@Preamble{"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"}
@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/|"}
@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"}
@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"}
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@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"}
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@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"}
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@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
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@String{j-SIAM-J-SCI-STAT-COMP = "SIAM J. Scient. Stat. Comput."}
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@String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}"}
@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"}
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@String{pub-HARTUNG-GORRE:adr = "Konstanz, Switzerland"}
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@String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht,
The Netherlands"}
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@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,
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@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"}
@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,
}
@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.",
}
@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",
}
