A. van der Vorst",
  title =        "Practical aspects of parallel scientific computing",
  journal =      j-FUT-GEN-COMP-SYS,
  volume =       "4",
  number =       "4",
  pages =        "285--291",
  month =        mar,
  year =         "1989",
  CODEN =        "FGSEVI",
  ISSN =         "0167-739X (print), 1872-7115 (electronic)",
  ISSN-L =       "0167-739X",
  bibdate =      "Fri Jul 15 09:05:57 MDT 2005",
  bibsource =    "ftp://ftp.ira.uka.de/bibliography/Misc/Bibnet/authors/v/vandervorst-henk-a.bib;
                 ftp://ftp.ira.uka.de/bibliography/Parallel/par.lin.alg.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 http://www.sciencedirect.com/science/journal/0167739X",
  acknowledgement = ack-nhfb,
  fjournal =     "Future Generation Computer Systems",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0167739X",
}

@Article{vanderVorst:1989:VLR,
  author =       "H. A. van der Vorst and K. Dekker",
  title =        "Vectorization of linear recurrence relations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "1",
  pages =        "27--35",
  month =        jan,
  year =         "1989",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F30 (65W05)",
  MRnumber =     "MR976159 (90a:65103)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "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 =   "Fac. of Tech. Math. and Inf., Delft Univ. of Technol.,
                 Netherlands",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  keywords =     "linear algebra; linear bidiagonal systems; linear
                 recurrence relations; numerically stable; parallel
                 algorithms; partition method; vector computers",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Huang:1990:SOC,
  author =       "Yun Qing Huang and Henk A. van der Vorst",
  title =        "Some observations on the convergence behavior of
                 {GMRES}. {II}",
  journal =      j-NATUR-SCI-J-XIANGTAN-UNIV,
  volume =       "12",
  number =       "2",
  pages =        "135--149",
  year =         "1990",
  CODEN =        "XDZEWR",
  ISSN =         "1000-5900",
  MRclass =      "65F50",
  MRnumber =     "MR1111875",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Natural Science Journal of Xiangtan University.
                 Xiangtan Daxue Ziran Kexue Xuebao",
}

@TechReport{Schlichting:1990:NFL,
  author =       "J. J. F. M. Schlichting and H. A. van der Vorst",
  title =        "{NUMVEC FORTRAN} library manual",
  type =         "Report. Centrum voor Wiskunde en Informatica",
  number =       "NM-9018",
  institution =  "Stichting Mathematisch Centrum",
  address =      "Amsterdam, The Netherlands",
  pages =        "11",
  month =        oct,
  year =         "1990",
  bibdate =      "Mon Oct 26 07:04:38 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran3.bib",
  abstract =     "This document describes the NUMVEC FORTRAN Library
                 routine ICCG3D for the solution of the 7-diagonal
                 symmetrical linear systems, that arise from the 7-point
                 discretization of a partial differential equation over
                 a 3-dimensional domain. Use is made of the so-called
                 MICCG-hyperplane method with scaled initial diagonal,
                 `Eisenstat's trick' and Cyber 205 sparse vector
                 instructions. An example shows a performance of nearly
                 85 MFLOPS for this routine.",
  acknowledgement = ack-nhfb,
  annote =       "Chapter title: Partial differential equations,
                 routine: ICCG3D.",
  keywords =     "Differential equations, Partial --- Computer
                 programs.",
}

@Article{vanderSluis:1990:SCT,
  author =       "A. {Van der Sluis} and H. A. van der Vorst",
  title =        "{SIRT}- and {CG}-type methods for the iterative
                 solution of sparse linear least-squares problems",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "130",
  pages =        "257--303 (or 257--302??)",
  year =         "1990",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F10 (65F50)",
  MRnumber =     "MR1057810 (91m:65095)",
  MRreviewer =   "G. Maess",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Linear algebra in image reconstruction from
                 projections.",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{vanderVorst:1990:CBP,
  author =       "H. A. {van der Vorst}",
  title =        "The convergence behaviour of preconditioned {CG} and
                 {CG-S} in the presence of rounding errors",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1457",
  pages =        "126--136",
  year =         "1990",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0090905",
  ISBN =         "3-540-53515-2 (print), 3-540-46746-7 (e-book)",
  ISBN-13 =      "978-3-540-53515-7 (print), 978-3-540-46746-5
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "65F35",
  MRnumber =     "1101632 (92a:65141)",
  MRreviewer =   "Seymour Bachmuth",
  bibdate =      "Fri May 9 19:07:18 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.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/lnm1990.bib;
                 MathSciNet database",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0090905/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0090897",
  book-URL =     "http://www.springerlink.com/content/978-3-540-46746-5",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
  MRauthor =     "H. A. {van der Vorst}",
  mynote =       "Not copied. No actual error analysis. Just
                 explanations based on his paper with van der Sluis
                 (don't reference Greenbaum!).",
}

@Article{vanderVorst:1990:EPV,
  author =       "H. A. van der Vorst",
  title =        "Experiences with parallel vector computers for sparse
                 linear systems",
  journal =      j-SUPERCOMPUTER,
  volume =       "7",
  number =       "3",
  pages =        "28--35",
  month =        may,
  year =         "1990",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Wed Mar 18 08:37:01 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Delft Univ. of Technol., Netherlands",
  classification = "C4140 (Linear algebra); C5440 (Multiprocessor
                 systems and techniques)",
  corpsource =   "Delft Univ. of Technol., Netherlands",
  fjournal =     "Supercomputer",
  keywords =     "iterative methods; large sparse linear systems; linear
                 systems; parallel machines; parallel shared memory
                 vector computers; parallel vector computers;
                 parallelism",
  pubcountry =   "Netherlands",
  treatment =    "T Theoretical or Mathematical",
}

@Article{vanderVorst:1990:PGT,
  author =       "H. A. van der Vorst and J. B. M. Melissen",
  title =        "A {Petrov--Galerkin} type method for solving {$ A x =
                 b $}, where {$A$} is symmetric complex",
  journal =      j-IEEE-TRANS-MAGNETICS,
  volume =       "26",
  number =       "2",
  pages =        "706--708",
  year =         "1990",
  CODEN =        "IEMGAQ",
  DOI =          "https://doi.org/10.1109/20.106415",
  ISSN =         "0018-9464 (print), 1941-0069 (electronic)",
  ISSN-L =       "0018-9464",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  fjournal =     "IEEE Transactions on Magnetics",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=20",
}

@Article{Bisseling:1991:PTS,
  author =       "Rob H. Bisseling and Johannes G. G. {van de Vorst}",
  title =        "Parallel Triangular System Solving on a Mesh Network
                 of Transputers",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "12",
  number =       "4",
  pages =        "787--799",
  month =        jul,
  year =         "1991",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0912041",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F05 (65Y05)",
  MRnumber =     "92a:65086",
  bibdate =      "Mon Mar 31 10:00:45 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  onlinedate =   "July 1991",
}

@TechReport{Chan:1991:TFS,
  author =       "T. F. Chan and L. {De Pillis} and H. A. van der
                 Vorst",
  title =        "A transpose-free squared {Lanczos} algorithm and
                 application to solving nonsymmetric linear systems",
  number =       "Preprint 690",
  institution =  "Utrecht University",
  address =      "Utrecht, The Netherlands",
  year =         "1991",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Book{Dongarra:1991:SLS,
  author =       "Jack J. Dongarra and Iain S. Duff and Danny C.
                 Sorensen and Henk A. {van der Vorst}",
  title =        "Solving Linear Systems on Vector and Shared Memory
                 Computers",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "x + 256",
  year =         "1991",
  ISBN =         "0-89871-270-X",
  ISBN-13 =      "978-0-89871-270-4",
  LCCN =         "QA184 .S65 1991",
  bibdate =      "Mon Oct 26 07:30:53 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 https://www.math.utah.edu/pub/tex/bib/texbook2.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  tableofcontents = "Introduction / 1 \\
                 1 Vector and Parallel Processing / 3 \\
                 1.1 Traditional Computers and Their Limitations / 3 \\
                 1.2 Parallelism within a Single Processor / 4 \\
                 1.2.1 Multiple Functional Units / 4 \\
                 1.2.2 Pipelining / 4 \\
                 1.2.3 Overlapping / 6 \\
                 1.2.4 RISC / 7 \\
                 1.2.5 VLIW / 8 \\
                 1.2.6 Vector Instructions / 8 \\
                 1.2.7 Chaining / 9 \\
                 1.2.8 Memory-to-Memory and Register-to-Register
                 Organizations / 10 \\
                 1.2.9 Register Set / 10 \\
                 1.2.10 Stripmining / 11 \\
                 1.2.11 Reconfigurable Vector Registers / 11 \\
                 1.2.12 Memory Organization / 12 \\
                 1.3 Data Organization / 14 \\
                 1.3.1 Main Memory / 14 \\
                 1.3.2 Cache / 16 \\
                 1.3.3 Local Memory / 18 \\
                 1.4 Memory Management / 18 \\
                 1.5 Parallelism through Multiple Pipes or Multiple
                 Processors / 21 \\
                 1.6 Interconnection Topology / 22 \\
                 1.6.1 Crossbar Switch / 23 \\
                 1.6.2 Timeshared Bus / 24 \\
                 1.6.3 Ring Connection / 25 \\
                 1.6.4 Mesh Connection / 25 \\
                 1.6.5 Hypercube / 26 \\
                 1.6.6 Multistaged Network / 27 \\
                 1.7 Programming Techniques / 29 \\
                 2 Overview of Current High-Performance Computers / 33
                 \\
                 2.1 Supercomputers / 33 \\
                 2.2 Mini-Supercomputers / 36 \\
                 2.3 Vector Mainframes / 37 \\
                 2.4 Novel Parallel Processors / 37 \\
                 3 Implementation Details and Overhead / 43 \\
                 3.1 Parallel Decomposition and Data Dependency Graphs /
                 43 \\
                 3.2 Synchronization / 46 \\
                 3.3 Load Balancing / 48 \\
                 3.4 Recurrence / 49 \\
                 3.5 Indirect Addressing / 51 \\
                 4 Performance: Analysis, Modeling, and Measurements /
                 53 \\
                 4.1 Amdahl's Law / 54 \\
                 4.1.1 Simple Case of Amdahl's Law / 54 \\
                 4.1.2 General Form of Amdahl's Law / 55 \\
                 4.2 Vector Speed and Vector Length / 56 \\
                 4.3 Amdahl's Law-Parallel Processing / 57 \\
                 4.3.1 A Simple Model / 60 \\
                 4.3.2 Gustafson's Model / 60 \\
                 4.4 Examples of $(r_\infty, n_{1/2})$-values for
                 Various Computers / 60 \\
                 4.4.1 CRAY-1 and CRAY-2 (one processor) / 62 \\
                 4.4.2 CRAY X-MP (one processor; clock cycle time 8.5
                 nsec) / 63 \\
                 4.4.3 CYBER 205 (2-pipe) and ETA-10P (single processor)
                 / 63 \\
                 4.4.4 IBM 3090/VF (1 processor; clock cycle time 18.5
                 nsec) / 64 \\
                 4.4.5 NEC SX/2 / 65 \\
                 4.4.6 Convex C-1 and Convex C-210 / 66 \\
                 4.4.7 Alliant FX/80 / 66 \\
                 4.4.8 General Observations / 68 \\
                 4.5 LINPACK Benchmark / 68 \\
                 4.5.1 Description of the Benchmark / 69 \\
                 4.5.2 Calls to the BLAS / 69 \\
                 4.5.3 Asymptotic Performance / 75 \\
                 5 Building Blocks in Linear Algebra / 75 \\
                 5.1 Basic Linear Algebra Subprograms / 75 \\
                 5.1.1 Level 1 BLAS / 76 \\
                 5.1.2 Level 2 BLAS / 77 \\
                 5.1.3 Level 3 BLAS / 78 \\
                 5.2 Levels of Parallelism / 81 \\
                 5.2.1 Vector Computers / 81 \\
                 5.2.2 Parallel Processors with Shared Memory / 82 \\
                 5.2.3 Parallel-Vector Computers / 83 \\
                 5.2.4 Clusters of Parallel Vector Processors / 84 \\
                 5.3 Basic Factorizations of Linear Algebra / 84 \\
                 5.3.1 Point Algorithm: Gaussian Elimination with
                 Partial Pivoting / 84 \\
                 5.3.2 Special Matrices / 86 \\
                 5.4 Blocked Algorithms: Matrix-Vector and Matrix-Matrix
                 Versions / 89 \\
                 5.4.1 Right-Looking Algorithm / 90 \\
                 5.4.2 Left-Looking Algorithm / 92 \\
                 5.4.3 Crout Algorithm / 98 \\
                 5.4.4 Typical Performance of Blocked LU Decomposition /
                 94 \\
                 5.4.5 Blocked Symmetric Indefinite Factorization / 95
                 \\
                 5.4.6 Typical Performance of Blocked Symmetric
                 Indefinite Factorization. / 98 \\
                 5.5 Linear Least Squares / 98 \\
                 5.5.1 Householder Method / 99 \\
                 5.5.2 Blocked Householder Method / 100 \\
                 5.5.3 Typical Performance of the Blocked Householder
                 Factorization / 101 \\
                 5.6 Organization of the Modules / 102 \\
                 5.6.1 Matrix--Vector Product / 102 \\
                 5.6.2 Matrix--Matrix Product / 103 \\
                 5.6.3 Typical Performance for Parallel Processing / 104
                 \\
                 5.6.4 Benefits / 105 \\
                 5.7 LAPACK / 106 \\
                 6 Direct Solution of Sparse Linear Systems / 109 \\
                 6.1 Introduction to Direct Methods for Sparse Linear
                 Systems / 111 \\
                 6.1.1 Three Approaches / 111 \\
                 6.1.2 Description of Sparse Data Structure / 112 \\
                 6.1.3 Manipulation of Sparse Data Structure / 114 \\
                 6.2 General Sparse Matrix Methods / 116 \\
                 6.3 Methods for Symmetric Matrices and Band Systems /
                 124 \\
                 6.3.1 The Clique Concept in Gaussian Elimination / 125
                 \\
                 6.3.2 Code Performance and Symmetry / 128 \\
                 6.4 Frontal Methods / 130 \\
                 6.4.1 Organization / 130 \\
                 6.4.2 Vector Performance / 132 \\
                 6.5 Multifrontal Methods / 135 \\
                 6.5.1 Performance on Vector Machines / 139 \\
                 6.5.2 Performance on Parallel Machines / 139 \\
                 6.6 Other Approaches for Exploitation of Parallelism /
                 141 \\
                 6.7 Software / 141 \\
                 6.8 Brief Summary / 142 \\
                 7 Iterative Solution of Sparse Linear Systems / 143 \\
                 7.1 Iterative Methods / 145 \\
                 7.1.1 Conjugate Gradient / 145 \\
                 7.1.2 Least Squares Conjugate Gradients / 148 \\
                 7.1.3 Biconjugate Gradients / 150 \\
                 7.1.4 Conjugate Gradient Squared / 152 \\
                 7.1.5 GMRES and GMRES(m) / 154 \\
                 7.1.6 Adaptive Chebychev / 156 \\
                 7.2 Vector and Parallel Aspects / 158 \\
                 7.2.1 General Remarks / 158 \\
                 7.2.2 Sparse Matrix-Vector Multiplication / 160 \\
                 7.2.3 Performance of the Unpreconditioned Methods / 164
                 \\
                 7.3 Preconditioning / 165 \\
                 7.3.1 General Aspects / 165 \\
                 7.3.2 Efficient Implementations / 168 \\
                 7.3.3 Partial Vectorization / 170 \\
                 7.3.4 Reordering the Unknowns / 172 \\
                 7.3.5 Changing the Order of Computation / 174 \\
                 7.3.6 Some Other Vectorizable Preconditioners / 180 \\
                 7.3.7 Parallel Aspects / 183 \\
                 7.4 Experiences with Parallelism / 186 \\
                 7.4.1 General Remarks / 186 \\
                 7.4.2 Overlapping Local Preconditioners / 186 \\
                 7.4.3 Repeated Twisted Factorization / 188 \\
                 7.4.4 Twisted and Nested Twisted Factorization / 189
                 \\
                 7.4.5 Hyperplane Ordering / 189 \\
                 A Acquiring Mathematical Software / 191 \\
                 B Glossary / 197 \\
                 C Information on Various High-Performance Computers /
                 213 \\
                 D Level 1, 2, and 3 BLAS Quick Reference / 221 \\
                 E Operation Counts for Various BLAS and Decompositions
                 / 227 \\
                 Index / 247",
}

@InProceedings{Driessen:1991:BCS,
  author =       "M. Driessen and H. van der Vorst",
  title =        "{Bi-CGSTAB} in semiconductor modelling",
  crossref =     "Fichtner:1991:SSD",
  pages =        "45--54",
  year =         "1991",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@Article{teRiele:1991:Pa,
  author =       "Herman J. J. te Riele and T. J. Dekker and H. A. van
                 der Vorst",
  title =        "Preface",
  journal =      j-APPL-NUM-MATH,
  volume =       "7",
  number =       "5",
  pages =        "367--368",
  month =        jun,
  year =         "1991",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Sat Mar 21 08:43:50 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/016892749190007M",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
}

@Article{teRiele:1991:Pb,
  author =       "Herman J. J. te Riele and T. J. Dekker and H. A. van
                 der Vorst",
  title =        "Preface",
  journal =      j-APPL-NUM-MATH,
  volume =       "8",
  number =       "2",
  pages =        "91--92",
  month =        sep,
  year =         "1991",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Sat Mar 21 08:43:50 2015",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/016892749190044Z",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
}

@TechReport{vanderVorst:1991:GFN,
  author =       "H. A. van der Vorst and C. Vuik",
  title =        "{GMRESR}: a family of nested {GMRES} methods",
  number =       "91-80",
  institution =  "Delft University of Technology, Faculty of Tech.
                 Math.",
  year =         "1991",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  notes =        "to appear in Num. Lin. Alg. with Appl.",
}

@Article{vanderVorst:1991:IMS,
  author =       "H. A. van der Vorst",
  title =        "Iterative methods for the solution of large systems of
                 equations on supercomputers",
  journal =      j-ADV-WATER-RESOURCES,
  volume =       "13",
  pages =        "137--146",
  year =         "1991",
  CODEN =        "AWREDI",
  ISSN =         "0309-1708 (print), 1872-9657 (electronic)",
  ISSN-L =       "0309-1708",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  fjournal =     "Advances in Water Resources",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03091708",
}

@InProceedings{vanderVorst:1991:UBC,
  author =       "H. A. van der Vorst",
  title =        "The Use of {Bi-CGSTAB} for Unsymmetric Linear
                 Systems",
  crossref =     "Shimasaki:1991:PIS",
  pages =        "206--212 (or 206--211??)",
  year =         "1991",
  bibdate =      "Mon Aug 26 10:38:41 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Demmel:1992:PNL,
  author =       "James W. Demmel and Michael T. Heath and Henk A. van
                 der Vorst",
  title =        "Parallel Numerical Linear Algebra",
  type =         "Technical Report",
  number =       "UCB/CSD-92-703",
  institution =  "Computer Science Division, University of California,
                 Berkeley",
  address =      "????",
  pages =        "????",
  year =         "1992",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "To appear in Acta Numerica, Cambridge University
                 Press.",
}

@TechReport{Dongarra:1992:PVCa,
  author =       "Jack J. Dongarra and Henk A. van der Vorst",
  title =        "Performance of Various Computers Using Standard
                 Techniques for Solving Sparse Linear Equations",
  type =         "Technical Report",
  number =       "CS-92-168",
  institution =  "Department of Computer Science, University of
                 Tennessee",
  address =      "????",
  pages =        "????",
  year =         "1992",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@Article{Dongarra:1992:PVCb,
  author =       "Jack J. Dongarra and Henk A. van der Vorst",
  title =        "Performance of Various Computers Using Standard Sparse
                 Linear Equations Solving Techniques",
  journal =      j-SUPERCOMPUTER,
  volume =       "9",
  number =       "5",
  pages =        "17--29",
  month =        sep,
  year =         "1992",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Sat Mar 22 15:39:54 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://www.netlib.org/utk/people/JackDongarra/PAPERS/Performance-of-Various-Computers-Using-Standard-Techniques.pdf",
  acknowledgement = ack-nhfb,
  classcodes =   "C5470 (Performance evaluation and testing); C4130
                 (Interpolation and function approximation); C4140
                 (Linear algebra)",
  corpsource =   "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN,
                 USA",
  fjournal =     "Supercomputer",
  keywords =     "architecture; benchmark program; computer performance;
                 conjugate gradient iterative solver; conjugate gradient
                 methods; definite linear systems; evaluation; linear
                 equations; LINPACK; matrices; matrix algebra;
                 performance; positive; sparse; symmetric linear
                 systems",
  treatment =    "P Practical; T Theoretical or Mathematical",
  xxtitle =      "Performance of various computers using standard
                 techniques for solving sparse linear equations",
  xxtitle =      "Performance of Various Computers Using Standard Linear
                 Equations Software in a {Fortran} Environment",
}

@Article{vanderVorst:1992:BCF,
  author =       "H. A. van der Vorst",
  title =        "{BI-CGSTAB}: a Fast and Smoothly Converging Variant
                 of {BI-CG} for the Solution of Nonsymmetric Linear
                 Systems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "13",
  number =       "2",
  pages =        "631--644",
  month =        mar,
  year =         "1992",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F10",
  MRnumber =     "MR1149111 (92j:65048)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
}

@InProceedings{vanderVorst:1992:CGT,
  author =       "H. A. van der Vorst",
  title =        "Conjugate gradient type methods for nonsymmetric
                 linear systems",
  crossref =     "Beauwens:1992:IML",
  pages =        "67--76",
  year =         "1992",
  MRclass =      "65F10",
  MRnumber =     "MR1159718",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{VanDijke:1992:RBA,
  author =       "M. C. A. {Van Dijke} and H. A. van der Vorst and M. A.
                 Viergever",
  title =        "On the Relation between {ART}, Block-{ART} and
                 {SIRT}",
  crossref =     "Todd-Pokropek:1992:MIF",
  year =         "1992",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@Article{Vuik:1992:CSG,
  author =       "C. Vuik and H. A. van der Vorst",
  title =        "A comparison of some {GMRES}-like methods",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "160",
  pages =        "131--162",
  year =         "1992",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F50 (65F10)",
  MRnumber =     "MR1137849 (92k:65080)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Misc{Barrett:1993:BBI,
  author =       "R. Barrett and T. Chan and J. Demmel and J. Donato and
                 J. Dongarra and V. Eijkhout and V. Pozo and Romime C.
                 and H. van der Vorst",
  title =        "Building Blocks for Iterative Solution of Linear
                 Systems",
  howpublished = "in preparation",
  year =         "1993",
  bibdate =      "Tue Feb 26 10:10:44 2002",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/par.lin.alg.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Article{Crone:1993:CAC,
  author =       "L. G. C. Crone and H. A. van der Vorst",
  title =        "Communication aspects of the conjugate gradient method
                 on a distributed-memory machine",
  journal =      j-SUPERCOMPUTER,
  volume =       "10",
  number =       "6",
  pages =        "4--9",
  year =         "1993",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Sun Feb 23 16:21:37 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  fjournal =     "Supercomputer",
}

@TechReport{Demmel:1993:PNLa,
  author =       "James W. Demmel and Michael T. Heath and Henk A. van
                 der Vorst",
  title =        "Parallel Numerical Linear Algebra",
  type =         "LAPACK Working Note",
  number =       "60",
  institution =  inst-UTK-CS,
  address =      inst-UTK-CS:adr,
  month =        mar,
  year =         "1993",
  bibdate =      "Fri Apr 22 17:06:37 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/lawn.bib",
  note =         "UT-CS-93-192, March 1993. Published in
                 \cite{Demmel:1993:PNLb}.",
  URL =          "http://www.netlib.org/lapack/lawns/lawn60.ps;
                 http://www.netlib.org/lapack/lawnspdf/lawn60.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Demmel:1993:PNLb,
  author =       "James W. Demmel and Michael T. Heath and Henk A. van
                 der Vorst",
  title =        "Parallel numerical linear algebra",
  journal =      j-ACTA-NUMERICA,
  volume =       "2",
  pages =        "111--197",
  year =         "1993",
  CODEN =        "ANUMFU",
  DOI =          "https://doi.org/10.1017/S096249290000235X",
  ISBN =         "0-521-44356-3",
  ISBN-13 =      "978-0-521-44356-2",
  ISSN =         "0962-4929 (print), 1474-0508 (electronic)",
  ISSN-L =       "0962-4929",
  MRclass =      "65Y05 (65-02 65Fxx)",
  MRnumber =     "MR1224682 (94f:65133)",
  MRreviewer =   "K. N. Sigmon",
  bibdate =      "Sat Sep 24 10:23:31 MDT 2011",
  bibsource =    "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Parallel/dbpp.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/actanumerica.bib;
                 MathSciNet database",
  abstract =     "We survey general techniques and open problems in
                 numerical linear algebra on parallel architectures. We
                 first discuss basic principles of parallel processing,
                 describing the costs of basic operations on parallel
                 machines, including general principles for constructing
                 efficient algorithms. We illustrate these principles
                 using current architectures and software systems, and
                 by showing how one would implement matrix
                 multiplication. Then, we present direct and iterative
                 algorithms for solving linear systems of equations,
                 linear least squares problems, the symmetric eigenvalue
                 problem, the nonsymmetric eigenvalue problem, and the
                 singular value decomposition. We consider dense, band
                 and sparse matrices.",
  acknowledgement = ack-nhfb,
  ajournal =     "Acta Numer.",
  fjournal =     "Acta Numerica",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANU",
  onlinedate =   "07 November 2008",
}

@TechReport{DeSturler:1993:REG,
  author =       "Eric {De Sturler} and Henk A. van der Vorst",
  title =        "Reducing the effect of global communication in
                 {GMRES}(m) and {CG} on Parallel Distributed Memory
                 Computers",
  number =       "832",
  institution =  "Department of Mathematics, University Utrecht",
  address =      "Utrecht",
  year =         "1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@InProceedings{Dongarra:1993:PVC,
  author =       "Jack J. Dongarra and Henk A. van der Vorst",
  title =        "Performance of Various Computers Using Standard Sparse
                 Linear Equations Solving Techniques",
  crossref =     "Dongarra:1993:CB",
  pages =        "177--188",
  year =         "1993",
  bibdate =      "Tue Feb 26 10:10:44 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Kooper:1993:AIU,
  author =       "M. N. Kooper and H. A. van der Vorst and S. Poedts and
                 J. P. Goedbloed",
  title =        "Application of the {Implicitly} {Updated} {Arnoldi}
                 {Method} with a Complex Shift and Invert Strategy in
                 {MHD}",
  number =       "PP 93/061",
  institution =  "FOM, Nieuwegein",
  year =         "1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@TechReport{Paige:1993:ASE,
  author =       "C. C. Paige and B. N. Parlett and H. A. van der
                 Vorst",
  title =        "Approximate solutions and eigenvalue bounds from
                 {Krylov} subspaces",
  number =       "PAM-579",
  institution =  "Center for Pure and Appl. Math., University of
                 California, Berkeley, CA",
  year =         "1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  notes =        "to appear in Num. Lin. Alg. with Appl.",
}

@InCollection{Sleijpen:1993:OIM,
  author =       "G. L. G. Sleijpen and H. A. van der Vorst",
  title =        "Optimal Iteration Methods for Large Linear Systems of
                 Equations",
  crossref =     "Vreugdenhil:1993:NMA",
  pages =        "291--320",
  year =         "1993",
  MRclass =      "65F10",
  MRnumber =     "MR1251546 (94k:65049)",
  MRreviewer =   "Mari{\'a}n Vajter{\v{s}}ic",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Chapter 12.",
  acknowledgement = ack-nhfb,
}

@InProceedings{vanderVorst:1993:EID,
  author =       "Henk A. van der Vorst and Gerard G. L. Sleijpen",
  title =        "The effect of incomplete decomposition preconditioning
                 on the convergence of {Conjugate Gradients}",
  crossref =     "Hackbusch:1993:IDI",
  pages =        "179--187",
  year =         "1993",
  MRclass =      "65F35",
  MRnumber =     "MR1232482 (94g:65048)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
}

@InProceedings{vanderVorst:1993:FIN,
  author =       "Henk A. van der Vorst and Diederik R. Fokkema and
                 Gerard L. G. Sleijpen",
  title =        "Further improvements in nonsymmetric hybrid iterative
                 methods",
  crossref =     "Selberherr:1993:SSD",
  pages =        "89--92",
  year =         "1993",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@InProceedings{vanderVorst:1993:MRM,
  author =       "Henk A. van der Vorst",
  title =        "Minimum Residual Modifications to {Bi-CG} and
                 Preconditioners",
  crossref =     "Golub:1993:RAI",
  pages =        "217--225",
  year =         "1993",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@InProceedings{vanderVorst:1993:PAI,
  author =       "Henk A. van der Vorst",
  title =        "Parallel aspects of iterative methods",
  crossref =     "Fincham:1993:PCB",
  pages =        "175--186",
  year =         "1993",
  MRclass =      "65Y05",
  MRnumber =     "MR1370939",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  series =       "Inst. Math. Appl. Conf. Ser. New Ser.",
}

@Article{vanderVorst:1993:SCB,
  author =       "H. A. van der Vorst and C. Vuik",
  title =        "The superlinear convergence behaviour of {GMRES}",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "48",
  number =       "3",
  pages =        "327--341",
  day =          "30",
  month =        nov,
  year =         "1993",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(93)90028-A",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F10 (65F15)",
  MRnumber =     "MR1252545 (95b:65054)",
  MRreviewer =   "Ralph Byers",
  bibdate =      "Sat Feb 25 12:20:59 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/037704279390028A",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Book{Barrett:1994:TSLa,
  author =       "Richard Barrett and Michael Berry and Tony F. Chan and
                 James Demmel and June Donato and Jack Dongarra and
                 Victor Eijkhout and Roldan Pozo and Charles Romine and
                 Henk van der Vorst",
  title =        "Templates for the Solution of Linear Systems:
                 {Building} Blocks for Iterative Methods",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xiii + 112",
  year =         "1994",
  ISBN =         "0-89871-328-5",
  ISBN-13 =      "978-0-89871-328-2",
  LCCN =         "QA297.8 .T45 1994",
  bibdate =      "Tue Mar 05 17:39:36 2002",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "ftp://cs.utk.edu/linalg/templates.ps",
  acknowledgement = ack-nhfb,
}

@Book{Barrett:1994:TSLb,
  author =       "Richard Barrett and Michael Berry and Tony F. Chan and
                 James W. Demmel and June Donato and Jack Dongarra and
                 Victor Eijkhout and Roldan Pozo and Charles Romine and
                 Henk van der Vorst",
  title =        "Templates for the Solution of Linear Systems: Building
                 Blocks for Iterative Methods ({Japanese})",
  publisher =    "Asakura Shoten",
  address =      "Tokyo, Japan",
  pages =        "????",
  year =         "1994",
  ISBN =         "4-254-11401-X",
  ISBN-13 =      "978-4-254-11401-0",
  LCCN =         "????",
  bibdate =      "Mon Jun 07 19:34:29 1999",
  bibsource =    "http://www.hensa.ac.uk/ftp/mirrors/matlab/doc/MATLAB_BASED_BOOKS;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib",
  note =         "See book review \cite{Anonymous:1995:BRB}.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Booten:1994:PAM,
  author =       "J. G. L. Booten and P. M. Meijer and H. J. J. {Te
                 Riele} and H. A. van der Vorst",
  title =        "Parallel {Arnoldi} method for the construction of a
                 {Krylov} subspace basis: an application in
                 magnetohydrodynamics",
  crossref =     "Gentzsch:1994:HPC",
  volume =       "2",
  pages =        "196--201",
  year =         "1994",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@TechReport{Booten:1994:PJD,
  author =       "J. G. L. Booten and H. A. van der Vorst and P. M.
                 Meijer and H. J. J. {Te Riele}",
  title =        "A preconditioned {Jacobi--Davidson} method for solving
                 large generalized eigenvalue problems",
  number =       "NM-R9414",
  institution =  pub-CWI,
  address =      pub-CWI:adr,
  year =         "1994",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "Submitted to SIAM J. Sci. Comp.",
}

@TechReport{Chan:1994:AIF,
  author =       "Tony C. Chan and Henk A. van der Vorst",
  title =        "Approximate and Incomplete Factorizations",
  number =       "871",
  institution =  "University of Utrecht, Department of Mathematics",
  year =         "1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "To appear in: Proc of Norfolk-NASA Conference, May
                 1994.",
}

@InProceedings{deSturler:1994:CCR,
  author =       "E. {de Sturler} and H. A. van der Vorst",
  title =        "Communication Cost Reduction for {Krylov} Methods on
                 Parallel Computers",
  crossref =     "Gentzsch:1994:HPC",
  pages =        "190--195",
  year =         "1994",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@TechReport{Fokkema:1994:GCG,
  author =       "D. R. Fokkema and G. L. G. Sleijpen and H. A. van der
                 Vorst",
  title =        "{Generalized} {Conjugate} {Gradient} {Squared}",
  number =       "851",
  institution =  "Department of Mathematics, University Utrecht",
  year =         "1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "Submitted for Proceedings Beckenridge Conference,
                 April, 1994.",
}

@Article{Kuijlaars:1994:MMJ,
  author =       "A. Kuijlaars and H. A. van der Vorst",
  title =        "In memoriam: {E. M. J. Bertin}: 1931--1994",
  journal =      j-NIEUW-ARCHIEF-WISKUNDE-4,
  volume =       "12",
  number =       "3",
  pages =        "195--199",
  year =         "1994",
  CODEN =        "NAWIA7",
  ISSN =         "0028-9825",
  MRclass =      "01A70",
  MRnumber =     "MR1312120",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Nieuw Archief voor Wiskunde. Vierde Serie",
}

@InProceedings{Poedts:1994:PMC,
  author =       "S. Poedts and P. M. Meijer and J. P. Goedbloed and H.
                 A. van der Vorst and A. Jakoby",
  title =        "Parallel Magnetohydrodynamics on the {CM-5}",
  crossref =     "Gentzsch:1994:HPC",
  volume =       "1",
  pages =        "365--370",
  year =         "1994",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@InProceedings{Sleijpen:1994:BES,
  author =       "G. L. G. Sleijpen and D. R. Fokkema and H. A. van der
                 Vorst",
  title =        "{BiCGstab}($ \ell $ ): An Efficient and Surprisingly
                 Stable Solver of Nonsymmetric Linear Equations",
  crossref =     "Brown:1994:PCL",
  pages =        "291--293",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{Sleijpen:1994:GJD,
  author =       "G. L. G. Sleijpen and H. A. van der Vorst",
  title =        "A generalized {Jacobi--Davidson} iteration method for
                 linear eigenvalue problems",
  number =       "856",
  institution =  "University Utrecht, Department of Mathematics",
  year =         "1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  notes =        "submitted for publication",
}

@TechReport{Sleijpen:1994:MCP,
  author =       "G. L. G. Sleijpen and H. A. van der Vorst",
  title =        "Maintaining convergence properties of {BICGSTAB}
                 methods in finite precision arithmetic",
  number =       "861",
  institution =  "University Utrecht, Department of Mathematics",
  year =         "1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  notes =        "submitted for publication",
}

@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/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{vanderVorst:1994:BRB,
  author =       "Henk van der Vorst",
  title =        "Book Review: {{\booktitle{Parallel Numerical
                 Algorithms}} (T. L. Freeman and C. Phillips)}",
  journal =      j-SIAM-REVIEW,
  volume =       "36",
  number =       "4",
  pages =        "678--679",
  month =        dec,
  year =         "1994",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1036172",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:55:26 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/36/4;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://www.siam.org/journals/sirev/sirev364.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "December 1994",
}

@InProceedings{vanderVorst:1994:CBA,
  author =       "Henk A. van der Vorst",
  title =        "A Comparison between {ART}, {CG} and {SIRT}",
  crossref =     "Brown:1994:PCL",
  pages =        "302--304",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:1994:GFN,
  author =       "H. A. van der Vorst and C. Vuik",
  title =        "{GMRESR}: a family of nested {GMRES} methods",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "1",
  number =       "4",
  pages =        "369--386",
  year =         "1994",
  CODEN =        "NLAAEM",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65F10 (65-04)",
  MRnumber =     "MR1306699 (95j:65034)",
  MRreviewer =   "L. W. Ehrlich",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}

@InProceedings{vanderVorst:1994:IHI,
  author =       "H. A. van der Vorst and G. L. G. Sleijpen",
  editor =       "W. G. Habashi",
  booktitle =    "{Proceedings of the International Workshop on Solution
                 Techniques for Large-Scale CFD Problems}",
  title =        "An Introduction to Hybrid Iteration Methods",
  publisher =    "CERCA",
  address =      "Montr{\'e}al, Qu{\'e}bec, Canada",
  pages =        "143--159",
  year =         "1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  xxnote =       "Check: is this (re)published in
                 \cite{Habashi:1995:STL}??",
}

@InProceedings{vanderVorst:1994:IML,
  author =       "Henk A. van der Vorst",
  title =        "Iterative methods for linear systems",
  crossref =     "Brown:1994:PCL",
  pages =        "277--277",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{vanderVorst:1994:LSS,
  author =       "Henk A. van der Vorst and Tony C. Chan",
  title =        "Linear System Solvers: Sparse Iterative Solvers",
  number =       "869",
  institution =  "University of Utrecht, Department of Mathematics",
  year =         "1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "To appear in: Proc of Norfolk-NASA Conference, May
                 1994.",
}

@InCollection{vanderVorst:1994:MRM,
  author =       "Henk A. van der Vorst",
  title =        "Minimum residual modifications to {Bi-CG} and to the
                 preconditioner",
  crossref =     "Golub:1993:RAI",
  pages =        "217--225",
  year =         "1994",
  MRclass =      "65F10 (65F35)",
  MRnumber =     "MR1332751",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{vanderVorst:1994:RDH,
  author =       "Henk A. van der Vorst",
  title =        "Recent developments in hybrid {CG} methods",
  crossref =     "Gentzsch:1994:HPC",
  volume =       "2",
  pages =        "174--183",
  year =         "1994",
  bibdate =      "Thu Jun 8 12:55:05 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
}

@TechReport{Bai:1995:TLAa,
  author =       "Z. Bai and D. Day and J. Demmel and J. Dongarra and M.
                 Gu and A. Ruhe and H. van der Vorst",
  title =        "Templates for Linear Algebra Problems",
  type =         "LAPACK Working Note",
  number =       "106",
  institution =  inst-UTK-CS,
  address =      inst-UTK-CS:adr,
  month =        oct,
  year =         "1995",
  bibdate =      "Fri Apr 22 17:06:37 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/lawn.bib",
  note =         "UT-CS-95-311, October 1995. Published in
                 \cite{Bai:1995:TLAb}.",
  URL =          "http://www.netlib.org/lapack/lawns/lawn106.ps;
                 http://www.netlib.org/lapack/lawnspdf/lawn106.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Bai:1995:TLAb,
  author =       "Z. Bai and D. Day and J. Demmel and J. Dongarra",
  title =        "Templates for Linear Algebra Problems",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1000",
  pages =        "115--??",
  year =         "1995",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Sat May 11 13:45:32 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://www.netlib.org/utk/papers/etemplates.ps;
                 http://www.netlib.org/utk/papers/etemplates/paper.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{deSturler:1995:REG,
  author =       "E. {de Sturler} and H. A. van der Vorst",
  title =        "Reducing the effect of global communication in
                 {GMRES(m)} and {CG} on parallel distributed memory
                 computers",
  journal =      j-APPL-NUM-MATH,
  volume =       "18",
  number =       "4",
  pages =        "441--459",
  day =          "9",
  month =        nov,
  year =         "1995",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Wed Jul 28 14:36:12 MDT 1999",
  bibsource =    "Compendex database;
                 http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1995&volume=18&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1995&volume=18&issue=4&aid=627",
  acknowledgement = ack-nhfb,
  affiliation =  "Swiss Federal Inst of Technology",
  affiliationaddress = "Zurich, Switz",
  classification = "716.1; 722.4; 921.1; 921.6",
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
  journalabr =   "Appl Numer Math",
  keywords =     "Algorithms; Communication overhead; Conjugate gradient
                 methods; Information theory; Iterative methods; Matrix
                 algebra; Modified Gram--Schmidt; Parallel distributed
                 memory computers; Parallel processing systems;
                 Performance; Vectors",
}

@Article{Kooper:1995:AIU,
  author =       "M. N. Kooper and H. A. van der Vorst and S. Poedts and
                 J. P. Goedbloed",
  title =        "Application of the implicitly updated {Arnoldi} method
                 with a complex shift-and-invert strategy in {MHD}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "118",
  number =       "2",
  pages =        "320--328",
  month =        may,
  year =         "1995",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.1995.1102",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "76M25 (65F15 76W05)",
  MRnumber =     "MR1329637 (96a:76077)",
  bibdate =      "Mon Jan 2 07:55:02 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
                 MathSciNet database",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999185711023",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Paige:1995:ASE,
  author =       "Chris C. Paige and Beresford N. Parlett and Henk A.
                 van der Vorst",
  title =        "Approximate solutions and eigenvalue bounds from
                 {Krylov} subspaces",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "2",
  number =       "2",
  pages =        "115--133",
  year =         "1995",
  CODEN =        "NLAAEM",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65F15",
  MRnumber =     "MR1323816 (96a:65054)",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}

@Article{Sleijpen:1995:MCP,
  author =       "G{\`e}rard L. G. Sleijpen and Henk A. van der Vorst",
  title =        "Maintaining convergence properties of {BiCGstab}
                 methods in finite precision arithmetic",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "10",
  number =       "3--4",
  pages =        "203--223",
  month =        oct,
  year =         "1995",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10 (65Y20)",
  MRnumber =     "MR1355732 (96g:65037)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 B0290H (Linear algebra); C4130 (Interpolation and
                 function approximation); C4140 (Linear algebra); C4240C
                 (Computational complexity)",
  corpsource =   "Math. Inst., Utrecht Univ., Netherlands",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "Bi-CG coefficient accuracy; Bi-CG iteration
                 coefficients; Bi-CG process; BiCGstab methods;
                 computational complexity; conjugate gradient methods;
                 convergence of numerical methods; convergence property
                 maintenance; convergence speed; finite precision
                 arithmetic; hybrid methods; matrix algebra; rounding
                 errors; roundoff errors",
  pubcountry =   "Switzerland",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Sleijpen:1995:OAS,
  author =       "Gerard L. G. Sleijpen and Henk A. van der Vorst",
  title =        "An overview of approaches for the stable computation
                 of hybrid {BiCG} methods",
  journal =      j-APPL-NUM-MATH,
  volume =       "19",
  number =       "3",
  pages =        "235--254",
  year =         "1995",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65F10",
  MRnumber =     "MR1374351 (96k:65024)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Special issue on iterative methods for linear
                 equations (Atlanta, GA, 1994).",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Booten:1996:CLSa,
  author =       "Albert Booten and Henk van der Vorst",
  title =        "Cracking large-scale eigenvalue problems. {Part I}.
                 {Algorithms}",
  journal =      j-COMPUT-PHYS,
  volume =       "10",
  number =       "3",
  pages =        "239--??",
  month =        may,
  year =         "1996",
  CODEN =        "CPHYE2",
  DOI =          "https://doi.org/10.1063/1.168574",
  ISSN =         "0894-1866 (print), 1558-4208 (electronic)",
  ISSN-L =       "0894-1866",
  bibdate =      "Wed Apr 10 08:46:01 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/computphys.bib",
  URL =          "https://aip.scitation.org/doi/10.1063/1.168574",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Phys",
  fjournal =     "Computers in Physics",
  journal-URL =  "https://aip.scitation.org/journal/cip",
}

@Article{Booten:1996:CLSb,
  author =       "Albert Booten and Henk van der Vorst",
  title =        "Cracking large-scale eigenvalue problems, part {II}:
                 Implementations",
  journal =      j-COMPUT-PHYS,
  volume =       "10",
  number =       "4",
  pages =        "331--??",
  month =        jul,
  year =         "1996",
  CODEN =        "CPHYE2",
  DOI =          "https://doi.org/10.1063/1.168590",
  ISSN =         "0894-1866 (print), 1558-4208 (electronic)",
  ISSN-L =       "0894-1866",
  bibdate =      "Wed Apr 10 08:46:02 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/computphys.bib",
  URL =          "https://aip.scitation.org/doi/10.1063/1.168590",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Phys",
  fjournal =     "Computers in Physics",
  journal-URL =  "https://aip.scitation.org/journal/cip",
}

@Article{Booten:1996:JDM,
  author =       "A. Booten and D. Fokkema and G. Sleijpen and H. van
                 der Vorst",
  title =        "{Jacobi--Davidson} methods for generalized
                 {MHD-eigenvalue} problems",
  journal =      j-Z-ANGE-MATH-MECH,
  volume =       "76",
  number =       "suppl. 1",
  pages =        "131--134",
  year =         "1996",
  CODEN =        "ZAMMAX",
  ISSN =         "0044-2267 (print), 1521-4001 (electronic)",
  ISSN-L =       "0044-2267",
  MRclass =      "65F15",
  MRnumber =     "MR1444385",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "ICIAM/GAMM 95 (Hamburg, 1995).",
  acknowledgement = ack-nhfb,
  fjournal =     "Zeitschrift f{\"u}r Angewandte Mathematik und
                 Mechanik",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
}

@Article{Fokkema:1996:GCG,
  author =       "Diederik R. Fokkema and Gerard L. G. Sleijpen and Henk
                 A. van der Vorst",
  title =        "Generalized conjugate gradient squared",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "71",
  number =       "1",
  pages =        "125--146",
  year =         "1996",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F10 (65F50)",
  MRnumber =     "MR1399887 (97h:65040)",
  MRreviewer =   "Cs. J. Heged{\H{u}}s",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Sleijpen:1996:JDI,
  author =       "Gerard L. G. Sleijpen and Henk A. van der Vorst",
  title =        "A {Jacobi--Davidson} Iteration Method for Linear
                 Eigenvalue Problems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "17",
  number =       "2",
  pages =        "401--425",
  month =        apr,
  year =         "1996",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479894270427",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15",
  MRnumber =     "MR1384515 (96m:65042)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/17/2;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/27042",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Sleijpen:1996:JDT,
  author =       "Gerard L. G. Sleijpen and Albert G. L. Booten and
                 Diederik R. Fokkema and Henk A. van der Vorst",
  title =        "{Jacobi--Davidson} type methods for generalized
                 eigenproblems and polynomial eigenproblems",
  journal =      j-BIT-NUM-MATH,
  volume =       "36",
  number =       "3",
  pages =        "595--633",
  month =        sep,
  year =         "1996",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  MRclass =      "65F15 (65N25)",
  MRnumber =     "MR1410100 (97k:65095)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib;
                 MathSciNet database",
  note =         "International Linear Algebra Year (Toulouse, 1995).",
  URL =          "http://www.mai.liu.se/BIT/contents/bit36.html",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Sleijpen:1996:OAS,
  author =       "Gerard L. G. Sleijpen and Henk A. van der Vorst",
  title =        "An overview of approaches for the stable computation
                 of hybrid {BiCG} methods",
  journal =      j-APPL-NUM-MATH,
  volume =       "19",
  number =       "3",
  pages =        "235--254",
  day =          "15",
  month =        jan,
  year =         "1996",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65F10",
  MRnumber =     "96k:65024",
  bibdate =      "Wed Jul 28 14:36:16 MDT 1999",
  bibsource =    "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1996&volume=19&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "Special issue on iterative methods for linear
                 equations (Atlanta, GA, 1994).",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1996&volume=19&issue=3&aid=633",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Sleijpen:1996:RUR,
  author =       "G. L. G. Sleijpen and H. A. van der Vorst",
  title =        "Reliable Updated Residuals in Hybrid {Bi-CG} Methods",
  journal =      j-COMPUTING,
  volume =       "56",
  number =       "2",
  pages =        "141--163",
  year =         "1996",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65F10",
  MRnumber =     "MR1382009 (96k:65025)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/computing.bib;
                 http://www.springer.at/springer.py?Page=40&Key=362&cat=3&id_journal=8;
                 MathSciNet database; OCLC Contents1st database",
  URL =          "http://www.springer.at/springer.py?Page=10&Key=362&cat=300607/tocs/springer.py?Page=47&Key=340&cat=3&id_abstract=291&id_volume=26&id_journal=8",
  acknowledgement = ack-nhfb,
  classification = "731.1; 921; 921.6",
  fjournal =     "Computing. Archives for Scientific Computing",
  journal-URL =  "http://link.springer.com/journal/607",
  journalabr =   "Comput Vienna New York",
  keywords =     "Convergence of numerical methods; Iterative methods;
                 Linear equations; Nonsymmetric linear systems; Problem
                 solving; Reliable updated residuals; Systems analysis",
}

@Article{VanDam:1996:IDI,
  author =       "H. J. J. {Van Dam} and J. H. {Van Lenthe} and G. L. G.
                 Sleijpen and H. A. {Van Der Vorst}",
  title =        "An improvement of {Davidson}'s iteration method:
                 Applications to {MRCI} and {MRCEPA} calculations",
  journal =      j-J-COMPUT-CHEM,
  volume =       "17",
  number =       "3",
  pages =        "267--272",
  month =        feb,
  year =         "1996",
  CODEN =        "JCCHDD",
  DOI =          "https://doi.org/10.1002/(SICI)1096-987X(199602)17:3<267::AID-JCC1>3.0.CO;2-T",
  ISSN =         "0192-8651 (print), 1096-987X (electronic)",
  ISSN-L =       "0192-8651",
  bibdate =      "Thu Nov 29 15:11:07 MST 2012",
  bibsource =    "http://www.interscience.wiley.com/jpages/0192-8651;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Chemistry",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X",
  onlinedate =   "7 Dec 1998",
}

@InProceedings{vanderVorst:1996:IMU,
  author =       "H. A. van der Vorst",
  title =        "Iterative Methods for Unsymmetric Linear Systems",
  crossref =     "Jeffery:1996:STP",
  pages =        "217--234",
  year =         "1996",
  bibdate =      "Fri Aug 22 11:59:49 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:1996:MMI,
  author =       "Henk A. van der Vorst",
  title =        "Modern methods for the iterative solution of large
                 systems of linear equations",
  journal =      j-NIEUW-ARCHIEF-WISKUNDE-4,
  volume =       "14",
  number =       "1",
  pages =        "127--143",
  year =         "1996",
  CODEN =        "NAWIA7",
  ISSN =         "0028-9825",
  MRclass =      "65F10",
  MRnumber =     "MR1400046 (97e:65035)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "31st Dutch Mathematical Conference (Groningen,
                 1995).",
  acknowledgement = ack-nhfb,
  fjournal =     "Nieuw Archief voor Wiskunde. Vierde Serie",
}

@Article{vanderVorst:1996:PFA,
  author =       "H. A. van der Vorst and G. L. G. Sleijpen",
  title =        "A Parallelizable and Fast Algorithm for Very Large
                 Generalized Eigenproblems",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1184",
  pages =        "686--??",
  year =         "1996",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Fri Aug 22 11:59:49 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{vanderVorst:1996:SIE,
  author =       "Henk van der Vorst",
  title =        "Subspace iteration for eigenproblems",
  journal =      j-CWI-QUARTERLY,
  volume =       "9",
  number =       "1-2",
  pages =        "151--160",
  year =         "1996",
  CODEN =        "????",
  ISSN =         "0922-5366",
  MRclass =      "65F15",
  MRnumber =     "MR1420028 (97i:65065)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "SMC 50 jubilee (Amsterdam, 1996).",
  acknowledgement = ack-nhfb,
  fjournal =     "Centrum voor Wiskunde en Informatica. Centre for
                 Mathematics and Computer Science. CWI Quarterly",
}

@InCollection{Chan:1997:AIF,
  author =       "Tony F. Chan and Henk A. van der Vorst",
  title =        "Approximate and incomplete factorizations",
  crossref =     "Keyes:1997:PNA",
  pages =        "167--202",
  year =         "1997",
  MRclass =      "65F35",
  MRnumber =     "MR1441577",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  series =       "ICASE/LaRC Interdiscip. Ser. Sci. Eng.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Golub:1997:CSI,
  author =       "Gene H. Golub and Henk A. van der Vorst",
  title =        "Closer to the Solution: Iterative Linear Solvers",
  crossref =     "Duff:1997:SAN",
  volume =       "63",
  pages =        "63--92",
  year =         "1997",
  MRclass =      "65F10 (15A06)",
  MRnumber =     "MR1628342 (99b:65034)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 MathSciNet database",
  series =       "Inst. Math. Appl. Conf. Ser. New Ser.",
  acknowledgement = ack-nhfb,
  annote =       "Based on papers presented at the conference",
  keywords =     "IMA; mathematics; numerical analysis",
}

@InCollection{vanderVorst:1997:IML,
  author =       "Henk A. van der Vorst",
  title =        "Iterative methods for linear systems and
                 implementation on parallel computers",
  crossref =     "Chan:1997:IMS",
  pages =        "1--44",
  year =         "1997",
  MRclass =      "65F10 (65Y05)",
  MRnumber =     "MR1661958",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{vanderVorst:1997:LSS,
  author =       "Henk A. van der Vorst and Tony F. Chan",
  title =        "Linear system solvers: sparse iterative methods",
  crossref =     "Chan:1997:IMS",
  pages =        "91--118",
  year =         "1997",
  MRclass =      "65F50 (65F10)",
  MRnumber =     "MR1441575",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{vanderVorst:1997:YOS,
  author =       "Henk A. van der Vorst and Gene H. Golub",
  title =        "150 Years Old and Still Alive: Eigenproblems",
  crossref =     "Duff:1997:SAN",
  volume =       "63",
  pages =        "93--120",
  year =         "1997",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "MR1628343 (99b:65051)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 MathSciNet database",
  series =       "Inst. Math. Appl. Conf. Ser. New Ser.",
  acknowledgement = ack-nhfb,
  annote =       "Based on papers presented at the conference",
  keywords =     "IMA; mathematics; numerical analysis",
  xxpages =      "93--119",
}

@Article{Chan:1998:TFF,
  author =       "Tony F. Chan and Lisette {de Pillis} and Henk van der
                 Vorst",
  title =        "Transpose-free formulations of {Lanczos}-type methods
                 for nonsymmetric linear systems",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "17",
  number =       "1--2",
  pages =        "51--66",
  month =        mar,
  year =         "1998",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10, 65Fxx",
  MRnumber =     "MR1628478 (99d:65101)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
                 MathSciNet database",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/31/12/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/31/12/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Book{Dongarra:1998:NLA,
  author =       "Jack J. Dongarra and Iain S. Duff and Danny C.
                 Sorensen and Henk A. van der Vorst",
  title =        "Numerical Linear Algebra for High-Performance
                 Computers",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xviii + 342",
  year =         "1998",
  ISBN =         "0-89871-428-1 (paperback), 0-89871-961-5 (e-book)",
  ISBN-13 =      "978-0-89871-428-9 (paperback), 978-0-89871-961-1
                 (e-book)",
  LCCN =         "QA76.88 .N86 1998",
  MRclass =      "65-02 (65Fxx 65G50); 65-02 (65Fxx 65G05)",
  MRnumber =     "MR1654239 (2000a:65002)",
  MRreviewer =   "Zahari Zlatev",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  series =       "Software, Environments, and Tools",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1998:PPP,
  author =       "Iain S. Duff and Henk A. {van der Vorst}",
  title =        "Preconditioning and parallel preconditioning",
  type =         "Report",
  number =       "RAL-TR-1998-052 and TR/PA/98/23",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "",
  month =        "",
  year =         "1998",
  bibdate =      "Mon Jan 02 10:45:21 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Article{Fokkema:1998:AIN,
  author =       "Diederik R. Fokkema and Gerard L. G. Sleijpen and Henk
                 A. van der Vorst",
  title =        "Accelerated Inexact {Newton} Schemes for Large Systems
                 of Nonlinear Equations",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "19",
  number =       "2",
  pages =        "657--674",
  month =        mar,
  year =         "1998",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827595296148",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65H10",
  MRnumber =     "MR1618860",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/19/2;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/29614;
                 http://epubs.siam.org/sam-bin/dbq/toc/SISC/19/2",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Fokkema:1998:JDS,
  author =       "Diederik R. Fokkema and Gerard L. G. Sleijpen and Henk
                 A. van der Vorst",
  title =        "{Jacobi--Davidson} Style {QR} and {QZ} Algorithms for
                 the Reduction of Matrix Pencils",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "20",
  number =       "1",
  pages =        "94--125",
  month =        jan,
  year =         "1998",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827596300073",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15",
  MRnumber =     "MR1639102 (99e:65061)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/20/1;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/30007;
                 http://epubs.siam.org/sam-bin/dbq/toc/SISC/20/1",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Sleijpen:1998:EES,
  author =       "Gerard L. G. Sleijpen and Henk A. van der Vorst and
                 Ellen Meijerink",
  title =        "Efficient expansion of subspaces in the
                 {Jacobi--Davidson} method for standard and generalized
                 eigenproblems",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "7",
  pages =        "75--89 (electronic)",
  year =         "1998",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "65F15",
  MRnumber =     "MR1667640 (99i:65040)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Large scale eigenvalue problems (Argonne, IL, 1997).",
  URL =          "http://etna.mcs.kent.edu/",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@InCollection{vanderVorst:1998:IBC,
  author =       "H. A. van der Vorst and G. L. G. Sleijpen",
  title =        "Iterative {Bi-CG} type methods and implementation
                 aspects",
  crossref =     "WinterAlthaus:1998:ALS",
  pages =        "217--253",
  year =         "1998",
  MRclass =      "65F10",
  MRnumber =     "MR1622104 (99f:65055)",
  MRreviewer =   "Zuhe Shen",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Botchev:1999:SCA,
  author =       "Mikhail A. Botchev and Gerard L. G. Sleijpen and Henk
                 A. van der Vorst",
  title =        "Stability control for approximate implicit time
                 stepping schemes with minimum residual iterations",
  journal =      j-APPL-NUM-MATH,
  volume =       "31",
  number =       "3",
  pages =        "239--253",
  month =        nov,
  year =         "1999",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65L20",
  MRnumber =     "MR1711173 (2000e:65077)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://www.elsevier.com/locate/issn/01689274;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 MathSciNet database",
  URL =          "http://www.elsevier.nl/gej-ng/10/10/28/46/19/17/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/10/28/46/19/17/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics. An IMACS Journal",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@TechReport{Duff:1999:DTPa,
  author =       "I. S. Duff and H. A. van der Vorst",
  title =        "Development and Trends in the Parallel Solution of
                 Linear Systems",
  type =         "Report",
  number =       "RAL-TR-1999-027",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1999",
  bibdate =      "Tue Jan 03 07:50:42 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1999:DTPb,
  author =       "Iain S. Duff and Henk A. van der Vorst",
  title =        "Developments and trends in the parallel solution of
                 linear systems",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "25",
  number =       "13--14",
  pages =        "1931--1970",
  month =        dec,
  year =         "1999",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65F10 (65F35 65Y05)",
  MRnumber =     "MR1727355 (2000h:65050)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://www.elsevier.com/locate/issn/01678191;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  URL =          "http://www.elsevier.nl/gej-ng/10/35/21/32/36/39/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/35/21/32/36/39/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing. Theory and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@InCollection{Sleijpen:1999:PE,
  author =       "Gerard L. G. Sleijpen and H. A. van der Vorst and F.
                 Wubs",
  title =        "Preconditioning for eigenproblems",
  crossref =     "Iliev:1999:RAN",
  pages =        "170--177",
  year =         "1999",
  MRclass =      "65F15",
  MRnumber =     "MR1786620",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{vanderVorst:1999:SIM,
  author =       "Henk van der Vorst",
  title =        "Subspace iteration methods with preconditioning for
                 eigenvalues of very large matrices",
  crossref =     "Iliev:1999:RAN",
  pages =        "124--134",
  year =         "1999",
  MRclass =      "65F15",
  MRnumber =     "MR1786617 (2001e:65066)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Book{Bai:2000:TSA,
  editor =       "Zhaojun Bai and James Demmel and Jack Dongarra and
                 Axel Ruhe",
  title =        "Templates for the solution of algebraic eigenvalue
                 problems: a practical guide",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xxx + 410",
  year =         "2000",
  ISBN =         "0-89871-471-0 (paperback), 0-89871-958-5 (e-book)",
  ISBN-13 =      "978-0-89871-471-5 (paperback), 978-0-89871-958-1
                 (e-book)",
  LCCN =         "QA193 .T46 2000",
  MRclass =      "65F15 (Eigenvalues, eigenvectors (numerical linear
                 algebra)); 65F50 (Sparse matrices (numerical linear
                 algebra)); 65Y05 (Parallel computation (numerical
                 methods)); 00B15 (Collections of articles of
                 miscellaneous specific interest); 65-06 (Proceedings of
                 conferences (numerical analysis)) 65F35 (Matrix norms,
                 conditioning, scaling (numerical linear algebra));
                 65F20 (Overdetermined systems, pseudoinverses
                 (numerical linear algebra)); 65-02 (65F15)",
  MRnumber =     "MR1792141 (2001k:65003)",
  MRreviewer =   "Jesse L. Barlow",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "A practical guide.",
  series =       "Software, Environments, and Tools",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0726/00059507-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0726/00059507-t.html",
  abstract =     "The book is edited and written by well-known names in
                 the field and is an excellent guide to the numerical
                 solution of eigenvalue problems. It presents the many
                 available methods in an organized fashion.\par

                 Chapter 1 is introductory. Chapter 2 provides the top
                 level of a decision tree for classifying eigenvalue
                 problems and their corresponding numerical methods.
                 Chapter 3 summarizes the two mathematical principles
                 used by most algorithms for large eigenvalue problems:
                 projection onto subspaces and spectral
                 transformations.\par

                 Chapters 4 through 9 give details for each of the six
                 categories of eigenvalue problems: Hermitian,
                 generalized Hermitian, non-Hermitian, generalized
                 non-Hermitian, and nonlinear eigenvalue problems, and
                 the singular value decomposition. The descriptions
                 include algorithm templates and pointers to available
                 software. Chapter 10 describes common isues of sparse
                 matrix representation and computation, both
                 sequentially and in parallel, shared by all algorithms.
                 Chapter 11 describes some preconditioning techniques
                 that are subject of current research.\par

                 The subjects not covered by the book are referenced for
                 the interested reader.",
  acknowledgement = ack-nhfb,
  keywords =     "Algebraic eigenvalue problems; algorithms; nonlinear
                 eigenvalue problems; parallel computation;
                 preconditioning; projection methods; singular value
                 decomposition; software; spectral transformations;
                 templates; textbook",
  reviewer =     "Plamen Yordanov Yalamov (Russe)",
  subject =      "Eigenvalues; Data processing",
  summary =      "Large-scale problems of engineering and scientific
                 computing often require solutions of eigenvalue and
                 related problems. This book gives a unified overview of
                 theory, algorithms, and practical software for
                 eigenvalue problems. It organizes this large body of
                 material to make it accessible for the first time to
                 the many nonexpert users who need to choose the best
                 state-of-the-art algorithms and software for their
                 problems. Using an informal decision tree, just enough
                 theory is introduced to identify the relevant
                 mathematical structure that determines the best
                 algorithm for each problem.",
  tableofcontents = "List of symbols and acronyms \\
                 List of iterative algorithm templates \\
                 List of direct algorithms \\
                 List of figures \\
                 List of tables \\
                 1. Introduction \\
                 2. A brief tour of eigenproblems \\
                 3. an introduction to iterative projection methods \\
                 4. Hermitian eigenvalue problems \\
                 5. Generalized hermitian eigenvalue problems \\
                 6. Singular value decomposition \\
                 7. Non-hermitian eigenvalue problems \\
                 8. Generalized non-hermitian eigenvalue problems \\
                 9. Nonlinear eigenvalue problems \\
                 10. Common issues \\
                 11. Preconditioning techniques \\
                 Appendix. Of things not treated \\
                 Bibliography \\
                 Index",
}

@Article{Bomhof:2000:PLS,
  author =       "C. W. Bomhof and H. A. van der Vorst",
  title =        "A parallel linear system solver for circuit simulation
                 problems",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "7",
  number =       "7--8",
  pages =        "649--665",
  month =        oct # "\slash " # dec,
  year =         "2000",
  CODEN =        "NLAAEM",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65F10 (65Y05)",
  MRnumber =     "MR1802364 (2001g:65029)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
                 http://www3.interscience.wiley.com/journalfinder.html;
                 MathSciNet database",
  note =         "Preconditioning techniques for large sparse matrix
                 problems in industrial applications (Minneapolis, MN,
                 1999).",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract/73505475/START;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=73505475&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}

@Article{Golub:2000:ECC,
  author =       "Gene H. Golub and Henk A. van der Vorst",
  title =        "Eigenvalue computation in the 20th century",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "123",
  number =       "1--2",
  pages =        "35--65",
  year =         "2000",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/S0377-0427(00)00413-1",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F15 (65-02)",
  MRnumber =     "MR1798518 (2001j:65064)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Numerical analysis 2000, Vol. III. Linear algebra.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Book{Hadjidimos:2000:NAV,
  editor =       "Apostolos Hadjidimos and Henk van der Vorst",
  title =        "Numerical analysis 2000. {Vol. III}. {Linear}
                 algebra",
  publisher =    pub-ELSEVIER-SCIENCE,
  address =      pub-ELSEVIER-SCIENCE:adr,
  pages =        "i--xii and 1--531",
  year =         "2000",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  MRclass =      "65-06 (65Fxx)",
  MRnumber =     "MR1798517 (2001f:65003)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "J. Comput. Appl. Math. {\bf 123} (2000), no. 1--2.",
  acknowledgement = ack-nhfb,
}

@InProceedings{mongaMade:2000:PFP,
  author =       "Mardoch{\'e}e Magolu monga Made and Henk van der
                 Vorst",
  title =        "{ParIC}: a Family of Parallel Incomplete {Cholesky}
                 Preconditioners",
  crossref =     "Bubak:2000:HPC",
  pages =        "89--98",
  year =         "2000",
  bibdate =      "Tue Jan 23 23:47:11 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/conf/hpcn/hpcn2000.html#MadeV00;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://www.springerlink.com/link.asp?id=2lg1kttr7w3qmwfc;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0302-9743&volume=1823&spage=89",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#conf/hpcn/MadeV00",
}

@Article{Saad:2000:ISL,
  author =       "Yousef Saad and Henk A. van der Vorst",
  title =        "Iterative solution of linear systems in the 20th
                 century",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "123",
  number =       "1--2",
  pages =        "1--33",
  year =         "2000",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F10 (65-02)",
  MRnumber =     "MR1798516 (2001j:65057)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Numerical analysis 2000, Vol. III. Linear algebra.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Sleijpen:2000:DER,
  author =       "Gerard L. G. Sleijpen and Henk A. van der Vorst and
                 Jan Modersitzki",
  title =        "Differences in the Effects of Rounding Errors in
                 {Krylov} Solvers for Symmetric Indefinite Linear
                 Systems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "3",
  pages =        "726--751 (electronic)",
  year =         "2000",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479897323087",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F10 (65N12)",
  MRnumber =     "MR1785632 (2001j:65058)",
  MRreviewer =   "Larisa V. Maslovskaya",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/32308;
                 http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/3",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Sleijpen:2000:JDI,
  author =       "Gerard L. G. Sleijpen and Henk A. van der Vorst",
  title =        "A {Jacobi--Davidson} Iteration Method for Linear
                 Eigenvalue Problems",
  journal =      j-SIAM-REVIEW,
  volume =       "42",
  number =       "2",
  pages =        "267--293 (electronic)",
  month =        jun,
  year =         "2000",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144599363084",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65F15",
  MRnumber =     "MR1778354 (2001d:65049)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/42/2;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/36308",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{vanderVorst:2000:KSI,
  author =       "Henk A. van der Vorst",
  title =        "{Krylov} Subspace Iteration",
  journal =      j-COMPUT-SCI-ENG,
  volume =       "2",
  number =       "1",
  pages =        "32--37",
  month =        jan # "\slash " # feb,
  year =         "2000",
  CODEN =        "CSENFA",
  ISSN =         "1521-9615 (print), 1558-366X (electronic)",
  ISSN-L =       "1521-9615",
  bibdate =      "Fri Oct 13 14:31:09 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/computscieng.bib",
  URL =          "http://dlib.computer.org/cs/books/cs2000/pdf/c1032.pdf;
                 http://www.computer.org/cse/cs1999/c1032abs.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Computing in Science and Engineering",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992",
}

@Article{vanderVorst:2000:RRS,
  author =       "Henk A. van der Vorst and Qiang Ye",
  title =        "Residual Replacement Strategies for {Krylov} Subspace
                 Iterative Methods for the Convergence of True
                 Residuals",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "22",
  number =       "3",
  pages =        "835--852",
  month =        may,
  year =         "2000",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827599353865",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Fri Oct 27 13:32:34 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/22/3;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/35386",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@InProceedings{vanderVorst:2000:SPM,
  author =       "Henk A. van der Vorst",
  title =        "Solution of {$ f(A) x = b $} with Projection Methods
                 for the Matrix {$A$}",
  crossref =     "Frommer:2000:NCL",
  volume =       "15",
  pages =        "18--28",
  year =         "2000",
  DOI =          "https://doi.org/10.1007/978-3-642-58333-9_2",
  bibdate =      "Fri Dec 21 16:05:41 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncse.bib",
  URL =          "http://link.springer.com/chapter/10.1007/978-3-642-58333-9_2/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/978-3-642-58333-9",
  book-URL =     "http://www.springerlink.com/content/978-3-642-58333-9",
  cnnumber =     "CN036426070",
}

@Article{vanDorsselaer:2000:CPB,
  author =       "Jos L. M. van Dorsselaer and Michiel E. Hochstenbach
                 and Henk A. van der Vorst",
  title =        "Computing probabilistic bounds for extreme eigenvalues
                 of symmetric matrices with the {Lanczos} method",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "3",
  pages =        "837--852",
  year =         "2000",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479800366859",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (15A42)",
  MRnumber =     "MR1799527 (2001j:65061)",
  MRreviewer =   "Jin Yun Yuan",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/36685",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Bomhof:2001:PGT,
  author =       "W. Bomhof and H. A. van der Vorst",
  title =        "A Parallelizable {GMRES}-type Method for $p$-cyclic
                 Matrices, with Applications in Circuit Simulation",
  crossref =     "VanRienen:2001:SCE",
  pages =        "293--300",
  year =         "2001",
  MRclass =      "65F10 (65L80 94C05)",
  MRnumber =     "MR1945388 (2003m:65038)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncse.bib;
                 MathSciNet database",
  series =       ser-LNCSE,
  acknowledgement = ack-nhfb,
  cnnumber =     "CN040577257",
}

@Article{Botchev:2001:PNI,
  author =       "Mike A. Botchev and Henk A. van der Vorst",
  title =        "A parallel nearly implicit time-stepping scheme",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "137",
  number =       "2",
  pages =        "229--243",
  year =         "2001",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65Y05 (65L05 65M20 65Y20 68Q25)",
  MRnumber =     "MR1865229",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Dongarra:2001:ISB,
  author =       "Jack Dongarra and Victor Eijkhout and Henk van der
                 Vorst",
  title =        "An iterative solver benchmark",
  journal =      j-SCI-PROG,
  volume =       "9",
  number =       "4",
  pages =        "223--231",
  year =         "2001",
  CODEN =        "SCIPEV",
  ISSN =         "1058-9244 (print), 1875-919X (electronic)",
  ISSN-L =       "1058-9244",
  bibdate =      "Sat Oct 26 14:52:27 MDT 2002",
  bibsource =    "ftp://ftp.ira.uka.de/bibliography/Misc/Bibnet/authors/d/dongarra-jack-j.bib;
                 http://www.iospress.nl/site/html/10589244.html;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/sciprogram.bib",
  URL =          "http://iospress.metapress.com/app/home/contribution.asp%3Fwasp=64t4wprhwk589ellmv56%26referrer=parent%26backto=issue%2C3%2C4%3Bjournal%2C3%2C12%3Blinkingpublicationresults%2C1%2C1;
                 http://www.netlib.org/utk/people/JackDongarra/PAPERS/sparse-bench.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Scientific Programming",
  journal-URL =  "http://iospress.metapress.com/content/1058-9244",
}

@Article{Made:2001:GDD,
  author =       "M. {Magolu monga Made} and H. A. van der Vorst",
  title =        "A generalized domain decomposition paradigm for
                 parallel incomplete {LU} factorization
                 preconditionings",
  journal =      j-FUT-GEN-COMP-SYS,
  volume =       "17",
  number =       "8",
  pages =        "925--932",
  month =        jun,
  year =         "2001",
  CODEN =        "FGSEVI",
  ISSN =         "0167-739X (print), 1872-7115 (electronic)",
  ISSN-L =       "0167-739X",
  bibdate =      "Wed Feb 27 12:41:22 MST 2002",
  bibsource =    "http://www.elsevier.com/locate/issn/0167739X;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/futgencompsys.bib",
  URL =          "http://www.elsevier.com/gej-ng/10/19/19/45/35/28/abstract.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Future Generation Computer Systems",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0167739X",
}

@Article{mongaMade:2001:PIF,
  author =       "Mardoch{\'e}e Magolu monga Made and Henk A. van der
                 Vorst",
  title =        "Parallel incomplete factorizations with
                 pseudo-overlapped subdomains",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "27",
  number =       "8",
  pages =        "989--1008",
  day =          "??",
  month =        jul,
  year =         "2001",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65F35 (65Y05)",
  MRnumber =     "MR1831757",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://www.elsevier.com/locate/issn/01678191;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib;
                 MathSciNet database",
  URL =          "http://www.elsevier.nl/gej-ng/10/35/21/47/34/24/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/35/21/47/34/24/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing. Theory and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@Article{Sleijpen:2001:DER,
  author =       "Gerard L. G. Sleijpen and Henk A. van der Vorst and
                 Jan Modersitzki",
  title =        "Differences in the Effects of Rounding Errors in
                 {Krylov} Solvers for Symmetric Indefinite Linear
                 Systems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "3",
  pages =        "726--751",
  month =        jul,
  year =         "2001",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Oct 27 07:23:39 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/3;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/32308",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{vanderVorst:2001:TNA,
  author =       "Henk A. van der Vorst and Rob Bisseling and Iain S.
                 Duff and Bernard J. Philippe",
  title =        "Topic 11 Numerical Algorithms",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "2150",
  pages =        "566--??",
  year =         "2001",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Sat Feb 2 13:05:53 MST 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t2150.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2001c.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/2150/21500566.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/2150/21500566.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{vanDorsselaer:2001:CPB,
  author =       "Jos L. M. van Dorsselaer and Michiel E. Hochstenbach
                 and Henk A. van der Vorst",
  title =        "Computing Probabilistic Bounds for Extreme Eigenvalues
                 of Symmetric Matrices with the {Lanczos} Method",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "3",
  pages =        "837--852",
  month =        jul,
  year =         "2001",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Wed Oct 23 08:36:30 MDT 2002",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/36685",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Duff:2002:NA,
  author =       "I. S. Duff and W. Borchers and L. Giraud and H. A. van
                 der Vorst",
  title =        "Numerical Algorithms",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "2400",
  pages =        "675--??",
  year =         "2002",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Tue Sep 10 19:10:14 MDT 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t2400.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2002c.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/2400/24000675.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/2400/24000675.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@InCollection{Genseberger:2002:OSM,
  author =       "M. Genseberger and G. L. G. Sleijpen and H. A. van der
                 Vorst",
  title =        "An optimized {Schwarz} method in the
                 {Jacobi--Davidson} method for eigenvalue problems",
  crossref =     "Herrera:2002:DDM",
  pages =        "289--296 (electronic)",
  year =         "2002",
  MRclass =      "65N25 (65N55)",
  MRnumber =     "MR2099436",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{mongaMade:2002:SAP,
  author =       "M. Magolu monga Made and Henk A. van der Vorst",
  title =        "Spectral analysis of parallel incomplete
                 factorizations with implicit pseudo-overlap",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "9",
  number =       "1",
  pages =        "45--64",
  month =        jan # "\slash " # feb,
  year =         "2002",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.247",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65F10 (65F50 65Y05)",
  MRnumber =     "MR1874782 (2002k:65057)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
                 http://www3.interscience.wiley.com/journalfinder.html;
                 MathSciNet database",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract/88013649/START;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=88013649&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}

@Article{vandenEshof:2002:NMQ,
  author =       "J. van den Eshof and A. Frommer and Th. Lippert and K.
                 Schilling and H. A. van der Vorst",
  title =        "Numerical methods for the {QCDd} overlap operator.
                 {I}. {Sign}-function and error bounds",
  journal =      j-COMP-PHYS-COMM,
  volume =       "146",
  number =       "2",
  pages =        "203--224",
  day =          "1",
  month =        jul,
  year =         "2002",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(02)00455-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Dec 30 11:46:43 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465502004551",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{vanderVorst:2002:CMC,
  author =       "Henk van der Vorst and Iain Duff and Howard Elman and
                 Ronal Freund and Tim Kelley and Seymour Parter and
                 Gerhard Starke and Nick Trefethen and Panayot
                 Vassilevski and Homer Walker and Olof Widlund",
  title =        "{2000 Copper Mountain Conference}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "23",
  number =       "2",
  pages =        "vii--vii",
  month =        mar,
  year =         "2002",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Jul 25 09:55:57 MDT 2001",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97414",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@InCollection{vanderVorst:2002:CML,
  author =       "Henk A. van der Vorst",
  title =        "Computational methods for large eigenvalue problems",
  crossref =     "Anonymous:2002:HNA",
  pages =        "3--179",
  year =         "2002",
  MRclass =      "65F15 (65-02)",
  MRnumber =     "MR1893417 (2003e:65058)",
  MRreviewer =   "Marlis Hochbruck",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:2002:ERI,
  author =       "Henk A. van der Vorst",
  title =        "Efficient and reliable iterative methods for linear
                 systems",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "149",
  number =       "1",
  pages =        "251--265",
  year =         "2002",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F10 (65-02)",
  MRnumber =     "MR1952975",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Scientific and engineering computations for the 21st
                 century---methodologies and applications (Shizuoka,
                 2001).",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Hochstenbach:2003:ARQ,
  author =       "Michiel E. Hochstenbach and Henk A. van der Vorst",
  title =        "Alternatives to the {Rayleigh} Quotient for the
                 Quadratic Eigenvalue Problem",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "25",
  number =       "2",
  pages =        "591--603 (electronic)",
  month =        mar,
  year =         "2003",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827502406403",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "MR2058077 (2005g:65070)",
  MRreviewer =   "Rafael Bru",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/2;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/40640",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@TechReport{Rommes:2003:JDM,
  author =       "J. Rommes and H. A. van der Vorst and E. J. W. ter
                 Maten",
  title =        "{Jacobi--Davidson} methods and preconditioning with
                 applications in pole-zero analysis",
  type =         "Reports on applied and numerical analysis",
  number =       "{RANA 03-02}",
  institution =  "Department of Mathematics and Computer Science,
                 Eindhoven University of Technology",
  address =      "Eindhoven, The Netherlands",
  pages =        "5",
  year =         "2003",
  ISSN =         "0926-4507",
  bibdate =      "Sat Dec 31 10:47:22 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:2003:CMC,
  author =       "Henk van der Vorst and Iain Duff and Howard Elman and
                 Ronal Freund and Tim Kelley and Seymour Parter and
                 Gerhard Starke and Nick Trefethen and Panayot
                 Vassilevski and Homer Walker and Olof Widlund",
  title =        "{2002 Copper Mountain Conference}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "25",
  number =       "2",
  pages =        "vii--vii",
  month =        mar,
  year =         "2003",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65-06",
  MRnumber =     "MR2062261",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/2;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
                 MathSciNet database",
  note =         "Held in Copper Mountain, CO, March 24--29, 2002.",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97415",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Book{vanderVorst:2003:IKM,
  author =       "Henk A. van der Vorst",
  title =        "Iterative {Krylov} methods for large linear systems",
  volume =       "13",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xiv + 221",
  year =         "2003",
  ISBN =         "0-521-81828-1 (print), 0-511-61511-6 (e-book)",
  ISBN-13 =      "978-0-521-81828-5 (print), 978-0-511-61511-5
                 (e-book)",
  LCCN =         "QA297.8 .V67 2003",
  MRclass =      "65F10 (65F50)",
  MRnumber =     "MR1990752 (2005k:65075)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  series =       "Cambridge Monographs on Applied and Computational
                 Mathematics",
  URL =          "http://ebooks.cambridge.org/chapter.jsf?bid=CBO9780511615115",
  acknowledgement = ack-nhfb,
  tableofcontents = "Frontmatter: pp. i--vi \\
                 Contents: pp. vii--x \\
                 Preface: pp. xi--xiv \\
                 1: Introduction: pp. 1--14 \\
                 2: Mathematical preliminaries: 15--20 \\
                 3: Basic iteration methods: 21--32 \\
                 4: Construction of approximate solutions: 33--36 \\
                 5: The Conjugate Gradients method: 37--64 \\
                 6: GMRES and MINRES: 65--94 \\
                 7: Bi--Conjugate Gradients: 95--114 \\
                 8: How serious is irregular convergence?: 115--132 \\
                 9: Bi--CGSTAB: 133--146 \\
                 10: Solution of singular systems: 147--150 \\
                 11: Solution of f (A)x = b with Krylov subspace
                 information: 151--158 \\
                 12: Miscellaneous: 159--172 \\
                 13: Preconditioning: 173--204 \\
                 References: 205--218 \\
                 Index: 219--221",
}

@InCollection{Brandts:2004:CKM,
  author =       "Jan Brandts and Henk van der Vorst",
  title =        "The convergence of {Krylov} methods and {Ritz}
                 values",
  crossref =     "Krizek:2004:CGA",
  pages =        "47--68",
  year =         "2004",
  MRclass =      "65F10",
  MRnumber =     "MR2082554 (2005i:65041)",
  MRreviewer =   "Alain Pi{\'e}trus",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  series =       "Sci. Comput.",
  acknowledgement = ack-nhfb,
}

@InCollection{Rommes:2004:JDM,
  author =       "J. Rommes and H. A. van der Vorst and E. J. W. ter
                 Maten",
  title =        "{Jacobi--Davidson} methods and preconditioning with
                 applications in pole-zero analysis",
  crossref =     "Buikis:2004:PIM",
  pages =        "191--196",
  year =         "2004",
  MRclass =      "65F15 (94C05)",
  MRnumber =     "MR2061032",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InCollection{vanderVorst:2004:ISM,
  author =       "Henk A. {van der Vorst}",
  booktitle =    "Applied mathematics entering the 21st century",
  title =        "Iterative solution methods: aims, tools,
                 craftmanship",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "371--392",
  year =         "2004",
  MRclass =      "65F10",
  MRnumber =     "2296276 (2008c:65096)",
  MRreviewer =   "Koffi B. Fadimba",
  bibdate =      "Mon Aug 23 18:45:13 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:2004:MMI,
  author =       "Henk A. van der Vorst",
  title =        "Modern methods for the iterative computation of
                 eigenpairs of matrices of high dimension",
  journal =      j-Z-ANGE-MATH-MECH,
  volume =       "84",
  number =       "7",
  pages =        "444--451",
  year =         "2004",
  CODEN =        "ZAMMAX",
  ISSN =         "0044-2267 (print), 1521-4001 (electronic)",
  ISSN-L =       "0044-2267",
  MRclass =      "65F15",
  MRnumber =     "MR2069911 (2005d:65060)",
  MRreviewer =   "David Scott Watkins",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "ZAMM. Zeitschrift f{\"u}r Angewandte Mathematik und
                 Mechanik. Journal of Applied Mathematics and
                 Mechanics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
}

@Article{Bus:2005:GNI,
  author =       "Evelien Bus",
  title =        "Gigantic nameplates---interview with {Henk van der
                 Vorst}",
  journal =      j-NIEUW-ARCHIEF-WISKUNDE-5,
  volume =       "6",
  number =       "1",
  pages =        "76--80",
  year =         "2005",
  CODEN =        "NAWIA7",
  ISSN =         "0028-9825",
  MRclass =      "01A70",
  MRnumber =     "MR2131965",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Nieuw Archief voor Wiskunde. Vijfde Serie",
}

@InCollection{Schenk:2005:SLS,
  author =       "O. Schenk and H. A. van der Vorst",
  title =        "Solution of linear systems",
  crossref =     "Schilders:2005:SVN",
  pages =        "755--824",
  year =         "2005",
  MRclass =      "65F05 (65F10)",
  MRnumber =     "MR2146975",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:2005:NCM,
  author =       "Henk van der Vorst",
  title =        "The need for a critical mind---in memoriam {Abraham
                 van der Sluis} (1928--2004)",
  journal =      j-NIEUW-ARCHIEF-WISKUNDE-5,
  volume =       "6",
  number =       "1",
  pages =        "17--19",
  year =         "2005",
  CODEN =        "NAWIA7",
  ISSN =         "0028-9825",
  MRclass =      "01A70",
  MRnumber =     "MR2131962",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Nieuw Archief voor Wiskunde. Vijfde Serie",
}

@InProceedings{vanderVorst:2008:LSE,
  author =       "Henk van der Vorst",
  title =        "Linear systems, eigenvalues, and projection",
  crossref =     "Schilders:2008:MOR",
  pages =        "33--45",
  year =         "2008",
  DOI =          "https://doi.org/10.1007/978-3-540-78841-6_2",
  MRclass =      "65F10 (15A06 65F15 65F25 65F35 65F50)",
  MRnumber =     "2497743 (2010f:65074)",
  MRreviewer =   "Ilse C. F. Ipsen",
  bibdate =      "Mon Aug 23 18:48:49 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Book{vanderVorst:2009:IKM,
  author =       "Henk A. van der Vorst",
  title =        "Iterative {Krylov} methods for large linear systems",
  volume =       "13",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xiv + 221",
  year =         "2009",
  ISBN =         "0-521-18370-7",
  ISBN-13 =      "978-0-521-18370-3",
  MRclass =      "65F10 (65F08 65F50)",
  MRnumber =     "2567993 (2010k:65066)",
  MRreviewer =   "Melina A. Freitag",
  bibdate =      "Mon Aug 23 18:48:40 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "Reprint of the 2003 original",
  series =       "Cambridge Monographs on Applied and Computational
                 Mathematics",
  acknowledgement = ack-nhfb,
}

%%% ====================================================================
%%% Cross-referenced entries must come last:
@Proceedings{Hinze:1982:NID,
  editor =       "J{\"u}rgen Hinze",
  booktitle =    "{Numerical integration of differential equations and
                 large linear systems: proceedings of two workshops held
                 at the University of Bielefeld, Spring 1980}",
  title =        "{Numerical integration of differential equations and
                 large linear systems: proceedings of two workshops held
                 at the University of Bielefeld, Spring 1980}",
  volume =       "968",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vi + 412",
  year =         "1982",
  ISBN =         "0-387-11970-1",
  ISBN-13 =      "978-0-387-11970-0",
  LCCN =         "QA3 .L28 no. 968; QA370",
  bibdate =      "Sat Dec 31 09:44:28 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       ser-LNM,
  acknowledgement = ack-nhfb,
  subject =      "Differential equations; Numerical solutions; Data
                 processing; Congresses; Differential equations,
                 Partial; Numerical integration; Finite differences;
                 Linear systems",
}

@Book{Evans:1983:PMA,
  editor =       "David J. Evans",
  booktitle =    "Preconditioning methods: analysis and applications",
  title =        "Preconditioning methods: analysis and applications",
  volume =       "1",
  publisher =    pub-GORDON-BREACH,
  address =      pub-GORDON-BREACH:adr,
  pages =        "xi + 556",
  year =         "1983",
  ISBN =         "0-677-16320-7",
  ISBN-13 =      "978-0-677-16320-8",
  ISSN =         "0275-5815",
  LCCN =         "QA374 .P7 1983",
  bibdate =      "Sat Dec 31 08:40:50 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.bibsys.no:2100/BIBSYS;
                 z3950.loc.gov:7090/Voyager",
  series =       "Topics in computer mathematics",
  acknowledgement = ack-nhfb,
}

@Book{vanLeeuwen:1985:PCC,
  editor =       "J. van Leeuwen and J. K. Lenstra",
  booktitle =    "Parallel computers and computations",
  title =        "Parallel computers and computations",
  volume =       "9",
  publisher =    pub-CWI,
  address =      pub-CWI:adr,
  pages =        "184",
  year =         "1985",
  ISBN =         "90-6196-297-8",
  ISBN-13 =      "978-90-6196-297-7",
  LCCN =         "QA76.6 .P3485 1985",
  bibdate =      "Sat Dec 31 08:49:18 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 melvyl.cdlib.org:210/CDL90; z3950.gbv.de:20011/gvk",
  series =       "CWI syllabus",
  acknowledgement = ack-nhfb,
  tableofcontents = "Parallel computers and algorithms / J. van
                 Leeuwen\par

                 Comparative performance tests of Fortran codes on the
                 Cray-1 and Cyber 205 / H. A. van der Vorst\par

                 Parallel algorithms in computational linear algebra /
                 D. J. Evans\par

                 An internal view of the Cyber 205 operating system / C.
                 J. Purcell\par

                 An overview of the Amoeba distributed operating system
                 / A. S. Tanenbaum, S. J. Mullender\par

                 Trace theory and the design of the concurrent
                 computations / M. Rem\par

                 The second machine class : models of parallelism / P.
                 van Emde Boas\par

                 An introduction to parallelism in combinatorial
                 optimization / G. A. P. Kindervater, J. K. Lenstra.",
}

@Proceedings{Lichnewsky:1987:SSA,
  editor =       "A. Lichnewsky and C. Saguez",
  booktitle =    "Supercomputing: state-of-the-art",
  title =        "Supercomputing: state-of-the-art",
  publisher =    pub-NH,
  address =      pub-NH:adr,
  pages =        "viii + 479",
  year =         "1987",
  ISBN =         "0-444-70320-9",
  ISBN-13 =      "978-0-444-70320-0",
  LCCN =         "QA76.5 .S898 1987",
  bibdate =      "Sat Dec 31 10:51:41 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  remark =       "Proceedings of a seminar. Institut national de
                 recherche en informatique et en automatique.",
  subject =      "Supercomputers; Congresses",
}

@Book{Nolet:1987:STA,
  editor =       "Guust Nolet",
  booktitle =    "Seismic tomography: with applications in global
                 seismology and exploration geophysics",
  title =        "Seismic tomography: with applications in global
                 seismology and exploration geophysics",
  publisher =    pub-REIDEL,
  address =      pub-REIDEL:adr,
  pages =        "x + 386",
  year =         "1987",
  ISBN =         "90-277-2521-7 (paperback)",
  ISBN-13 =      "978-90-277-2521-9 (paperback)",
  LCCN =         "QE538.5 .S429 1987",
  bibdate =      "Sat Dec 31 08:48:41 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Seismology and exploration geophysics",
  acknowledgement = ack-nhfb,
  subject =      "Seismic tomography",
}

@Proceedings{teRiele:1987:AAV,
  editor =       "H. J. J. {te Riele} and T. J. Dekker and H. A. {van
                 der Vorst}",
  booktitle =    "{Algorithms and applications on vector and parallel
                 computers: Colloquium on Numerical Aspects of Vector
                 and Parallel Processors (1985--1986, Amsterdam, The
                 Netherlands)}",
  title =        "{Algorithms and applications on vector and parallel
                 computers: Colloquium on Numerical Aspects of Vector
                 and Parallel Processors (1985--1986, Amsterdam, The
                 Netherlands)}",
  volume =       "3(3)",
  publisher =    pub-ELSEVIER-SCIENCE,
  address =      pub-ELSEVIER-SCIENCE:adr,
  pages =        "xi + 457",
  year =         "1987",
  ISBN =         "0-444-70322-5 (US)",
  ISBN-13 =      "978-0-444-70322-4 (US)",
  LCCN =         "QA76.6 .A45851 1987",
  MRclass =      "65-06 (68-06)",
  MRnumber =     "MR974118 (89f:65002)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/super.bib;
                 MathSciNet database",
  series =       "Special Topics in Supercomputing",
  acknowledgement = ack-nhfb,
  annote =       "Papers based on the lectures presented at the
                 Colloquium on Numerical Aspects of Vector and Parallel
                 Processors, held at the Centre for Mathematics and
                 Computer Science, Amsterdam on each last Friday of the
                 month in the period Sept. 1985-June 1986.",
  keywords =     "Algorithms; Computer algorithms; Computer systems ---
                 Parallel-processor systems --- Programming; Electronic
                 digital computers --- Programming; Supercomputers",
}

@Proceedings{Gruber:1989:PFI,
  editor =       "R. (Ralf) Gruber and J. (Jacques) Periaux and R. P.
                 (Richard Paul) Shaw",
  booktitle =    "Proceedings of the Fifth International Symposium on
                 Numerical Methods in Engineering",
  title =        "Proceedings of the Fifth International Symposium on
                 Numerical Methods in Engineering",
  publisher =    "Computational Mechanics",
  address =      "Southampton, UK",
  pages =        "808 (vol. 1), 618 (vol. 2)",
  year =         "1989",
  ISBN =         "1-85312-041-3, 0-945824-24-6, 3-540-51589-5,
                 0-387-51589-5",
  ISBN-13 =      "978-1-85312-041-1, 978-0-945824-24-4,
                 978-3-540-51589-0, 978-0-387-51589-2",
  LCCN =         "M90.E00482; QA297; M90.E01501",
  bibdate =      "Sat Dec 31 08:53:14 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 library.ox.ac.uk:210/ADVANCE",
  acknowledgement = ack-nhfb,
  meetingname =  "International Symposium on Numerical Methods in
                 Engineering 1989: Lausanne, Switzerland) (5th)",
  subject =      "Engineering mathematics; Congresses; Numerical
                 analysis",
}

@Proceedings{Axelsson:1990:PCG,
  editor =       "Owe Axelsson and Lily Yu. Kolotilina",
  booktitle =    "{Preconditioned Conjugate Gradient Methods:
                 Proceedings of a Conference Held in Nijmegen, the
                 Netherlands, June 19--21, 1989}",
  title =        "{Preconditioned Conjugate Gradient Methods:
                 Proceedings of a Conference Held in Nijmegen, the
                 Netherlands, June 19--21, 1989}",
  volume =       "1457",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "196",
  year =         "1990",
  ISBN =         "0-387-53515-2 (New York), 3-540-53515-2 (Berlin)",
  ISBN-13 =      "978-0-387-53515-9 (New York), 978-3-540-53515-7
                 (Berlin)",
  LCCN =         "QA3 .L28 no. 1457",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  series =       ser-LNM,
  mynote =       "Proc conf Nijmegen, Neth., June 1989. Little of
                 interest.",
}

@Book{vanderVorst:1990:PAN,
  editor =       "Henk A. van der Vorst and Paul Van Dooren",
  booktitle =    "Parallel algorithms for numerical linear algebra",
  title =        "Parallel algorithms for numerical linear algebra",
  volume =       "1",
  publisher =    pub-NH,
  address =      pub-NH:adr,
  pages =        "x + 330",
  year =         "1990",
  ISBN =         "0-444-88621-4",
  ISBN-13 =      "978-0-444-88621-7",
  LCCN =         "QA76.5 .P31458 1990",
  MRclass =      "65-06 (65Fxx 65Y05)",
  MRnumber =     "MR1068142 (91f:65005)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database; z3950.loc.gov:7090/Voyager",
  series =       "Advances in Parallel Computing",
  acknowledgement = ack-nhfb,
  remark =       "Reprinted from the Journal of computational and
                 applied mathematics, vol. 27, numbers 1 and 2
                 (September 1989).",
  subject =      "Parallel algorithms; Parallel processing (Electronic
                 computers); Algebras, Linear; Numerical calculations",
  tableofcontents = "Preface / H. van der Vorst and P. van Dooren\par

                 A quadratically convergent parallel Jacobi process for
                 diagonally dominant matrices with distinct eigenvalues
                 / M. H. C. Paardekooper\par

                 A Jacobi-like algorithm for computing the generalized
                 Schur form of a regular pencil / J.-P. Charlier and P.
                 van Dooren\par

                 Canonical correlations and generalized SVD :
                 applications and new algorithms / L. M. Ewerbring and
                 F. T. Luk\par

                 From Bareiss' algorithm to the stable computation of
                 partial correlations / J.-M. Delosme and I. C. F.
                 Ipsen\par

                 A recursive doubling algorithm for solution of
                 tridiagonal systems on hypercube multiprocessors / ?.
                 Egecioglu, C. K. Koc and A. J. Laub - Least squares
                 modifications with inverse factorizations : parallel
                 implications / C.-T. Pan and R. J. Plemmons. Solution
                 of sparse positive definite systems on a hypercube / A.
                 George ... [et al.]\par

                 Some aspects of parallel implementation of the
                 finite-element method on message passing architectures
                 / I. Babuska and H. C. Elman\par

                 An overview of parallel algorithms for the singular
                 value and symmetric eigenvalue problems / M. Berry and
                 A. Sameh\par

                 Block reduction of matrices to condensed forms for
                 eigenvalue computations / J. J. Dongarra, S. J.
                 Hammarling and D. C. Sorensen\par

                 Multiprocessing a sparse matrix code on the Alliant
                 FX-8 / I. S. Duff\par

                 Vector and parallel methods for the direct solution of
                 Poisson's equation / P. N. Swartztrauber and R. A.
                 Sweet\par

                 Factoring with the quadratic sieve on large vector
                 computers / H. te Riele, W. Lioen and D. Winter.
                 Efficient vectorizable PDE solvers / W. Sch?nauer and
                 R. Weiss\par

                 Vectorizable preconditioners for elliptic difference
                 equations in three space dimensions / O. Axelsson and
                 V. Eijkhout\par

                 Solving 3D block bidiagonal linear systems on vector
                 computers / J. J. F. M. Schlichting and H. A. van der
                 Vorst.",
}

@Proceedings{Fichtner:1991:SSD,
  editor =       "Wolfgang Fichtner and D{\"o}lf Aemmer",
  booktitle =    "{Simulation of semiconductor devices and processes,
                 volume 4: proceedings of the 4th International
                 Conference on Simulation of Semiconductor Devices and
                 Processes held at the Federal Institute of Technology,
                 Z{\"u}rich, Switzerland on September 12--14, 1991}",
  title =        "{Simulation of semiconductor devices and processes,
                 volume 4: proceedings of the 4th International
                 Conference on Simulation of Semiconductor Devices and
                 Processes held at the Federal Institute of Technology,
                 Z{\"u}rich, Switzerland on September 12--14, 1991}",
  publisher =    pub-HARTUNG-GORRE,
  address =      pub-HARTUNG-GORRE:adr,
  pages =        "xii + 584",
  year =         "1991",
  ISBN =         "3-89191-476-8",
  ISBN-13 =      "978-3-89191-476-2",
  LCCN =         "TK7871.85 .I5767 1991",
  bibdate =      "Sat Dec 31 09:10:23 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "International Conference on Simulation of
                 Semiconductor Devices and Processes (4th: 1991: Zurich,
                 Switzerland)",
  subject =      "Semiconductors; Mathematical models; Congresses",
}

@Proceedings{Shimasaki:1991:PIS,
  editor =       "Masaaki Shimasaki",
  booktitle =    "{Proceedings of the International Symposium on
                 Supercomputing: Fukuoka, Japan, November 6--8, 1991}",
  title =        "{Proceedings of the International Symposium on
                 Supercomputing: Fukuoka, Japan, November 6--8, 1991}",
  publisher =    pub-KYUSHU-UNIV-PRESS,
  address =      pub-KYUSHU-UNIV-PRESS:adr,
  pages =        "iv + 261",
  month =        nov,
  year =         "1991",
  ISBN =         "4-87378-284-8",
  ISBN-13 =      "978-4-87378-284-3",
  LCCN =         "QA76.88.I1991",
  bibdate =      "Tue Feb 18 10:19:29 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "Also published in/as Supercomputer, volume 8, number 6
                 (1991).",
  acknowledgement = ack-nhfb,
  confdate =     "6--8 Nov. 1991",
  conflocation = "Fukuoka, Japan",
}

@Proceedings{Beauwens:1992:IML,
  editor =       "R. Beauwens and P. de Groen",
  booktitle =    "Iterative Methods in Linear Algebra: proceedings of
                 the IMACS International Symposium on Iterative Methods
                 in Linear Algebra, Brussels, Belgium, 2--4 April,
                 1991",
  title =        "Iterative Methods in Linear Algebra: proceedings of
                 the {IMACS} International Symposium on Iterative
                 Methods in Linear Algebra, Brussels, Belgium, 2--4
                 April, 1991",
  publisher =    pub-ELSEVIER-SCIENCE,
  address =      pub-ELSEVIER-SCIENCE:adr,
  pages =        "xiii + 636",
  year =         "1992",
  ISBN =         "0-444-89248-6",
  ISBN-13 =      "978-0-444-89248-5",
  LCCN =         "QA184 .I44 1991",
  bibdate =      "Mon Aug 12 11:30:35 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "{Proceedings IMACS Symp. Iterative Methods in Linear
                 Algebra, Brussels, 1991}",
}

@Proceedings{Todd-Pokropek:1992:MIF,
  editor =       "Andrew Todd-Pokropek and M. A. Viergever",
  booktitle =    "Medical images: formation, handling, and evaluation",
  title =        "Medical images: formation, handling, and evaluation",
  volume =       "98",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "ix + 700",
  year =         "1992",
  ISBN =         "3-540-56131-5 , 0-387-56131-5",
  ISBN-13 =      "978-3-540-56131-6, 978-0-387-56131-8",
  LCCN =         "RC78.7.D35 M42 1992; RC78.7.D35.M42; RC78.7.D35 M42
                 1988",
  bibdate =      "Sat Dec 31 10:56:40 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 library.mit.edu:9909/mit01",
  note =         "Proceedings of the NATO Advanced Study Institute on
                 the Formation, Handling, and Evaluation of Medical
                 Images, held at Povoa de Varzim, Portugal, September
                 12--23, 1988.",
  series =       "NATO ASI series. Series F, Computer and system
                 sciences",
  acknowledgement = ack-nhfb,
  remark =       "Published in cooperation with NATO Scientific Affairs
                 Division.",
  subject =      "Diagnostic imaging; Digital techniques; Congresses;
                 Imaging systems in medicine",
}

@Book{Anonymous:1993:AN,
  editor =       "Anonymous",
  booktitle =    "Acta numerica 1993",
  title =        "Acta numerica 1993",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "326",
  year =         "1993",
  ISBN =         "0-521-44356-3",
  ISBN-13 =      "978-0-521-44356-2",
  ISSN =         "0962-4929 (print), 1474-0508 (electronic)",
  ISSN-L =       "0962-4929",
  LCCN =         "QA297 1993",
  bibdate =      "Sat Dec 31 09:19:34 MST 2005",
  bibsource =    "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Dongarra:1993:CB,
  editor =       "Jack J. Dongarra and Wolfgang Gentzsch",
  booktitle =    "Computer Benchmarks",
  title =        "Computer Benchmarks",
  volume =       "8",
  publisher =    pub-NH,
  address =      pub-NH:adr,
  pages =        "xiv + 349",
  year =         "1993",
  ISBN =         "0-444-81518-X",
  ISBN-13 =      "978-0-444-81518-7",
  LCCN =         "QA76.9.E94 C63 1993",
  bibdate =      "Mon Jan 15 11:06:15 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  series =       "Advances in Parallel Computing",
  acknowledgement = ack-nhfb,
}

@Proceedings{Fincham:1993:PCB,
  editor =       "A. E. Fincham and Brian J. Ford",
  booktitle =    "{Parallel computation: based on the proceedings of a
                 conference on parallel computation organized by the
                 Institute of Mathematics and Its Applications and held
                 at St. Catherine's College, Oxford, in September
                 1991}",
  title =        "{Parallel computation: based on the proceedings of a
                 conference on parallel computation organized by the
                 Institute of Mathematics and Its Applications and held
                 at St. Catherine's College, Oxford, in September
                 1991}",
  volume =       "46",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "x + 366",
  year =         "1993",
  ISBN =         "0-19-853680-1",
  ISBN-13 =      "978-0-19-853680-2",
  LCCN =         "QA76.58 .P3755 1993",
  bibdate =      "Sat Dec 31 09:27:28 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Conference series / The Institute of Mathematics and
                 Its Applications",
  acknowledgement = ack-nhfb,
  subject =      "Parallel programming (Computer science); Congresses",
}

@Proceedings{Golub:1993:RAI,
  editor =       "Gene H. Golub and Anne Greenbaum and Mitchell Luskin",
  booktitle =    "Recent Advances in Iterative Methods",
  title =        "Recent Advances in Iterative Methods",
  volume =       "60",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 225",
  year =         "1993",
  ISBN =         "0-387-94252-1 (New York), 3-540-94252-1 (Berlin)",
  ISBN-13 =      "978-0-387-94252-0 (New York), 978-3-540-94252-8
                 (Berlin)",
  LCCN =         "QA297.8 .R43 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "Papers from the IMA Workshop on Iterative Methods for
                 Sparse and Structured Problems, held in Minneapolis,
                 Minn., Feb. 24--Mar. 1, 1992",
  price =        "DM98.00",
  series =       "The IMA volumes in mathematics and its applications",
  acknowledgement = ack-sf,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  tableofcontents = "Some themes in Gene H. Golub's work on iterative
                 methods / Dianne P. O'Leary \\
                 Computing the sparse singular value decomposition via
                 SVDPACK / Michael W. Berry \\
                 Gaussian quadrature applied to adaptive Chebyshev
                 iteration / D. Calvetti, G.H. Golub, and L. Reichel \\
                 Ordering effects on relaxation methods applied to the
                 discrete convection-diffusion equation / Howard C.
                 Elman and Michael P. Chernesky \\
                 On the error computation for polynomial based iteration
                 methods / Bernd Fischer and Gene H. GolubTranspose-free
                 quasi-minimal residual methods for non-Hermitian linear
                 systems / Roland W. Freund \\
                 Matrices that generate the same Krylov residual spaces
                 / Anne Greenbaum and Zdenek Strakos \\
                 Incomplete block factorizations as preconditioners for
                 sparse SPD matrices / L. Yu. Kolotilina and A. Yu
                 Yeremin \\
                 How fast can iterative methods be? / Olavi Nevanlinna
                 \\
                 Rational Krylov algorithms for nonsymmetric eigenvalue
                 problems / Axel Ruhe \\
                 Highly parallel preconditioners for general sparse
                 matrices / Youcef SaadA two-stage iteration for solving
                 nearly completely decomposable Markov chains / G.W.
                 Stewart, W.J. Stewart and D.F. McAllister \\
                 Minimum residual modifications to Bi-CG and to the
                 preconditioner / Henk A. Van der Vorst",
}

@Proceedings{Hackbusch:1993:IDI,
  editor =       "W. Hackbusch and Gabriel Wittum",
  booktitle =    "Incomplete decomposition ({ILU}): algorithms, theory,
                 and applications: proceedings of the {Eighth
                 GAMM-Seminar, Kiel, January 24--26, 1992}",
  title =        "Incomplete decomposition ({ILU}): algorithms, theory,
                 and applications: proceedings of the {Eighth
                 GAMM-Seminar, Kiel, January 24--26, 1992}",
  volume =       "41",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "vii + 229",
  year =         "1993",
  ISBN =         "3-528-07641-0, 3-531-07641-0 (invalid checksum??)",
  ISBN-13 =      "978-3-528-07641-2, 978-3-531-07641-6",
  ISSN =         "0179-9614",
  LCCN =         "QA377 .G23 1992",
  bibdate =      "Sat Dec 31 09:52:17 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Notes on Numerical Fluid Mechanics",
  acknowledgement = ack-nhfb,
  subject =      "Differential equations, Partial; Numerical solutions;
                 Congresses; Multigrid methods (Numerical analysis)",
}

@Proceedings{Selberherr:1993:SSD,
  editor =       "Siegfried Selberherr and H. (Hannes) Stippel and E.
                 (Ernst) Strasser",
  booktitle =    "{Simulation of semiconductor devices and processes:
                 Proceedings of the Fifth International Conference on
                 Simulation of Semiconductor Devices and Processes held
                 at the Technical University of Vienna, Austria, Sept.
                 7--9, 1993}",
  title =        "{Simulation of semiconductor devices and processes:
                 Proceedings of the Fifth International Conference on
                 Simulation of Semiconductor Devices and Processes held
                 at the Technical University of Vienna, Austria, Sept.
                 7--9, 1993}",
  volume =       "5",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xx + 504",
  year =         "1993",
  ISBN =         "0-387-82504-5 (New York), 3-211-82504-5 (Vienna)",
  ISBN-13 =      "978-0-387-82504-5 (New York), 978-3-211-82504-4
                 (Vienna)",
  LCCN =         "TK7871.85 S5555 1993; TK7871.85 .S5555 1993",
  bibdate =      "Sat Dec 31 09:56:23 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  subject =      "Semiconductors; Mathematical models; Congresses",
}

@Book{Vreugdenhil:1993:NMA,
  editor =       "Cornelis Boudewijn Vreugdenhil and Barry Koren",
  booktitle =    "Numerical methods for advection--diffusion problems",
  title =        "Numerical methods for advection--diffusion problems",
  volume =       "45",
  publisher =    pub-VIEWEG,
  address =      pub-VIEWEG:adr,
  pages =        "xii + 373",
  year =         "1993",
  ISBN =         "3-528-07645-3",
  ISBN-13 =      "978-3-528-07645-0",
  ISSN =         "0179-9614",
  LCCN =         "QA901 .N86 1993",
  bibdate =      "Sat Dec 31 09:18:05 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Notes on numerical fluid mechanics",
  acknowledgement = ack-nhfb,
  remark =       "GB93-08615.",
  subject =      "Reaction-diffusion equations; Numerical solutions",
}

@Proceedings{Brown:1994:PCL,
  editor =       "J. David Brown and Moody T. Chu and Donald C. Ellison
                 and Robert J. Plemmons",
  booktitle =    "{Proceedings of the Cornelius Lanczos International
                 Centenary Conference, Raleigh, North Carolina, December
                 12--17, 1993}",
  title =        "{Proceedings of the Cornelius Lanczos International
                 Centenary Conference, Raleigh, North Carolina, December
                 12--17, 1993}",
  volume =       "73",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "lxv + 644",
  year =         "1994",
  ISBN =         "0-89871-339-0",
  ISBN-13 =      "978-0-89871-339-8",
  LCCN =         "QC19.2 .C67 1993",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Proceedings in Applied Mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "Cornelius Lanczos International Centenary Conference
                 (1993:Raleigh, NC)",
  subject =      "Mathematical physics; Congresses; Astrophysics;
                 Mathematics; Lanczos, Cornelius; Physicists; Hungary;
                 Biography; Mathematicians",
  subject-dates = "1893--1974",
  tableofcontents = "The Life and Works of Cornelius Lanczos \\
                 \\
                 A Photographic Essay / / xvii \\
                 Cornelius Lanczos: A Biographical Essay / Barbara
                 Gellai / xxi \\
                 Cornelius Lanczos (1893-1974), and the Hungarian
                 Phenomenon in Science and Mathematics / Peter D. Lax /
                 xlix \\
                 The Roots of Cornelius Lanczos / George Marx / liii \\
                 Reminiscences of Cornelius Lanczos / Jon Todd / lviii
                 \\
                 Published Papers and Books of Cornelius Lanczos / / lx
                 \\
                 \\
                 Plenary Presentations: Computational Mathematics \\
                 \\
                 Lanczos and the FFT: A Discovery Before its Time /
                 James W. Cooley / 3 \\
                 Lanczos Algorithms for Large Scale Symmetric and
                 Nonsymmetric Matrix Eigenvalue Problems / Jane K.
                 Cullum / 11 \\
                 The Look-Ahead Lanczos Process for Nonsymmetric
                 Matrices and its Applications / Roland W Freund / 33
                 \\
                 The Lanczos and Conjugate Gradient Algorithms in Finite
                 Precision Arithmetic / Anne Greenbaum / 49 \\
                 The Lanczos Process and Pade Approximation / Martin H.
                 Gutknecht / 61 \\
                 The Tau Method and the Numerical Solution of
                 Differential Equations: Past Research and Recent
                 Research / Eduardo L. Ortiz / 77 \\
                 Krylov Subspace Processes, Krylov Subspace Methods, and
                 Iteration Polynomials / C. C. Paige / 83 \\
                 Do We Fully Understand the Symmetric Lanczos Algorithm
                 Yet? / Beresford N. Parlett / 93 \\
                 On Generalized Band Matrices and Their Inverses /
                 P{\'a}l R{\'o}sa, Francesco Romani, and Roberto
                 Bevilacqua / 109 \\
                 Theoretical Error Bounds and General Analysis of a Few
                 Lanczos-Type Algorithms / Youcef Saad / 123 \\
                 Lanczos and Linear Systems / G. W. Stewart / 135 \\
                 \\
                 Plenary Presentations: Theoretical Physics and
                 Astrophysics \\
                 \\
                 Integration on the Space of Connections Modulo Gauge
                 Transformations / Abbay Ashtekar, Donald Marolf, and
                 Jose Mourdo / 143 \\
                 Quasiclassical Domains in a Quantum Universe / James B.
                 Hartle / 161 \\
                 Gauge Invariant Energy-Momentum Tensor in Spinar
                 Electrodynamics / D. Petiot and Y. Takahashi / 173 \\
                 $\gamma$-Ray Bursts and Neutron Star Mergers / Tsvi
                 Piran / 187 \\
                 Lanczos's Early Contributions to Relativity and His
                 Relationship with Einstein / John Stachel / 201 \\
                 Topological Roots of Black Hole Entropy / Claudio
                 Teitelboim / 223 \\
                 Variational Principles, Local Symmetries, and Black
                 Hole Entropy / Robert M. Wald / 231 \\
                 \\
                 Mathematics Minisymposia \\
                 \\
                 Eigenvalue Computations: Theory and Algorithms / / 241
                 \\
                 Eigenvalue Computations: Applications / / 249 \\
                 Moments in Numerical Analysis / / 265 \\
                 Iterative Methods for Linear Systems / / 277 \\
                 Least Squares / / 301 \\
                 Software for Lanczos-based Algorithms / / 311 \\
                 Tau Method / / 335 \\
                 Chebyshev Polynomials / / 357 \\
                 Lanczos Methods in Control and Signal Processing / /
                 375 \\
                 Development of the FFT / / 393 \\
                 The FFT in Signal Processing / / 399 \\
                 Wavelets / / 411 \\
                 \\
                 Physics Minisymposia \\
                 \\
                 Computational Magnetohydrodynamics in Astrophysics / /
                 431 \\
                 Numerical Simulations of Collisionless Space Plasmas /
                 / 453 \\
                 Detection of Gravitational Radiation from Astrophysical
                 Sources / / 477 \\
                 Lanczos $H$-tensor / / 489 \\
                 Cosmic Censorship / / 513 \\
                 Cauchy Problem of General Relativity / / 527 \\
                 Black Hole Evaporation and Thermodynamics / / 543 \\
                 The Problem of Time in Quantum Gravity / / 555 \\
                 New Variables and Loop Quantization / / 571 \\
                 Decoherence and the Foundations of Quantum Mechanics /
                 / 589 \\
                 Open Questions in Particle Theory / / 603 \\
                 Supercollider Physics / / 621 \\
                 Symplectic Methods in Physics / / 633",
}

@Proceedings{Gentzsch:1994:HPC,
  editor =       "Wolfgang Gentzsch and Uwe Harms",
  booktitle =    "High-performance computing and networking:
                 International Conference and Exhibition, Munich,
                 Germany, April 18--20, 1994: proceedings",
  title =        "High-performance computing and networking:
                 International Conference and Exhibition, Munich,
                 Germany, April 18--20, 1994: proceedings",
  volume =       "797",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "various",
  year =         "1994",
  CODEN =        "LNCSD9",
  DOI =          "????",
  ISBN =         "3-540-57981-8 (Berlin: v. 2: paperback), 0-387-57981-8
                 (New York: v. 2: paperback)",
  ISBN-13 =      "978-3-540-57981-6 (Berlin: v. 2: paperback),
                 978-0-387-57981-8 (New York: v. 2: paperback)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.88 .I57 1994 v.1--2 (c1994)",
  bibdate =      "Fri Apr 12 07:15:01 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "Two volumes.",
  price =        "DM96.00",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t0797.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=797",
  acknowledgement = ack-nhfb,
  keywords =     "computer networks --- congresses; supercomputers ---
                 congresses",
}

@Proceedings{Golub:1994:RAI,
  editor =       "Gene Golub and Anne Greenbaum and Mitchell Luskin",
  booktitle =    "{Recent advances in iterative methods: [papers from
                 the IMA Workshop on Iterative Methods for Sparse and
                 Structured Problems, held in Minneapolis, Minnesota,
                 February 24--March 1, 1992]}",
  title =        "{Recent advances in iterative methods: [papers from
                 the IMA Workshop on Iterative Methods for Sparse and
                 Structured Problems, held in Minneapolis, Minnesota,
                 February 24--March 1, 1992]}",
  volume =       "60",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 225",
  year =         "1994",
  ISBN =         "0-387-94252-1 (New York), 3-540-94252-1 (Berlin)",
  ISBN-13 =      "978-0-387-94252-0 (New York), 978-3-540-94252-8
                 (Berlin)",
  LCCN =         "QA297.8 .R43 1994",
  MRclass =      "65-06",
  MRnumber =     "95m:65001",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  series =       "The IMA Volumes in Mathematics and its Applications",
  URL =          "http://zbmath.org/?q=an:0790.00015",
  ZMnumber =     "0790.00015",
  acknowledgement = ack-nhfb,
  tableofcontents = "Some themes in Gene H. Golub's work on iterative
                 methods / Dianne P. O'Leary / 1 / \\
                 Computing the sparse singular value decomposition via
                 SVDPACK / Michael W. Berry / 13 \\
                 Gaussian quadrature applied to adaptive Chebyshev
                 iteration / D. Calvetti, G. H. Golub, and L. Reichel /
                 31 \\
                 Ordering effects on relaxation methods applied to the
                 discrete convection-diffusion equation / Howard C.
                 Elman and Michael P. Chernesky / 45 \\
                 On the error computation for polynomial based iteration
                 methods / Bernd Fischer and Gene H. Golub / 59 \\
                 Transpose-free quasi-minimal residual methods for
                 non-Hermitian linear systems / Roland W. Freund / 69
                 \\
                 Matrices that generate the same Krylov residual spaces
                 / Anne Greenbaum and Zdenek Strakos / 95 \\
                 Incomplete block factorizations as preconditioners for
                 sparse SPD matrices / L. Yu. Kolotilina and A. Yu
                 Yeremin / 119 \\
                 How fast can iterative methods be? / Olavi Nevanlinna /
                 135 \\
                 Rational Krylov algorithms for nonsymmetric eigenvalue
                 problems / Axel Ruhe / 149 \\
                 Highly parallel preconditioners for general sparse
                 matrices / Youcef Saad / 165 \\
                 A two-stage iteration for solving nearly completely
                 decomposable Markov chains / G. W. Stewart, W. J.
                 Stewart and D. F. McAllister / 201 \\
                 Minimum residual modifications to Bi-CG and to the
                 preconditioner / Henk A. Van der Vorst / 217",
}

@Proceedings{Habashi:1995:STL,
  editor =       "Wagdi G. Habashi",
  booktitle =    "Solution techniques for large-scale {CFD} problems",
  title =        "Solution techniques for large-scale {CFD} problems",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xii + 442",
  year =         "1995",
  ISBN =         "0-471-95810-7",
  ISBN-13 =      "978-0-471-95810-9",
  LCCN =         "QA911 S55 1995",
  bibdate =      "Sat Dec 31 10:01:07 MST 2005",
  bibsource =    "amicus.nlc-bnc.ca:210/NL;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  series =       "Computational methods in applied sciences",
  acknowledgement = ack-nhfb,
  subject =      "Fluid dynamics; Mathematics",
}

@Proceedings{teRiele:1995:MPC,
  editor =       "H. J. J. te Riele and H. A. van der Vorst",
  booktitle =    "Massively parallel computing and applications",
  title =        "Massively parallel computing and applications",
  publisher =    pub-ELSEVIER-SCIENCE,
  address =      pub-ELSEVIER-SCIENCE:adr,
  pages =        "viii + 171",
  year =         "1995",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  MRclass =      "65Y05 (65-06)",
  MRnumber =     "MR1370022 (96g:65132)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Papers from the symposia held in Amsterdam,
                 1993--1994, Appl. Numer. Math. {\bf 19} (1995), no.
                 1--2.",
  acknowledgement = ack-nhfb,
}

@Proceedings{Jeffery:1996:STP,
  editor =       "Keith (Keith G.) Jeffery and Jaroslav Kr{\'a}l and
                 Miroslav Bartosek",
  booktitle =    "{SOFSEM'96: theory and practice of informatics: 23rd
                 Seminar on Current Trends in Theory and Practice of
                 Informatics, Milovy, Czech Republic, November 23--30,
                 1996: proceedings}",
  title =        "{SOFSEM'96: theory and practice of informatics: 23rd
                 Seminar on Current Trends in Theory and Practice of
                 Informatics, Milovy, Czech Republic, November 23--30,
                 1996: proceedings}",
  volume =       "1175",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xii + 490",
  year =         "1996",
  CODEN =        "LNCSD9",
  DOI =          "????",
  ISBN =         "3-540-61994-1 (paperback)",
  ISBN-13 =      "978-3-540-61994-9 (paperback)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.751.S62 1996",
  bibdate =      "Mon Aug 25 12:00:44 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t1175.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1175",
  acknowledgement = ack-nhfb,
  keywords =     "Computer software --- Congresses; Computers ---
                 Congresses",
}

@Book{Chan:1997:IMS,
  editor =       "Raymond H. Chan and Tony F. Chan and Gene H. (Gene
                 Howard) Golub",
  booktitle =    "Iterative methods in scientific computing",
  title =        "Iterative methods in scientific computing",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vii + 384",
  year =         "1997",
  ISBN =         "981-3083-08-5 (paperback)",
  ISBN-13 =      "978-981-3083-08-0 (paperback)",
  LCCN =         "QA297.8 .I835 1997",
  bibdate =      "Sat Dec 31 10:07:00 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  remark =       "Winter School on Iterative Methods in Scientific
                 Computing and Their Applications (1995, Hong Kong).",
  subject =      "Iterative methods (Mathematics); Data processing;
                 Congresses",
}

@Proceedings{Duff:1997:SAN,
  editor =       "Iain S. Duff and G. Alistair Watson",
  booktitle =    "The state of the art in numerical analysis",
  title =        "The state of the art in numerical analysis",
  volume =       "63",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xiv + 562",
  year =         "1997",
  ISBN =         "0-19-850014-9",
  ISBN-13 =      "978-0-19-850014-8",
  LCCN =         "QA297.S775 1997",
  MRclass =      "65-06 (00B25)",
  MRnumber =     "MR1628339 (99a:65008)",
  bibdate =      "Thu Sep 16 11:59:48 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  note =         "Based on the proceedings of a conference on the state
                 of the art in numerical analysis. Organized by the
                 Institute of Mathematics and Its Applications and held
                 at York University in April 1996.",
  series =       "The Institute of Mathematics and Its Applications
                 conference series: new series",
  URL =          "https://global.oup.com/academic/product/the-state-of-the-art-in-numerical-analysis-9780198500148",
  acknowledgement = ack-nhfb,
  tableofcontents = "1. Recent Developments in Dense Numerical Linear
                 Algebra / N. J. Higham \\
                 2. Sparse Numerical Linear Algebra: Direct Methods and
                 Preconditioning / I. S. Duff \\
                 3. Closer to the Solution: Iterative Linear Solvers /
                 G. H. Golub and H. A. van der Vorst \\
                 4. 150 Years Old and Still Alive: Eigenproblems / H. A.
                 van der Vorst and G. H. Golub \\
                 5. Geometric Integration / J. M. Sanz-Serna \\
                 6. Convergence and Stability in the Numerical
                 Approximation of Dynamical Systems / A. Stuart \\
                 7. Beyond the Classical Theory of Computational
                 Ordinary Differential Equations / A. Iserles \\
                 8. Numerical Analysis of Volterra Functional and
                 Integral Equations / C. T. H. Baker \\
                 9. The Numerical Solution of Boundary Integral
                 Equations / K. E. Atkinson \\
                 10. Aspects of Approximation with Emphasis on the
                 Univariate Case / G. A. Watson \\
                 11. A Review of Methods for Multivariable Interpolation
                 at Scattered Data Points / M. J. D. Powell \\
                 12. Large Scale Unconstrained Optimization / J. Nocedal
                 \\
                 13. Interior Point Methods for Linear and Nonlinear
                 Programming / D. F. Shanno and E. M. Simantiraki \\
                 14. Methods for Nonlinear Constraints in Optimization
                 Calculations / A. R. Conn, N. I. M. Gould and Ph. L.
                 Toint \\
                 15. Stabilization Techniques and Subgrid Scales
                 Capturing, F. Brezzi, L. P. Franca / T. J. R. Hughes
                 and A. Russo \\
                 16. Approximation of Curvature Dependent Interface
                 Motion / C. M. Elliott \\
                 17. Finite Element Methods for Hyperbolic Problems: a
                 Posteriori Error Analysis and Adaptivity / E. S{\"u}li
                 and P. Houston \\
                 18. Approximation of Multidimensional Hyperbolic
                 Partial Differential Equations / K. W. Morton \\
                 19. Algorithms in Tomography / F. Natterer \\
                 20. Partial Differential Equations and Image Iterative
                 Filtering / F. Guichard and J.-M. Morel",
}

@Book{Keyes:1997:PNA,
  editor =       "David E. Keyes and Ahmed Sameh and V.
                 Venkatakrishnan",
  booktitle =    "Parallel numerical algorithms",
  title =        "Parallel numerical algorithms",
  volume =       "4",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xi + 395",
  year =         "1997",
  ISBN =         "0-7923-4282-8",
  ISBN-13 =      "978-0-7923-4282-3",
  LCCN =         "QA76.9.A43 P35 1997",
  bibdate =      "Sat Dec 31 10:04:36 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "ICASE/LaRC interdisciplinary series in science and
                 engineering",
  acknowledgement = ack-nhfb,
  keywords =     "Hampton, VA",
  subject =      "Parallel algorithms; Parallel processing (Electronic
                 computers)",
}

@Proceedings{WinterAlthaus:1998:ALS,
  editor =       "G. {Winter Althaus} and E. Spedicato",
  booktitle =    "Algorithms for large scale linear algebraic systems:
                 applications in science and engineering",
  title =        "Algorithms for large scale linear algebraic systems:
                 applications in science and engineering",
  volume =       "508",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "viii + 409",
  year =         "1998",
  ISBN =         "0-7923-4975-X (hardcover)",
  ISBN-13 =      "978-0-7923-4975-4 (hardcover)",
  LCCN =         "QA214 .A44 1998",
  bibdate =      "Sat Dec 31 10:14:35 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "NATO ASI series. Series C, Mathematical and physical
                 sciences",
  acknowledgement = ack-nhfb,
  remark =       "Published in cooperation with NATO Scientific Affairs
                 Division. Proceedings of the NATO Advanced Study
                 Institute on Algorithms for Large Scale Linear
                 Algebraic Systems: State of the Art and Applications in
                 Science and Engineering, Gran Canaria, Spain, June
                 23--July 6, 1996.",
  subject =      "Equations; Numerical solutions; Congresses; Iterative
                 methods (Mathematics); Sparse matrices",
}

@Book{Iliev:1999:RAN,
  editor =       "O. P. (Oleg P.) Iliev and others",
  booktitle =    "{Recent advances in numerical methods and applications
                 II: proceedings of the fourth international conference,
                 NMA '98, Sofia, Bulgaria 19--23 August, 1998}",
  title =        "{Recent advances in numerical methods and applications
                 II: proceedings of the fourth international conference,
                 NMA '98, Sofia, Bulgaria 19--23 August, 1998}",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xv + 907",
  year =         "1999",
  ISBN =         "981-02-3827-4",
  ISBN-13 =      "978-981-02-3827-8",
  LCCN =         "QA297 .R37 1999",
  bibdate =      "Sat Dec 31 10:17:49 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  remark =       "Papers presented at the Fourth International
                 Conference on Numerical Methods and Applications (NMA
                 '98), held in Sofia, Bulgaria, during August 19--23,
                 1998.",
  subject =      "Numerical analysis; Congresses",
}

@Proceedings{Bubak:2000:HPC,
  editor =       "Marian Bubak and Hamideh Afsarmanesh and Roy Williams
                 and Bob Hertzberger",
  booktitle =    "High performance computing and networking: 8th
                 International Conference, {HPCN} Europe 2000,
                 Amsterdam, The Netherlands, May 8--10, 2000:
                 Proceedings",
  title =        "High performance computing and networking: 8th
                 International Conference, {HPCN} Europe 2000,
                 Amsterdam, The Netherlands, May 8--10, 2000:
                 Proceedings",
  volume =       "1823",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xviii + 719",
  year =         "2000",
  CODEN =        "LNCSD9",
  DOI =          "????",
  ISBN =         "3-540-67553-1 (softcover)",
  ISBN-13 =      "978-3-540-67553-2 (softcover)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA267.A1 L43 no.1823",
  bibdate =      "Mon Oct 16 18:31:56 MDT 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t1823.htm;
                 http://www.springerlink.com/link.asp?id=fundvl8nd68e;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1823",
  acknowledgement = ack-nhfb,
  keywords =     "computer networks -- congresses; high performance
                 computing -- congresses",
  subject =      "High performance computing; Congresses; Computer
                 networks",
}

@Proceedings{Frommer:2000:NCL,
  editor =       "Andreas Frommer and others",
  booktitle =    "{Numerical challenges in lattice quantum
                 chromodynamics: joint interdisciplinary workshop of
                 John von Neumann Institute for Computing, J{\"u}lich,
                 and Institute of Applied Computer Science, Wuppertal
                 University, August 1999}",
  title =        "{Numerical challenges in lattice quantum
                 chromodynamics: joint interdisciplinary workshop of
                 John von Neumann Institute for Computing, J{\"u}lich,
                 and Institute of Applied Computer Science, Wuppertal
                 University, August 1999}",
  volume =       "15",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 184",
  year =         "2000",
  ISBN =         "3-540-67732-1",
  ISBN-13 =      "978-3-540-67732-1",
  ISSN =         "1439-7358",
  LCCN =         "QC793.3.G38 N86 2000",
  bibdate =      "Tue Feb 05 09:39:44 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  series =       ser-LNCSE,
  acknowledgement = ack-nhfb,
  keywords =     "Lattice gauge theories--Mathematical
                 models--Congresses; Quantum
                 chromodynamics--Mathematical models--Congresses",
}

@Proceedings{Saad:2000:PTL,
  editor =       "Yousef Saad and Owe Axelsson and Iain Duff and Wei-Pai
                 Tang and Andy Wathen",
  booktitle =    "Preconditioning techniques for large sparse matrix
                 problems in industrial applications",
  title =        "Preconditioning techniques for large sparse matrix
                 problems in industrial applications",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "iv + 489--762",
  year =         "2000",
  CODEN =        "NLAAEM",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  MRclass =      "65-06",
  MRnumber =     "MR1800674 (2001f:65005)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Papers from the International Conference (SPARSE '99)
                 held at the University of Minnesota, Minneapolis, MN,
                 June 10--12, 1999, Numer. Linear Algebra Appl. {\bf 7}
                 (2000), no. 7--8.",
  acknowledgement = ack-nhfb,
}

@Book{vanDooren:2000:NAV,
  editor =       "P. M. van Dooren and A. Hadjidimos and H. A. van der
                 Vorst",
  booktitle =    "Numerical analysis 2000",
  title =        "Numerical analysis 2000",
  volume =       "3",
  publisher =    pub-ELSEVIER-SCIENCE,
  address =      pub-ELSEVIER-SCIENCE:adr,
  pages =        "xii + 531",
  year =         "2000",
  ISBN =         "0-444-50598-9",
  ISBN-13 =      "978-0-444-50598-9",
  LCCN =         "QA184 .L67 2000",
  MRclass =      "65-06 (65F15)",
  MRnumber =     "MR1851505",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Linear algebra---linear systems and eigenvalues,
                 Reprint of J.\ Comput.\ Appl.\ Math.\ {\bf 123} (2000),
                 no.\ 1--2 [ MR1798517 (2001f:65003)].",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0614/2002282450-d.html",
  acknowledgement = ack-nhfb,
}

@Proceedings{vanderVorst:2001:CMC,
  editor =       "Henk van der Vorst and Iain Duff and Howard Elman and
                 Roland Freund and Tim Kelley and Seymour Parter and
                 others",
  booktitle =    "{Copper Mountain Conference}",
  title =        "{Copper Mountain Conference}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "viii + 363--682 (electronic)",
  year =         "2001",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65-06",
  MRnumber =     "MR1861253",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
                 MathSciNet database",
  note =         "Papers from the 6th Conference on Iterative Methods
                 held in Copper Mountain, CO, April 3--7, 2000, SIAM J.
                 Sci. Comput. {\bf 23} (2001), no. 2.",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97414",
  acknowledgement = ack-nhfb,
}

@Proceedings{VanRienen:2001:SCE,
  editor =       "Ursula {Van Rienen} and Michael Gunther and Dirk
                 Hecht",
  booktitle =    "{Scientific computing in electrical engineering:
                 proceedings of the 3rd international workshop, August
                 20--23, 2000, Warnem{\"u}nde, Germany}",
  title =        "{Scientific computing in electrical engineering:
                 proceedings of the 3rd international workshop, August
                 20--23, 2000, Warnem{\"u}nde, Germany}",
  volume =       "18",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xii + 424",
  year =         "2001",
  ISBN =         "3-540-42173-4 (paperback)",
  ISBN-13 =      "978-3-540-42173-3 (paperback)",
  ISSN =         "1439-7358",
  LCCN =         "TK5 .S35 2001",
  bibdate =      "Tue Feb 5 09:32:09 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  note =         "Selected contributions presented at the 3rd
                 International Workshop on Scientific Computing in
                 Electrical Engineering.",
  series =       ser-LNCSE,
  acknowledgement = ack-nhfb,
  keywords =     "electric engineering -- data processing --
                 congresses",
}

@Book{Anonymous:2002:HNA,
  editor =       "Anonymous",
  booktitle =    "Handbook of Numerical Analysis: Solution of Equations
                 in $ {R}^n $ (pt. 4): techniques of \ldots{}",
  title =        "Handbook of Numerical Analysis: Solution of Equations
                 in $ {R}^n $ (pt. 4): techniques of \ldots{}",
  volume =       "{VIII}",
  publisher =    pub-NH,
  address =      pub-NH:adr,
  year =         "2002",
  ISBN =         "0-444-50906-2",
  ISBN-13 =      "978-0-444-50906-2",
  LCCN =         "QA297 .H287 1990; QA297 .H34 1990; QA297 .H287 1989",
  bibdate =      "Sat Dec 31 10:22:12 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 library.mit.edu:9909/mit01",
  acknowledgement = ack-nhfb,
}

@Proceedings{Herrera:2002:DDM,
  editor =       "Ismael Herrera and David E. Keyes and others",
  booktitle =    "{Domain decomposition methods in science and
                 engineering: fourteenth International Conference on
                 Domain Decomposition Methods, Cocoyoc, Mexico}",
  title =        "{Domain decomposition methods in science and
                 engineering: fourteenth International Conference on
                 Domain Decomposition Methods, Cocoyoc, Mexico}",
  publisher =    "National Autonomous University of Mexico (UNAM)",
  address =      "Mexico City, Mexico",
  pages =        "xiv + 490",
  year =         "2002",
  ISBN =         "970-32-0859-2",
  ISBN-13 =      "978-970-32-0859-3",
  LCCN =         "QA402.2",
  bibdate =      "Sat Dec 31 10:26:39 2005",
  bibsource =    "clio-db.cc.columbia.edu:7090/Voyager;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
  meetingname =  "International Conference on Domain Decomposition (14th
                 : 2002 : Cocoyot, Mexico)",
  subject =      "Decomposition method; Congresses; Differential
                 equations, Partial",
}

@Proceedings{Buikis:2004:PIM,
  editor =       "Andris Buikis and Raimondas {\v{C}}iegis and Alistair
                 Fitt",
  booktitle =    "Progress in industrial mathematics at {ECMI 2002}",
  title =        "Progress in industrial mathematics at {ECMI 2002}",
  volume =       "5",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xix + 409",
  year =         "2004",
  ISBN =         "3-540-40113-X (hardcover)",
  ISBN-13 =      "978-3-540-40113-1 (hardcover)",
  LCCN =         "TA329 .E96 2002",
  bibdate =      "Sat Dec 31 10:33:12 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "European consortium for mathematics in industry",
  acknowledgement = ack-nhfb,
  meetingname =  "European Conference on Mathematics in Industry (12th:
                 2002: Riga, Latvia)",
  subject =      "Engineering mathematics; Congresses; Industrial
                 engineering; Mathematics",
}

@Book{Krizek:2004:CGA,
  editor =       "M. K{\v{r}}{\'i}{\v{z}}ek and others",
  booktitle =    "Conjugate gradient algorithms and finite element
                 methods",
  title =        "Conjugate gradient algorithms and finite element
                 methods",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xv + 382",
  year =         "2004",
  ISBN =         "3-540-21319-8",
  ISBN-13 =      "978-3-540-21319-2",
  LCCN =         "QA218 .C66 2004",
  bibdate =      "Sat Dec 31 09:37:49 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Scientific computation",
  acknowledgement = ack-nhfb,
  subject =      "Conjugate gradient methods; Finite element method",
}

@Book{Schilders:2005:SVN,
  editor =       "W. H. A. Schilders and E. J. W. ter Maten",
  booktitle =    "Special volume: numerical methods in
                 electromagnetics",
  title =        "Special volume: numerical methods in
                 electromagnetics",
  volume =       "13",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "500",
  year =         "2005",
  ISBN =         "0-444-51375-2",
  ISBN-13 =      "978-0-444-51375-5",
  LCCN =         "QA297 .H287 1989 vol. 13",
  bibdate =      "Sat Dec 31 10:38:45 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Handbook of numerical analysis",
  acknowledgement = ack-nhfb,
  subject =      "Electromagnetism; Mathematical models",
}

@Article{Bai:2006:PLS,
  author =       "Zhaojun Bai and Andrew Knyazev and Henk A. van der
                 Vorst",
  title =        "Preface: {Large} scale linear and nonlinear eigenvalue
                 problems",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "415",
  number =       "1",
  pages =        "1--2",
  day =          "1",
  month =        may,
  year =         "2006",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Mar 29 10:29:33 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  remark =       "Special issue on large scale linear and nonlinear
                 eigenvalue problems.",
}

%%% ====================================================================
%%% Additional cross-referenced works:
@Article{Anonymous:1995:BRB,
  author =       "Anonymous",
  title =        "Book Reviews: 26. {Barrett, Berry, Chan, Demmel,
                 Donato, Dongarra, Eijkhout, Pozo, Romine, and van der
                 Vorst}",
  journal =      j-MATH-COMPUT,
  volume =       "64",
  number =       "211",
  pages =        "??--??",
  month =        jul,
  year =         "1995",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jul 26 10:22:57 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Graves-Morris:1999:ABV,
  author =       "P. R. Graves-Morris and A. Salam",
  title =        "Avoiding breakdown in {van der Vorst}'s method",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "21",
  number =       "1--4",
  pages =        "205--223",
  month =        dec,
  year =         "1999",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon Sep 29 08:36:58 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  note =         "See \cite{Barrett:1994:TSLb}.",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/20/7/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/20/7/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Proceedings{Schilders:2008:MOR,
  editor =       "W. H. A. Schilders and H. A. van der Vorst and Joost
                 Rommes",
  booktitle =    "{Model order reduction: theory, research aspects and
                 applications}",
  title =        "{Model order reduction: theory, research aspects and
                 applications}",
  volume =       "13",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xi + 471",
  year =         "2008",
  DOI =          "https://doi.org/10.1007/978-3-540-78841-6",
  ISBN =         "3-540-78841-7, 3-540-78840-9",
  ISBN-13 =      "978-3-540-78841-6, 978-3-540-78840-9",
  LCCN =         "TA347.L5 M63 2008",
  bibdate =      "Mon Aug 23 18:40:46 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Mathematics in industry; The European Consortium for
                 Mathematics in Industry",
  acknowledgement = ack-nhfb,
  remark =       "Based on a workshop titled ``Model order reduction,
                 coupled problems and optimization,'' held at the
                 Lorentz Center in Leiden, September 19--23, 2005.",
  subject =      "engineering mathematics; congresses; computer
                 engineering; control theory; numerical analysis;
                 algebras, linear",
}