%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "1.03",
%%% date = "15 November 2014",
%%% time = "15:57:06 MDT",
%%% filename = "stewart-gilbert-w.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "http://www.math.utah.edu/~beebe",
%%% checksum = "63319 9806 43971 457864",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "bibliography; BibTeX; Gilbert Wright `Pete'
%%% Stewart III; numerical analysis",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is an almost-complete bibliography of
%%% works by, and about, the influential
%%% numerical analyst, Gilbert Wright (``Pete'')
%%% Stewart III, Professor Emeritus of the
%%% Department of Computer Science, University of
%%% Maryland. The generational suffix III was no
%%% longer used in publications after the early
%%% 1970s.
%%%
%%% Professor Stewart's personal Web site
%%% is at
%%%
%%% http://www.cs.umd.edu/~stewart/
%%%
%%% At version 1.03, the year coverage looked
%%% like this:
%%%
%%% 1967 ( 2) 1983 ( 4) 1999 ( 5)
%%% 1968 ( 2) 1984 ( 10) 2000 ( 4)
%%% 1969 ( 9) 1985 ( 4) 2001 ( 5)
%%% 1970 ( 5) 1986 ( 10) 2002 ( 4)
%%% 1971 ( 6) 1987 ( 9) 2003 ( 3)
%%% 1972 ( 4) 1988 ( 8) 2004 ( 2)
%%% 1973 ( 5) 1989 ( 6) 2005 ( 2)
%%% 1974 ( 6) 1990 ( 14) 2006 ( 2)
%%% 1975 ( 5) 1991 ( 15) 2007 ( 0)
%%% 1976 ( 12) 1992 ( 6) 2008 ( 1)
%%% 1977 ( 5) 1993 ( 14) 2009 ( 3)
%%% 1978 ( 4) 1994 ( 15) 2010 ( 3)
%%% 1979 ( 10) 1995 ( 10) 2011 ( 1)
%%% 1980 ( 2) 1996 ( 3) 2012 ( 0)
%%% 1981 ( 5) 1997 ( 12) 2013 ( 1)
%%% 1982 ( 2) 1998 ( 13)
%%%
%%% Article: 161
%%% Book: 11
%%% InCollection: 8
%%% InProceedings: 25
%%% PhdThesis: 1
%%% Proceedings: 32
%%% TechReport: 35
%%%
%%% Total entries: 273
%%%
%%% Entries in this bibliography have been
%%% derived mainly from bibliographies in the
%%% BibNet Project and TeX User Group
%%% bibliography archives, from the ACM Portal,
%%% AMS MathSciNet, EMS zbMATH, and IEEE eXplore
%%% databases, and from the University of
%%% Maryland Institute for Advanced Computer
%%% Studies (UMIACS) publication list at
%%%
%%% http://www.umiacs.umd.edu/publications/export/bibtex
%%%
%%% Additional data, including the tables of
%%% contents of most of the edited books and
%%% proceedings recorded here, have been obtained
%%% from numerous library catalog searches.
%%%
%%% Digital Object Identifier (DOI) or Uniform
%%% Resource Locator (URL) values have been found
%%% and recorded for about half of the journal
%%% articles.
%%%
%%% All of the books, reports, and papers in the
%%% Stewart publication list in the Selected
%%% Works volume (entry Stewart:2010:GWS) are
%%% included here, and cross-referenced to that
%%% list by a GWS-number key/value pair. That
%%% list records 1 technical report, 121 journal
%%% articles, 8 books, and 37 conference papers:
%%% 167 in all. At version 1.00 of this
%%% bibliography, Part 1 (Stewart's publications)
%%% contained 229 entries, of which 166 have
%%% GWS-number values, and Part 3
%%% (cross-referenced publications) has 1
%%% GWS-number value.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen
%%% as name:year:abbrev, where name is the
%%% family name of the first author or editor,
%%% year is a 4-digit number, and abbrev is a
%%% 3-letter condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% In this bibliography, entries are sorted
%%% first by ascending year, and within each
%%% year, alphabetically by author or editor,
%%% and then, if necessary, by the 3-letter
%%% abbreviation at the end of the BibTeX
%%% citation tag, using the bibsort -byyear
%%% utility. Cross-referenced proceedings
%%% entries appear at the end, because of a
%%% restriction in the current BibTeX.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
@Preamble{"\input bibnames.sty "
# "\input path.sty "
# "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
# "\ifx \undefined \ocirc \def \ocirc #1{{\accent'27#1}}\fi"
# "\ifx \undefined \r \let \r = \ocirc \fi"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
%%% ====================================================================
%%% Institution abbreviations:
@String{inst-CS-U-MARYLAND = "Department of Computer Science,
University of Maryland"}
@String{inst-CS-U-MARYLAND:adr = "College Park, MD, USA"}
@String{inst-IMA = "Institute for Mathematics and Its
Applications, University of Minnesota"}
@String{inst-IMA = "Institute for Mathematics and its
Applications, University of Minnesota"}
@String{inst-IMA:adr = "Minneapolis, MN, USA"}
@String{inst-LASL = "Los Alamos Scientific Laboratory"}
@String{inst-LASL:adr = "Los Alamos, NM, USA"}
@String{inst-MATHWORKS = "The MathWorks, Inc."}
@String{inst-MATHWORKS:adr = "3 Apple Hill Drive, Natick, MA 01760-2098,
USA"}
@String{inst-ORNL = "Oak Ridge National Laboratory"}
@String{inst-ORNL:adr = "Knoxville, TN, USA"}
@String{inst-STANFORD-CS = "Department of Computer Science,
Stanford University"}
@String{inst-STANFORD-CS:adr = "Stanford, CA"}
@String{inst-U-MARYLAND = "University of Maryland"}
@String{inst-U-MARYLAND:adr = "College Park, MD, USA"}
@String{inst-U-TEXAS-AUSTIN = "University of Texas at Austin"}
@String{inst-U-TEXAS-AUSTIN:adr = "Austin, TX, USA"}
@String{inst-UMIACS = "Institute for Advanced Computer Studies,
University of Maryland"}
@String{inst-UMIACS:adr = "College Park, MD, USA"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACM = "J. Assoc. Comput. Mach."}
@String{j-AM-SCI = "American Scientist"}
@String{j-ANN-HIST-COMPUT = "Annals of the History of Computing"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-CACM = "Communications of the Association
for Computing Machinery"}
@String{j-COMPUT-GRAPH-STAT = "Journal of Computational and Graphical
Statistics"}
@String{j-COMPUT-SCI-ENG = "Computing in Science and Engineering"}
@String{j-CPE = "Concurrency: Prac\-tice and Experience"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis (ETNA)"}
@String{j-FORTRAN-FORUM = "ACM Fortran Forum"}
@String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"}
@String{j-IEEE-TRANS-INSTRUM-MEAS = "IEEE Transactions on Instrumentation and Measurement"}
@String{j-IEEE-TRANS-SIG-PROC = "IEEE Transactions on Signal Processing"}
@String{j-IMA-J-NUMER-ANAL = "IMA Journal of Numerical Analysis"}
@String{j-ISIS = "Isis"}
@String{j-J-ACM = "Journal of the Association for Computing
Machinery"}
@String{j-J-COMPUT-GRAPH-STAT = "Journal of Computational and Graphical
Statistics"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-INST-MATH-APPL = "Journal of the Institute of
Mathematics and its Applications"}
@String{j-J-SUPERCOMPUTING = "The Journal of Supercomputing"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and Its Applications"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-PROG = "Mathematical Programming"}
@String{j-NA-DIGEST = "NA Digest"}
@String{j-NUM-LIN-ALG-APPL = "Numerical Linear Algebra with Applications"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-J-SCI-COMP = "SIAM Journal on Scientific Computing"}
@String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and
Statistical Computing"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGNUM = "ACM SIGNUM Newsletter"}
@String{j-STAT-SCI = "Statistical Science"}
@String{j-STOCH-MODELS = "Stochastic Models"}
@String{j-TOMS = "ACM Transactions on Mathematical
Software"}
%%% ====================================================================
%%% Publishers and their addresses:
@String{pub-ACADEMIC = "Academic Press Inc."}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-AW = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr = "Reading, MA, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"{a}}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-DEKKER = "Marcel Dekker, Inc."}
@String{pub-DEKKER:adr = "New York, NY, USA"}
@String{pub-ELSEVIER = "Elsevier"}
@String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"}
@String{pub-ESP = "Elsevier Science Publishers B.V."}
@String{pub-ESP:adr = "Amsterdam, The Netherlands"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300,
Silver Spring, MD 20910, USA"}
@String{pub-KLUWER = "Kluwer Academic Publishers Group"}
@String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht,
The Netherlands"}
@String{pub-LONGMAN = "Longman Scientific and Technical"}
@String{pub-LONGMAN:adr = "Harlow, Essex"}
@String{pub-NORTH-HOLLAND = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Oxford, UK"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Englewood Cliffs, NJ 07632, USA"}
@String{pub-PHYSICA-VERLAG = "Physica-Verlag"}
@String{pub-PHYSICA-VERLAG:adr = "Vienna, Austria; Heidelberg, Germany"}
@String{pub-SIAM = "SIAM (Society for Industrial and Applied
Mathematics)"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
@String{pub-SPRINGER = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SPRINGER:adr-NY = "New York"}
@String{pub-WILEY-INTERSCIENCE = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WILEY-INTERSCIENCE:adr = "New York, NY, USA"}
%%% ====================================================================
%%% Series abbreviations:
@String{ser-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
%%% ====================================================================
%%% Part 1 (of 2) --- G. W. Stewart and his works
%%%
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with ``bibsort -byyear'':
%%% TO DO:
%%%
%%% Find this cited, but possibly unpublished, paper:
%%%
%%% Stewart, G. W., III, "On Some Methods for Solving Equations Related
%%% to Schroder's Iterations," submitted to Soc. Ind. Appl. Math. Rev.
@Article{Stewart:1967:GTF,
author = "G. W. {Stewart III}",
title = "A generalization of a theorem of {Fan} on {Gershgorin}
disks",
journal = j-NUM-MATH,
volume = "10",
pages = "162--162",
year = "1967",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02174149",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Thu May 29 14:46:06 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See original paper by Fan at
\path=http://dx.doi.org/10.1215/S0012-7094-58-02538-9=,
\path=https://zbmath.org/?q=an:0081.25202=.",
URL = "http://zbmath.org/?q=an:0158.03504",
ZMnumber = "0158.03504",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J2",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Stewart:1967:MDM,
author = "G. W. {Stewart III}",
title = "A Modification of {Davidon}'s Minimization Method to
Accept Difference Approximations to Derivatives",
journal = j-J-ACM,
volume = "14",
number = "1",
pages = "72--83",
month = jan,
year = "1967",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Tue Nov 1 09:42:13 1994",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
GWS-number = "J1",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
keywords = "nlop; quasi-Newton",
}
@Article{Stewart:1968:NAN,
author = "G. W. {Stewart III} and Dale W. Lick",
title = "Numerical Analysis: Numerical solution of a thin plate
heat transfer problem",
journal = j-CACM,
volume = "11",
number = "9",
pages = "639--641",
month = sep,
year = "1968",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65.68",
MRnumber = "39\#2356",
bibdate = "Fri Nov 25 18:20:21 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
abstract = "The numerical solution of a system of linear equations
resulting from a discrete approximation to a thin plate
heat transfer problem is considered. The slow
convergence of point iterative methods is analyzed and
shown to be caused by one of the boundary conditions.
The difficulty may be removed by a standard line
iterative technique.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
GWS-number = "J3",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "block SOR; boundary value problem; heat transfer
problem; Poisson equation; successive overrelaxation
(SOR); thin domain",
xxpages = "639--640",
}
@TechReport{Stewart:1968:STNa,
author = "Gilbert Wright {Stewart III}",
title = "Some Topics in Numerical Analysis",
type = "Report",
number = "ORNL-4303",
institution = inst-ORNL,
address = inst-ORNL:adr,
pages = "vi + 71",
month = sep,
year = "1968",
bibdate = "Wed May 28 18:25:01 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://www.ornl.gov/info/reports/1968/3445605155079.pdf",
acknowledgement = ack-nhfb,
GWS-number = "T1",
remark = "Copy of \cite{Stewart:1969:STNb}.",
tableofcontents = "I: Lehmer's method for finding the zeros of a
polynomial 1 \\
Introduction / 1 \\
Lehmer's Method / 2 \\
Rounding Error / 11 \\
Error Analysis of the Shifting Algorithm / 21 \\
Error Analysis of the Cohn Algorithm / 27 \\
Asymptotic Behavior / 35 \\
II: Accelerating the orthogonal iteration for the
eigenvectors of a Hermitian matrix / 40 \\
Introduction / 40 \\
A Refinement Procedure for Approximate Eigenvectors /
43 \\
Convergence of the Orthogonal Iteration / 45 \\
Some Miscellaneous Theorems / 49 \\
Accuracy of the Refined Eigenvalues / 58 \\
Accuracy of the Refined Eigenvectors / 65 \\
Bibliography / 71",
}
@InCollection{Householder:1969:BHD,
author = "A. S. Householder and G. W. {Stewart III}",
title = "Bigradients, {Hankel} determinants, and the {Pad{\'e}}
table",
crossref = "Dejon:1969:CAF",
pages = "131--150",
year = "1969",
MRclass = "65.35",
MRnumber = "0266406 (42 \#1312)",
MRreviewer = "J. F. Traub",
bibdate = "Thu May 29 16:03:11 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N1",
}
@Article{Householder:1969:CSI,
author = "A. S. Householder and G. W. Stewart",
title = "Comments on {``Some iterations for factoring a
polynomial''}",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "470--471",
month = oct,
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Thu Jan 13 08:40:53 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Stewart:1969:AOI,
author = "G. W. Stewart",
title = "Accelerating the orthogonal iteration for the
eigenvectors of a {Hermitian} matrix",
journal = j-NUM-MATH,
volume = "13",
number = "4",
pages = "362--376",
month = aug,
year = "1969",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02165413",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 19:01:15 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://zbmath.org/?q=an:0185.40203",
ZMnumber = "0185.40203",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J5",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Stewart:1969:CGI,
author = "G. W. Stewart",
title = "On the Continuity of the Generalized Inverse",
journal = j-SIAM-J-APPL-MATH,
volume = "17",
number = "1",
pages = "33--45",
month = jan,
year = "1969",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
GWS-number = "J4",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Stewart:1969:LMF,
author = "G. W. {Stewart III}",
title = "On {Lehmer}'s Method for Finding the Zeros of a
Polynomial",
journal = j-MATH-COMPUT,
volume = "23",
number = "108",
pages = "829--835, s24--s30",
month = oct,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database; Theory/Matrix.bib",
note = "See corrigendum \cite{Stewart:1971:CLM}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
GWS-number = "J7",
journal-URL = "http://www.ams.org/mcom/",
kwds = "nlop, polynomial, Lehmer's method",
xxpages = "829--836, s24--s30",
}
@Article{Stewart:1969:SIF,
author = "G. W. Stewart",
title = "Some iterations for factoring a polynomial",
journal = j-NUM-MATH,
volume = "13",
number = "5",
pages = "458--470",
month = oct,
year = "1969",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02163273",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Thu Jan 13 08:40:53 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://zbmath.org/?q=an:0181.17401",
ZMnumber = "0181.17401",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J6",
journal-URL = "http://link.springer.com/journal/211",
xxpages = "458--471",
}
@TechReport{Stewart:1969:STF,
author = "G. W. {Stewart III}",
title = "A Set Theoretic Formulation of Backward Rounding Error
Analysis",
type = "Computation Center Report",
number = "TNN-92",
institution = inst-U-TEXAS-AUSTIN,
address = inst-U-TEXAS-AUSTIN:adr,
pages = "????",
month = "????",
year = "1969",
bibdate = "Thu May 29 16:09:20 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N2",
}
@PhdThesis{Stewart:1969:STNb,
author = "Gilbert Wright {Stewart III}",
title = "Some Topics in Numerical Analysis",
type = "{Ph.D.} dissertation",
school = "University of Tennessee, Knoxville",
address = "Knoxville, TN, USA",
month = may,
year = "1969",
bibdate = "Wed May 28 10:56:30 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://genealogy.math.ndsu.nodak.edu/id.php?id=58767;
http://search.proquest.com/docview/302349990;
http://www.ornl.gov/info/reports/1968/3445605155079.pdf",
acknowledgement = ack-nhfb,
advisor = "Alston Scott Householder",
tableofcontents = "I: Lehmer's method for finding the zeros of a
polynomial 1 \\
Introduction / 1 \\
Lehmer's Method / 2 \\
Rounding Error / 11 \\
Error Analysis of the Shifting Algorithm / 21 \\
Error Analysis of the Cohn Algorithm / 27 \\
Asymptotic Behavior / 35 \\
II: Accelerating the orthogonal iteration for the
eigenvectors of a Hermitian matrix / 40 \\
Introduction / 40 \\
A Refinement Procedure for Approximate Eigenvectors /
43 \\
Convergence of the Orthogonal Iteration / 45 \\
Some Miscellaneous Theorems / 49 \\
Accuracy of the Refined Eigenvalues / 58 \\
Accuracy of the Refined Eigenvectors / 65 \\
Bibliography / 71",
}
@Article{Stewart:1970:AAE,
author = "G. W. Stewart",
title = "{ACM Algorithm 384}: Eigenvalues and Eigenvectors of a
Real Symmetric Matrix [{F2}]",
journal = j-CACM,
volume = "13",
number = "6",
pages = "369--371",
month = jun,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
note = "See errata \cite{Stewart:1970:RAE}.",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra); C7300 (Natural sciences
computing)",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Communications of the ACM",
GWS-number = "J10",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "eigenvalues; eigenvalues and eigenfunctions;
eigenvectors; matrix algebra; QR algorithm; real
symmetric matrix; subroutines",
kwds = "nla, eig, QR algorithm, symmetric matrix",
}
@Article{Stewart:1970:CSS,
author = "G. W. Stewart",
title = "On the Convergence of {Sebasti{\~a}o e Silva}'s Method
for Finding a Zero of a Polynomial",
journal = j-SIAM-REVIEW,
volume = "12",
number = "3",
pages = "458--460",
month = "????",
year = "1970",
CODEN = "SIREAD",
DOI = "http://dx.doi.org/10.1137/1012085",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:20 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/12/3;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://zbmath.org/?q=an:0198.20905",
ZMnumber = "0198.20905",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
GWS-number = "J11",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1970",
}
@Article{Stewart:1970:IOS,
author = "G. W. Stewart",
title = "Incorporating Origin Shifts into the {QR} Algorithm
for Symmetric Tridiagonal Matrices",
journal = j-CACM,
volume = "13",
number = "6",
pages = "365--367",
month = jun,
year = "1970",
CODEN = "CACMA2",
DOI = "http://dx.doi.org/10.1145/362384.362501",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib;
ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
URL = "http://zbmath.org/?q=an:0195.45001",
ZMnumber = "0195.45001",
abstract = "The $ Q R $ iteration for the eigenvalues of a
symmetric tridiagonal matrix can be accelerated by
incorporating a sequence of origin shifts. The origin
shift may be either subtracted directly from the
diagonal elements of the matrix or incorporated by
means of an implicit algorithm. Both methods have
drawbacks-the direct method can unnecessarily degrade
small eigenvalues, while the implicit method can
effectively loose the shift and thereby retard the
convergence. A new method which has neither drawback is
presented. Both the algorithm proposed here and the
implicit algorithm are safer than the explicit
algorithm. The implicit algorithm requires somewhat
less computation, but the new algorithm will give
faster convergence in some cases, an important
consideration when eigenvectors are being calculated.",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Univ. Tex., Austin, TX, USA",
fjournal = "Communications of the ACM",
GWS-number = "J9",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
journalabr = "Commun ACM",
keywords = "computers, data processing; convergence of numerical
methods; eigenfunctions; eigenvalues; eigenvalues and;
eigenvectors; iterative methods; mathematics; matrix
algebra; origin shifts; QR method; symmetric
tridiagonal matrix; tridiagonal matrices",
kwds = "nla, eig, QR algorithm, symmetric matrix, tridiagonal
matrix",
}
@Article{Stewart:1970:RAE,
author = "G. W. Stewart",
title = "Remark on ``{Algorithm 384}: Eigenvalues and
Eigenvectors of a Real Symmetric Matrix [{F2}]''",
journal = j-CACM,
volume = "13",
number = "12",
pages = "750--750",
month = dec,
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Apr 08 20:40:01 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
note = "See \cite{Stewart:1970:AAE}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "eigenvalues; eigenvectors; QR algorithm; real
symmetric matrix",
kwds = "nla, eig, QR algorithm, symmetric matrix",
}
@Article{Stewart:1970:SIF,
author = "G. W. Stewart",
title = "On {Samelson}'s iteration for factoring polynomials",
journal = j-NUM-MATH,
volume = "15",
number = "4",
pages = "306--314",
month = aug,
year = "1970",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF02165121",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRnumber = "65H05 65D05",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://zbmath.org/?q=an:0231.65050",
ZMnumber = "0231.65050",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J8",
journal-URL = "http://link.springer.com/journal/211",
keywords = "iterative methods; polynomials",
}
@Article{Householder:1971:NFP,
author = "A. S. Householder and G. W. Stewart",
title = "The Numerical Factorization of a Polynomial",
journal = j-SIAM-REVIEW,
volume = "13",
number = "1",
pages = "38--46",
month = "????",
year = "1971",
CODEN = "SIREAD",
DOI = "http://dx.doi.org/10.1137/1013002",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:25 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/13/1;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
GWS-number = "J12",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1971",
}
@TechReport{Moler:1971:AGM,
author = "Cleve B. Moler and Gilbert W. Stewart",
title = "An algorithm for the generalized matrix eigenvalue
problem {$ A x = \lambda B x $}",
type = "Technical Report",
number = "STAN-CS-71-232",
institution = inst-STANFORD-CS,
address = inst-STANFORD-CS:adr,
pages = "50",
year = "1971",
bibdate = "Sat Apr 07 09:36:51 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
note = "Issued jointly as report CNA 32 by the Center for
Numerical Analysis, the University of Texas at
Austin.",
acknowledgement = ack-nhfb,
}
@Article{Stewart:1971:CLM,
author = "G. W. {Stewart III}",
title = "Corrigendum: {``On Lehmer's Method for Finding the
Zeros of a Polynomial''}",
journal = j-MATH-COMPUT,
volume = "25",
number = "113",
pages = "203--203",
month = jan,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
note = "See \cite{Stewart:1969:LMF}.",
acknowledgement = ack-nhfb,
GWS-number = "J7",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Stewart:1971:COA,
author = "G. W. Stewart",
title = "On a companion operator for analytic functions",
journal = j-NUM-MATH,
volume = "18",
number = "1",
pages = "26--43",
month = feb,
year = "1971",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/BF01398457",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRnumber = "65H99 15A06 15A57",
bibdate = "Mon Oct 18 20:12:42 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://zbmath.org/?q=an:0211.18805",
ZMnumber = "0211.18805; 0217.52705",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J14",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Stewart:1971:EAA,
author = "G. W. Stewart",
title = "Error Analysis of the Algorithm for Shifting the Zeros
of a Polynomial by Synthetic Division",
journal = j-MATH-COMPUT,
volume = "25",
number = "113",
pages = "135--139",
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
GWS-number = "J13",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Stewart:1971:EBA,
author = "G. W. Stewart",
title = "Error Bounds for Approximate Invariant Subspaces of
Closed Linear Operators",
journal = j-SIAM-J-NUMER-ANAL,
volume = "8",
number = "4",
pages = "796--808",
month = dec,
year = "1971",
CODEN = "SJNAAM",
DOI = "http://dx.doi.org/10.1137/0708073",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRnumber = "47A15 47A55 47A75",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://zbmath.org/?q=an:0232.47010",
ZMnumber = "0232.47010",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J15",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Bartels:1972:AAS,
author = "Richard H. Bartels and G. W. Stewart",
title = "{ACM Algorithm 432}: Solution of the Matrix Equation
{{\boldmath $ A X + X B = C $}} [{F4}]",
journal = j-CACM,
volume = "15",
number = "9",
pages = "820--826",
month = sep,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:23:37 MST 2001",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/par.lin.alg.bib;
ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#BartelsS72;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
GWS-number = "J17",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "linear algebra; linear equations; matrices",
kwds = "nla, Schur form, Sylvester equation, Lyapunov
equation, matrix equation",
oldlabel = "BartelsS72",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/BartelsS72",
}
@Article{Hoberock:1972:IRP,
author = "L. L. Hoberock and G. W. {Stewart III}",
title = "Input Requirements and Parametric Errors for Systems
Identification under Periodic Excitement",
journal = "AMSE {Transactions}",
volume = "94",
number = "??",
pages = "296--302",
month = "????",
year = "1972",
ISSN = "0761-2532",
ISSN-L = "0761-2532",
bibdate = "Thu May 29 16:10:45 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N3",
keywords = "Association for the Advancement of Modelling and
Simulation Techniques in Enterprises",
}
@TechReport{Moler:1972:AGM,
author = "C. B. Moler and G. W. Stewart",
title = "An algorithm for generalized matrix eigenvalue
problems",
type = "Report",
number = "TR-3",
institution = "University of Michigan",
address = "Ann Arbor, MI, USA",
pages = "50",
month = feb,
year = "1972",
MRnumber = "65F15",
bibdate = "Fri Mar 21 15:55:27 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://zbmath.org/?q=an:0225.65046",
ZMnumber = "0225.65046",
abstract = "A method, called the $ Q Z $ algorithm, is presented
for the solution of the matrix eigenvalue problem $ A x
= \lambda B x $ with the general square matrices $A$
and $B$. Particular attention is paid to the
degeneracies which result when $B$ is singular. No
inversions of $B$ or its submatrices are used. The
algorithm is a generalization of the $ Q R$ algorithm,
and reduces to it when $ B = I$. Problems involving
powers of $ \lambda $ are also mentioned",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Univ. Michigan, Ann Arbor, MI, USA",
keywords = "algorithm; degeneracies; eigenvalues and
eigenfunctions; generalized matrix eigenvalue problems;
matrix algebra; methods; numerical; QZ",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1972:SEP,
author = "G. W. Stewart",
title = "On the Sensitivity of the Eigenvalue Problem {$ A x =
\lambda B x $}",
journal = j-SIAM-J-NUMER-ANAL,
volume = "9",
number = "4",
pages = "669--686",
month = dec,
year = "1972",
CODEN = "SJNAAM",
DOI = "http://dx.doi.org/10.1137/0709056",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRnumber = "65F15 15A18 15A42",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://zbmath.org/?q=an:0252.65026",
ZMnumber = "0252.65026",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J16",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Moler:1973:AGM,
author = "C. B. Moler and G. W. Stewart",
title = "An Algorithm for Generalized Matrix Eigenvalue
Problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "10",
number = "2",
pages = "241--256",
month = apr,
year = "1973",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRnumber = "65F15",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://zbmath.org/?q=an:0225.65046",
ZMnumber = "0225.65046",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. New Mexico, Albuquerque, NM, USA",
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J18",
journal-URL = "http://epubs.siam.org/sinum",
keywords = "algorithm; degeneracies; eigenvalues and
eigenfunctions; general square; generalization of the
QR; generalized matrix eigenvalue problems; matrices;
matrix algebra; nla, geig, QZ algorithm; singular",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1973:CDM,
author = "G. W. Stewart",
title = "Conjugate direction methods for solving systems of
linear equations",
journal = j-NUM-MATH,
volume = "21",
number = "4",
pages = "285--297",
month = aug,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J20",
journal-URL = "http://link.springer.com/journal/211",
keywords = "conjugate; conjugate direction methods; iterations;
iterative methods; matrix; matrix algebra; systems of
linear equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1973:EPB,
author = "G. W. Stewart",
title = "Error and Perturbation Bounds for Subspaces Associated
with Certain Eigenvalue Problems",
journal = j-SIAM-REVIEW,
volume = "15",
number = "4",
pages = "727--764",
month = "????",
year = "1973",
CODEN = "SIREAD",
DOI = "http://dx.doi.org/10.1137/1015095",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:06:54 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/15/4;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
GWS-number = "J19",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "October 1973",
}
@Book{Stewart:1973:IMC,
author = "G. W. Stewart",
title = "Introduction to Matrix Computations",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 441",
year = "1973",
ISBN = "0-12-670350-7",
ISBN-13 = "978-0-12-670350-4",
LCCN = "QA188 .S71 1973",
bibdate = "Wed Sep 28 14:04:23 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
series = "Computer Science and Applied Mathematics, Editor:
Werner Rheinboldt",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/658076.html;
http://catdir.loc.gov/catdir/description/els031/72082636.html;
http://catdir.loc.gov/catdir/toc/els031/72082636.html;
http://www.gbv.de/dms/hbz/toc/ht000832348.pdf",
acknowledgement = ack-njh # " and " # ack-nhfb,
GWS-number = "B1",
tableofcontents = "\\
Preface / ix \\
Acknowledgments / xiii \\
1. Preliminaries \\
\\
1. The Space $R^n$ / 2 \\
2. Linear Independence, Subspaces, and Bases / 9 \\
3. Matrices / 20 \\
4. Operations with Matrices / 29 \\
5. Linear Transformations and Matrices / 46 \\
6. Linear Equations and Inverses / 54 \\
7. A Matrix Reduction and Some Consequences / 63 \\
\\
2. Practicalities \\
\\
1. Errors, Arithmetic, and Stability / 69 \\
2. An Informal Language / 83 \\
3. Coding Matrix Operations / 93 \\
3. The Direct Solution of Linear Systems \\
\\
1. Triangular Matrices and Systems / 106 \\
2. Gaussian Elimination / 113 \\
3. Triangular Decomposition / 131 \\
4. The Solution of Linear Systems / 144 \\
5. The Effects of Rounding Error / 148 \\
\\
4. Norms, Limits, and Condition Numbers \\
\\
1. Norms and Limits / 161 \\
2. Matrix Norms / 173 \\
3. Inverses of Perturbed Matrices / 184 \\
4. The Accuracy of Solutions of Linear Systems / 192
\\
5. Iterative Refinement of Approximate Solutions of
Linear Systems / 200 \\
\\
5. The Linear Least Squares Problem \\
1. Orthogonality / 209 \\
2. The Linear Least Squares Problem / 217 \\
3. Orthogonal Triangularization / 230 \\
4. The Iterative Refinement of Least Squares Solutions
/ 245 \\
\\
6. Eigenvalues and Eigenvectors \\
\\
1. The Space $\mathbb{C}^n$ / 251 \\
2. Eigenvalues and Eigenvectors / 262 \\
3. Reduction of Matrices by Similarity Transformations
/ 275 \\
4. The Sensitivity of Eigenvalues and Eigenvectors /
289 \\
5. Hermitian Matrices / 307 \\
6. The Singular Value Decomposition / 317 \\
\\
7. The $QR$ Algorithm \\
\\
1. Reduction to Hessenberg and Tridiagonal Forms / 328
\\
2. The Power and Inverse Power Methods / 340 \\
3. The Explicitly Shifted $QR$ Algorithm / 351 \\
4. The Implicitly Shifted $QR$ Algorithm / 368 \\
5. Computing Singular Values and Vectors / 381 \\
6. The Generalized Eigenvalue Problem $A - \lambda B$ /
387 \\
\\
Appendix 1. The Greek Alphabet and Latin Notational
Correspondents / 395 \\
\\
Appendix 2. Determinants / 396 \\
Appendix 3. Rounding-Error Analysis of Solution of
Triangular Systems and of Gaussian Elimination / 405
\\
\\
Appendix 4. Of Things Not Treated / 413 \\
Bibliography / 417 \\
Index of Notation / 425 \\
Index of Algorithms / 427 \\
Index / 429",
}
@Article{Stewart:1973:SIF,
author = "G. W. Stewart",
title = "Some iterations for factoring a polynomial. {II}: {A}
generalization of the secant method",
journal = j-NUM-MATH,
volume = "22",
number = "1",
pages = "33--36",
month = feb,
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Oct 17 16:12:48 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J21",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Blevins:1974:CED,
author = "M. M. Blevins and G. W. Stewart",
title = "Calculating the Eigenvectors of Diagonally Dominant
Matrices",
journal = j-J-ACM,
volume = "21",
number = "2",
pages = "261--271",
month = apr,
year = "1974",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/jacm.bib",
abstract = "An algorithm is proposed for calculating the
eigenvectors of a diagonally dominant matrix all of
whose elements are known to high relative accuracy.
Eigenvectors corresponding to pathologically close
eigenvalues are treated by computing the invariant
subspace that they span. If the off-diagonal elements
of the matrix are sufficiently small, the method is
superior to standard techniques, and indeed it may
produce a complete set of eigenvectors with an amount
of work proportional to the square of the order of the
matrix. An analysis is given of the effects of
perturbations in the matrix on the eigenvectors.",
acknowledgement = ack-nhfb,
classification = "921",
fjournal = "Journal of the Association for Computing Machinery",
GWS-number = "J24",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "diagonal dominance; eig; mathematical techniques;
nla",
}
@Article{Soderstrom:1974:NPI,
author = "Torsten S{\"o}derstr{\"o}m and G. W. Stewart",
title = "On the Numerical Properties of an Iterative Method for
Computing the {Moore--Penrose} Generalized Inverse",
journal = j-SIAM-J-NUMER-ANAL,
volume = "11",
number = "1",
pages = "61--74",
month = mar,
year = "1974",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J23",
journal-URL = "http://epubs.siam.org/sinum",
kwds = "nla, ginv, iter",
}
@Article{Stewart:1974:CMI,
author = "G. W. Stewart",
title = "The Convergence of Multipoint Iterations to Multiple
Zeros",
journal = j-SIAM-J-NUMER-ANAL,
volume = "11",
number = "6",
pages = "1105--1120",
month = dec,
year = "1974",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J22",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Stewart:1974:MPE,
author = "G. W. Stewart",
title = "Modifying Pivot Elements in {Gaussian} Elimination",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "537--542",
month = apr,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA",
fjournal = "Mathematics of Computation",
GWS-number = "J25",
journal-URL = "http://www.ams.org/mcom/",
keywords = "analysis; Gaussian elimination; inverse; matrix
algebra; pivot elements; pivoting; rank one
modification; rounding error; sparseness; stable",
kwds = "nla, sparse, linear system, lud, pivoting",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Stewart:1974:NTL,
author = "G. W. Stewart",
title = "The Numerical Treatment of Large Eigenvalue Problems",
crossref = "Rosenfeld:1974:IPP",
pages = "666--672",
year = "1974",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N4",
}
@Article{Stewart:1975:CMC,
author = "G. W. Stewart",
title = "The Convergence of the Method of Conjugate Gradients
at Isolated Extreme Points in the Spectrum",
journal = j-NUM-MATH,
volume = "24",
number = "2",
pages = "85--93",
month = apr,
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Carnegie-Mellon Univ., Computer Sci. Dept.,
Pittsburgh, PA, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J26",
journal-URL = "http://link.springer.com/journal/211",
keywords = "bounds; convergence; convergence of numerical methods;
eigenvalue; eigenvalues and eigenfunctions; error
vectors; isolated extreme points; linear system; matrix
algebra; method of conjugate gradients",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1975:GTG,
author = "G. W. Stewart",
title = "{Gershgorin} Theory for the Generalized Eigenvalue
Problem {$ A x = \lambda B x $}",
journal = j-MATH-COMPUT,
volume = "29",
number = "130",
pages = "600--606",
month = apr,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database; Parallel/par.lin.alg.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. Computer Sci., Carnegie-Mellon Univ.,
Pittsburgh, PA, USA",
fjournal = "Mathematics of Computation",
GWS-number = "J27",
journal-URL = "http://www.ams.org/mcom/",
keywords = "chordal metric; eigenvalues and eigenfunctions;
generalized eigenvalue problem; Gershgorin's theorem;
infinite eigenvalues; linear algebra; multiple
eigenvalues; perturbation bounds; Riemann sphere",
kwds = "la, pert, geig, Gerschgorin's theorem",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1975:IPT,
author = "G. W. Stewart",
title = "An inverse perturbation theorem for the linear least
squares problem",
journal = j-SIGNUM,
volume = "10",
number = "2--3",
pages = "39--40",
month = nov,
year = "1975",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Tue Apr 12 07:50:01 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/signum.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, Baltimore,
MD, USA",
fjournal = "ACM SIGNUM Newsletter",
GWS-number = "J28",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690",
keywords = "inverse perturbation theorem; least squares
approximations; linear least squares; matrix;
minimisation; perturbation techniques; vectors",
mynote = "Nov",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Stewart:1975:MSI,
author = "G. W. Stewart",
title = "Methods of Simultaneous Iteration for Calculating
Eigenvectors of Matrices",
crossref = "Miller:1975:TNA",
pages = "185--196",
year = "1975",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
GWS-number = "N5",
}
@Article{Daniel:1976:RSA,
author = "J. W. Daniel and W. B. Gragg and L. Kaufman and G. W.
Stewart",
title = "Reorthogonalization and Stable Algorithms for Updating
the {Gram--Schmidt} {$ Q R $} Factorization",
journal = j-MATH-COMPUT,
volume = "30",
number = "136",
pages = "772--795",
month = oct,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Dept. of Computer Sci. and Math., Univ. of Texas,
Austin, TX, USA",
fjournal = "Mathematics of Computation",
GWS-number = "J31",
journal-URL = "http://www.ams.org/mcom/",
keywords = "error analysis; Gram Schmidt $QR$ factorisation;
matrix algebra; process; reorthogonalization; stable
algorithms",
kwds = "nla, qrd, updating, Gram--Schmidt algorithm",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Golub:1976:RDLa,
author = "Gene H. Golub and Virginia Klema and G. W. Stewart",
title = "Rank Degeneracy and Least Squares Problems",
type = "Technical Report",
number = "TR-456",
institution = inst-U-MARYLAND,
address = inst-U-MARYLAND:adr,
pages = "????",
month = jun,
year = "1976",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/university-of-maryland.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Also published as Stanford University Computer Science
Department Technical Report STAN-CS-76-559.",
abstract = "This paper is concerned with least squares problems
when the least squares matrix \$A\$ is near a matrix
that is not of full rank. A definition of numerical
rank is given. It is shown that under certain
conditions when \$A\$ has numerical rank \$r\$ there is
a distinguished \$r\$ dimensional subspace of the
column space of \$A\$ that is insensitive to how it is
approximated by \$r\$ independent columns of \$A\$. The
consequences of this fact for the least squares problem
are examined. Algorithms are described for
approximating the stable part of the column space of
\$A\$.",
acknowledgement = ack-nhfb,
keywords = "nla, svd, qrd, condition estimation, rank
determination, pert, variable selection",
xxnote = "Check: is this the same as Golub:1976:RDLb? If so,
which report number is correct??",
}
@TechReport{Golub:1976:RDLb,
author = "G. H. Golub and Virginia Klema and G. W. {Stewart
III}",
title = "Rank Degeneracy and Least Squares Problems",
type = "Report",
number = "TR-751",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
month = "????",
year = "1976",
bibdate = "Thu May 29 16:12:45 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N6",
xxnote = "Check: is this the same as Golub:1976:RDLa? If so,
which report number is correct??",
}
@Article{Gragg:1976:SVS,
author = "W. B. Gragg and G. W. Stewart",
title = "A Stable Variant of the Secant Method for Solving
Nonlinear Equations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "13",
number = "6",
pages = "889--903",
month = dec,
year = "1976",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J29",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Stewart:1976:AHE,
author = "G. W. Stewart",
title = "{Algorithm 506}: {HQR3} and {EXCHNG}: {Fortran}
Subroutines for Calculating and Ordering the
Eigenvalues of a Real Upper {Hessenberg} Matrix
[{F2}]",
journal = j-TOMS,
volume = "2",
number = "3",
pages = "275--280",
month = sep,
year = "1976",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355694.355700",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Mon Aug 29 18:03:53 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fortran1.bib;
http://www.math.utah.edu/pub/tex/bib/fortran2.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib;
Theory/gvl.bib",
note = "See also \cite{Flamm:1982:RHE}.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
GWS-number = "J33",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "nla, eig, $QR$ algorithm, Hessenberg matrix,
software",
xxnote = "See also (in fortran2.bib) \cite{Flamm:1982:RHE}.",
}
@InCollection{Stewart:1976:BTL,
author = "G. W. Stewart",
title = "A Bibliographical Tour of the Large Sparse Generalized
Eigenvalue Problem",
crossref = "Bunch:1976:SMC",
pages = "113--130",
year = "1976",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N7",
}
@InProceedings{Stewart:1976:CVM,
author = "G. W. {Stewart III}",
title = "Compilers, Virtual Memory, and Matrix Computations",
crossref = "Hoaglin:1976:CSS",
pages = "85--88",
year = "1976",
bibdate = "Thu May 29 16:23:20 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N8",
}
@Article{Stewart:1976:DCR,
author = "G. W. Stewart",
title = "Detecting and Correcting Rank Degeneracy",
journal = j-SIAM-REVIEW,
volume = "18",
number = "4",
pages = "829--829",
month = "????",
year = "1976",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Fri Jun 21 11:25:02 MDT 2013",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Stewart:1976:ESP,
author = "G. W. Stewart",
title = "The Economical Storage of Plane Rotations",
journal = j-NUM-MATH,
volume = "25",
number = "2",
pages = "137--138",
month = jun,
year = "1976",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, College
Park, MD, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J32",
journal-URL = "http://link.springer.com/journal/211",
keywords = "compacted; economical storage; matrix algebra; matrix
computations; plane rotations; single number",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1976:SIC,
author = "G. W. Stewart",
title = "Simultaneous iteration for computing invariant
subspaces of {non-Hermitian} matrices",
journal = j-NUM-MATH,
volume = "25",
number = "2",
pages = "123--136",
month = jun,
year = "1976",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, College
Park, MD, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J30",
journal-URL = "http://link.springer.com/journal/211",
keywords = "convergence of numerical methods; convergence theory;
dominant invariant subspaces; iterative methods; matrix
algebra; nested sequence; non Hermitian matrices;
orthonormal bases; simultaneous iteration technique",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1977:PBF,
author = "G. W. Stewart",
title = "Perturbation Bounds for the {$ Q R $} Factorization of
a Matrix",
journal = j-SIAM-J-NUMER-ANAL,
volume = "14",
number = "3",
pages = "509--518",
month = jun,
year = "1977",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J34",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Stewart:1977:PPI,
author = "G. W. Stewart",
title = "On the Perturbation of Pseudo-Inverses, Projections,
and Linear Least Squares Problems",
journal = j-SIAM-REVIEW,
volume = "19",
number = "4",
pages = "634--662",
month = "????",
year = "1977",
CODEN = "SIREAD",
DOI = "http://dx.doi.org/10.1137/1019104",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:52:46 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/19/4;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
GWS-number = "J35",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "October 1977",
}
@InProceedings{Stewart:1977:RDL,
author = "G. W. Stewart",
title = "Research, Development, and {LINPACK}",
crossref = "Rice:1977:MSS",
pages = "1--14",
year = "1977",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
GWS-number = "N9",
}
@TechReport{Stewart:1977:SCE,
author = "G. W. Stewart",
title = "Sensitivity Coefficients for the Effects of Errors in
the Independent Variables in a Linear Regression",
number = "TR-571",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
year = "1977",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
}
@Article{Moler:1978:HFA,
author = "Cleve B. Moler and G. W. Stewart",
title = "On the {Householder--Fox} Algorithm for Decomposing a
Projection",
journal = j-J-COMPUT-PHYS,
volume = "28",
number = "1",
pages = "82--91",
month = jul,
year = "1978",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(78)90048-7",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 09:15:29 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999178900487",
acknowledgement = ack-nhfb,
classcodes = "A0210 (Algebra, set theory, and graph theory); A0270
(Computational techniques); C4140 (Linear algebra)",
corpsource = "Univ. of New Mexico, Albuquerque, NM, USA",
fjournal = "Journal of Computational Physics",
GWS-number = "J36",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
keywords = "approximate projection; Cholesky decomposition;
Householder--Fox algorithm; matrix algebra; orthonormal
basis for; projection range; rounding error",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Stewart:1978:PTG,
author = "G. W. Stewart",
title = "Perturbation Theory for the Generalized Eigenvalue
Problem",
crossref = "deBoor:1978:SRA",
pages = "193--206",
year = "1978",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N10",
}
@TechReport{Stewart:1978:SFS,
author = "G. W. Stewart",
title = "{SRRIT} --- {A FORTRAN} Subroutine to Calculate the
Dominant Invariant Subspaces of a Real Matrix",
type = "Technical Report",
number = "TRR-514",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
year = "1978",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fortran1.bib;
http://www.math.utah.edu/pub/tex/bib/other/g-w-stewart.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
kwds = "nla, eig, subspace iteration, invariant subspace,
software, nonsymmetric matrix",
}
@Article{Bavely:1979:ACR,
author = "Connice A. Bavely and G. W. Stewart",
title = "An Algorithm for Computing Reducing Subspaces by Block
Diagonalization",
journal = j-SIAM-J-NUMER-ANAL,
volume = "16",
number = "2",
pages = "359--367",
month = apr,
year = "1979",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F30",
MRnumber = "80c:65094",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database; Parallel/par.lin.alg.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J37",
journal-URL = "http://epubs.siam.org/sinum",
kwds = "nla, eig, invariant subspace, nonsymmetric matrix",
}
@Article{Cline:1979:ECN,
author = "A. K. Cline and C. B. Moler and G. W. Stewart and J.
H. Wilkinson",
title = "An Estimate for the Condition Number of a Matrix",
journal = j-SIAM-J-NUMER-ANAL,
volume = "16",
number = "2",
pages = "368--375",
month = apr,
year = "1979",
CODEN = "SJNAAM",
DOI = "http://dx.doi.org/10.1137/0716029",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F35 (65F05)",
MRnumber = "80g:65048",
MRreviewer = "R. P. Tewarson",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://zbmath.org/?q=an:0403.65012",
ZMnumber = "0403.65012",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Computer Sci. Dept., Univ. of Texas, Austin, TX, USA",
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J42",
journal-URL = "http://epubs.siam.org/sinum",
keywords = "cond; condition estimation; err; linear systems; math;
matrix algebra; matrix of coefficients; nla",
treatment = "T Theoretical or Mathematical",
}
@Book{Dongarra:1979:LUG,
author = "J. J. Dongarra and J. R. Bunch and C. B. Moler and G.
W. Stewart",
title = "{LINPACK} Users' Guide",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "320",
year = "1979",
ISBN = "0-89871-172-X (paperback)",
ISBN-13 = "978-0-89871-172-1 (paperback)",
LCCN = "QA76.73 .L22 L5 1979; QA184 .L56 1982; QA214 .L56
1979",
bibdate = "Mon Dec 13 15:18:20 1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/gnu.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
abstract = "The authors of this carefully structured guide are the
principal developers of LINPACK, a unique package of
Fortran subroutines for analyzing and solving various
systems of simultaneous linear algebraic equations and
linear least squares problems. This guide supports both
the casual user of LINPACK who simply requires a
library subroutine, and the specialist who wishes to
modify or extend the code to handle special problems.
It is also recommended for classroom work.",
acknowledgement = ack-nhfb,
GWS-number = "B2",
keywords = "book, Cholesky decomposition, cond, downd, linpack,
lud, lud, math, nla, qrd, qrd, soft, software, survey,
svd, svd, upd, updating",
subject = "LINPACK (Computer system); Equations, Simultaneous;
Data processing; Matrices; Data processing.; LINPACK
(Computer system); LINPACK (Syst{\`e}me d'ordinateur);
{\'E}quations simultan{\'e}es; Informatique",
tableofcontents = "General matrices \\
Band matrices \\
Positive definite matrices \\
Positive definite band matrices \\
Symmetric indefinite matrices \\
Triangular matrices \\
Tridiagonal matrices \\
The Cholesky decomposition \\
The $QR$ decomposition \\
Updating $QR$ and Cholesky decompositions \\
The singular value decomposition \\
References \\
Basic linear algebra subprograms \\
Timing data \\
Program listings \\
BLA listings",
xxauthor = "J. J. Dongarra and C. B. Moler and J. R. Bunch and G.
W. Stewart",
}
@TechReport{Moler:1979:EMF,
author = "Cleve B. Moler and G. W. (Gilbert W.) Stewart",
title = "An efficient matrix factorization for digital image
processing",
type = "Report",
number = "LA-7637-MS",
institution = inst-LASL,
address = inst-LASL:adr,
pages = "15",
month = jan,
year = "1979",
bibdate = "Tue May 25 08:46:03 2010",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
mynote = "Jan 1979, also Univ. California report UC-32",
subject = "matrices; data processing",
}
@Article{OLeary:1979:ELE,
author = "Dianne P. O'Leary and G. W. Stewart and James S.
Vandergraft",
title = "Estimating the Largest Eigenvalue of a Positive
Definite Matrix",
journal = j-MATH-COMPUT,
volume = "33",
number = "148",
pages = "1289--1292",
month = oct,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65F15",
MRnumber = "80d:65048",
bibdate = "Wed Sep 28 14:04:23 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-njh # " and " # ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, College
Park, MD, USA",
fjournal = "Mathematics of Computation",
GWS-number = "J41",
journal-URL = "http://www.ams.org/mcom/",
keywords = "dominant; eigenvalue; eigenvalues and eigenfunctions;
eigenvector; positive definite matrix; power method;
Rayleigh quotient",
kwds = "nla, eig, power method, symmetric matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1979:ERE,
author = "G. W. Stewart",
title = "The Effects of Rounding Error on an Algorithm for
Downdating a {Cholesky} Factorization",
journal = j-J-INST-MATH-APPL,
volume = "23",
number = "2",
pages = "203--213",
month = mar,
year = "1979",
CODEN = "JMTAA8",
DOI = "http://dx.doi.org/10.1093/imamat/23.2.203",
ISSN = "0020-2932",
ISSN-L = "0020-2932",
MRclass = "65G05 (65F30)",
MRnumber = "80i:65046",
MRreviewer = "H. Ratschek",
bibdate = "Fri Apr 5 05:48:27 MST 2002",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/Matrix.bib;
http://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
GWS-number = "J40",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
kwds = "math, nla, rounding error, updating, Cholesky
decomposition, qrd",
}
@Article{Stewart:1979:NPS,
author = "G. W. Stewart",
title = "A Note on the Perturbation of Singular Values",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "28",
pages = "213--216",
year = "1979",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A42",
MRnumber = "81a:15019",
MRreviewer = "J. de Pillis",
bibdate = "Wed Jan 22 17:57:24 MST 1997",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/linala1970.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J39",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "la, svd, pert",
}
@Article{Stewart:1979:PBD,
author = "G. W. Stewart",
title = "Perturbation Bounds for the Definite Generalized
Eigenvalue Problem",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "23",
pages = "69--85",
year = "1979",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A18 (65F15)",
MRnumber = "80c:15007",
MRreviewer = "F. Szidarovszky",
bibdate = "Wed Jan 22 17:57:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1970.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J38",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
xxpages = "69--86",
}
@Article{Stewart:1979:PH,
author = "G. W. Stewart",
title = "Preface: {A. S. Householder}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "28",
pages = "1--3 (1 plate)",
year = "1979",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "01A70",
MRnumber = "82g:01071",
bibdate = "Wed Jan 22 17:57:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1970.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Stewart:1980:BMI,
author = "G. W. Stewart",
title = "The behavior of a multiplicity independent
root-finding scheme in the presence of error",
journal = j-BIT,
volume = "20",
number = "4",
pages = "526--528",
month = dec,
year = "1980",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933649",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65H05 (65G05)",
MRnumber = "82b:65043",
bibdate = "Wed Jan 4 18:52:16 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=20&issue=4;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=20&issue=4&spage=526",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
GWS-number = "J44",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Stewart:1980:EGR,
author = "G. W. Stewart",
title = "The Efficient Generation of Random Orthogonal Matrices
With an Application to Condition Estimators",
journal = j-SIAM-J-NUMER-ANAL,
volume = "17",
number = "3",
pages = "403--409 (loose microfiche supplement)",
month = jun,
year = "1980",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65C99 (65F35)",
MRnumber = "83e:65018",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J43",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Stewart:1981:CDH,
author = "G. W. Stewart",
title = "Constrained definite {Hessians} tend to be well
conditioned",
journal = j-MATH-PROG,
volume = "21",
pages = "235--238",
year = "1981",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Programming",
GWS-number = "J46",
journal-URL = "http://link.springer.com/journal/10107",
}
@Article{Stewart:1981:IDN,
author = "G. W. Stewart",
title = "On the Implicit Deflation of Nearly Singular Systems
of Linear Equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "136--140",
month = jun,
year = "1981",
CODEN = "SIJCD4",
DOI = "http://dx.doi.org/10.1137/0902011",
ISSN = "0196-5204",
ISSN-L = "0196-5204",
MRclass = "65F05",
MRnumber = "82f:65030",
bibdate = "Mon Mar 31 09:58:56 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, College
Park, MD, USA",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
GWS-number = "J45",
journal-URL = "http://epubs.siam.org/loi/sjoce3",
keywords = "iterative methods; linear algebra; linear equations;
matrix algebra; nearly singular systems; sparsity",
onlinedate = "June 1981",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Stewart:1981:MCH,
author = "G. W. Stewart",
title = "Matrix calculations on hand-held calculators",
journal = j-SIGNUM,
volume = "16",
number = "1",
pages = "10--13",
month = mar,
year = "1981",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Tue Apr 12 07:50:09 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/signum.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGNUM Newsletter",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690",
}
@Article{Stewart:1982:CDP,
author = "G. W. Stewart",
title = "Computing the {$ C S $} decomposition of a partitioned
orthonormal matrix",
journal = j-NUM-MATH,
volume = "40",
number = "3",
pages = "297--306",
month = dec,
year = "1982",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F25 (65F30)",
MRnumber = "84h:65042",
MRreviewer = "John Todd",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, College
Park, MD, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J47",
journal-URL = "http://link.springer.com/journal/211",
keywords = "CS decomposition; matrix algebra; orthogonal
transformations; partitioned orthonormal matrix",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Anandalingam:1983:AIB,
author = "G. Anandalingam and R. Mathieu and L. Pittard and N.
Sinha",
booktitle = "Impacts of Recent Computer Advances on Operations
Research",
title = "Artificial intelligence based approaches for solving
hierarchical optimization problems",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "289--301",
year = "1983",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
acknowledgement = ack-nhfb,
}
@Article{Stewart:1983:CEB,
author = "G. W. Stewart",
title = "Computable Error Bounds for Aggregated {Markov}
Chains",
journal = j-J-ACM,
volume = "30",
number = "2",
pages = "271--285",
month = apr,
year = "1983",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database;
ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/jacm.bib",
abstract = "A method is described for computing the steady-state
probability vector of a nearly completely decomposable
Markov chain. The method is closely related to the one
proposed by H. A. Simon and A. Ando and developed by P.
J. Courtois. However, the method described here does
not require the determination of a completely
decomposable stochastic approximation to the transition
matrix, and hence it is applicable to nonstochastic
matrices. An error analysis of the procedure which
results in effectively computable error bounds is
given.",
acknowledgement = ack-nhfb,
classification = "922",
descriptors = "Markov process; transition matrix; eigenvalue; error
bound; transient Markov chain; steady state",
fjournal = "Journal of the Association for Computing Machinery",
GWS-number = "J48",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
journalabr = "J Assoc Comput Mach",
keywords = "aggregation; eig; Markov chain; nla; pert;
probability",
remark = "For some discrete finite Markov chains, the matrix a
of transition probabilities can be partitioned so that
the off diagonal blocks are smaller (in norm) than the
square submatrices on the diagonal. Thus, a can be
approximated by a block-diagonal matrix. The
computation of the left eigenvector with eigenvalue 1,
which gives the steady-state probabilities of the
chain, then reduces to the computation of left
eigenvectors of the submatrices on \ldots{}.",
}
@Article{Stewart:1983:MCG,
author = "G. W. Stewart",
title = "A method for computing the generalized singular value
decomposition",
journal = j-LECT-NOTES-MATH,
volume = "973",
pages = "207--220",
year = "1983",
CODEN = "LNMAA2",
DOI = "http://dx.doi.org/10.1007/BFb0062104",
ISBN = "0-387-11983-3, 3-540-11983-3 (print), 3-540-39447-8
(e-book)",
ISBN-13 = "978-0-387-11983-0, 978-3-540-11983-8 (print),
978-3-540-39447-1 (e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:41 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0062104/",
acknowledgement = ack-nhfb,
book-DOI = "http://dx.doi.org/10.1007/BFb0062089",
book-URL = "http://www.springerlink.com/content/978-3-540-39447-1",
fjournal = "Lecture Notes in Mathematics",
GWS-number = "N12",
journal-URL = "http://link.springer.com/bookseries/304",
remark = "See \cite{Kaagstrom:1983:MPP} for proceedings
volume.",
}
@InCollection{Dongarra:1984:LPS,
author = "J. J. Dongarra and G. W. Stewart",
title = "{LINPACK} --- {A} Package for Solving Linear Systems",
crossref = "Cowell:1984:SDM",
pages = "20--48",
year = "1984",
bibdate = "Fri Aug 23 12:59:02 MDT 1996",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fortran2.bib",
abstract = "LINPACK is a collection of Fortran subroutines that
analyze and solve linear equations and linear least
squares problems. The package solves linear systems
whose matrices are general, banded, symmetric
indefinite, symmetric positive definite, triangular,
and tridiagonal. In addition, the package computes the
$ Q R $ and singular value decompositions of
rectangular matrices and applies them to least squares
problems.",
acknowledgement = ack-nhfb,
affiliation = "Argonne Natl Lab, Mathematics \& Computer Science Div,
Argonne, IL, USA",
affiliationaddress = "Argonne Natl Lab, Mathematics \& Computer
Science Div, Argonne, IL, USA",
classification = "723; 731; 921",
GWS-number = "N13",
journalabr = "Sources and Dev of Math Software",
keywords = "COMPUTER PROGRAMMING; COMPUTER PROGRAMMING ---
Subroutines; COMPUTER PROGRAMMING LANGUAGES ---
FORTRAN; COMPUTER SOFTWARE --- Modular Construction;
FORTRAN SUBROUTINES; LINEAR SYSTEMS; LINPACK;
MATHEMATICAL TECHNIQUES --- Linear Algebra;
Subroutines",
}
@Article{McAllister:1984:RRR,
author = "D. F. McAllister and G. W. Stewart and W. J. Stewart",
title = "On a {Rayleigh--Ritz} Refinement Technique for Nearly
Uncoupled Stochastic Matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "60",
number = "??",
pages = "1--25",
month = aug,
year = "1984",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(84)90067-3",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F15 (15A51)",
MRnumber = "85h:65082",
MRreviewer = "L. Berg",
bibdate = "Wed Nov 30 13:49:30 MST 2011",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379584900673",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J51",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "nla, Markov chain, nearly uncoupled system,
Rayleigh--Ritz method, aggregation",
mynote = "NB: not copied.",
}
@Article{Stewart:1984:ABS,
author = "G. W. Stewart",
title = "On the Asymptotic Behavior of Scaled Singular Value
and {$ Q R $} Decompositions",
journal = j-MATH-COMPUT,
volume = "43",
number = "168",
pages = "483--489",
month = oct,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65F35 (15A23 65D10)",
MRnumber = "86f:65085",
MRreviewer = "Alan L. Andrew",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
GWS-number = "J53",
journal-URL = "http://www.ams.org/mcom/",
kwds = "la, qrd, svd, scaling",
xxpages = "483--490",
}
@Article{Stewart:1984:IPN,
author = "G. W. Stewart",
title = "On the invariance of perturbed null vectors under
column scaling",
journal = j-NUM-MATH,
volume = "44",
number = "1",
pages = "61--65",
month = jun,
year = "1984",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F20 (65F35)",
MRnumber = "86d:65053",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, College
Park, MD, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J52",
journal-URL = "http://link.springer.com/journal/211",
keywords = "column scaling; estimation technique; invariance;
latent root regression; least squares approximations;
perturbation techniques; perturbed degenerate matrix;
perturbed null vectors; total least squares",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1984:RD,
author = "G. W. Stewart",
title = "Rank Degeneracy",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "403--413",
month = jun,
year = "1984",
CODEN = "SIJCD4",
DOI = "http://dx.doi.org/10.1137/0905030",
ISSN = "0196-5204",
ISSN-L = "0196-5204",
MRclass = "65F25 (65F15)",
MRnumber = "85h:65086",
MRreviewer = "G. C. Barozzi",
bibdate = "Mon Mar 31 09:59:22 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Computer Sci. Dept., Univ. of Maryland, College Park,
MD, USA",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
GWS-number = "J49",
journal-URL = "http://epubs.siam.org/loi/sjoce3",
keywords = "errors; matrix algebra; matrix rank; perturbation
theory; rank degeneracy",
onlinedate = "June 1984",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Stewart:1984:SNU,
author = "G. W. Stewart",
title = "On the Structure of Nearly Uncoupled {Markov} Chains",
crossref = "Iazeolla:1984:MCP",
pages = "287--302",
year = "1984",
bibdate = "Thu May 29 16:31:34 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N14",
}
@Article{Stewart:1984:SOP,
author = "G. W. Stewart",
title = "A Second Order Perturbation Expansion for Small
Singular Values",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "56",
number = "??",
pages = "231--235",
month = jan,
year = "1984",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(84)90128-9",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F20 (15A18)",
MRnumber = "85c:65047",
MRreviewer = "Ekkehard Wagenf{\"u}hrer",
bibdate = "Wed Nov 30 13:49:20 MST 2011",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379584901289",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J50",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "la, svd, pert",
xxpages = "231--236",
}
@Article{Trevathan:1984:DAN,
author = "Charles E. Trevathan and Thomas D. Taylor and Raymond
G. Hartenstein and Ann. C. Merwarth and William N.
Stewart",
title = "Development and Application of {NASA}'s First Standard
Spacecraft Computer",
journal = j-CACM,
volume = "27",
number = "9",
pages = "902--913",
year = "1984",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 07:26:34 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm27.html#TrevathanTHMS84;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
oldlabel = "TrevathanTHMS84",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/TrevathanTHMS84",
}
@Article{Gill:1985:PRB,
author = "P. E. Gill and W. Murray and M. A. Saunders and G. W.
Stewart and M. H. Wright",
title = "Properties of a Representation of a Basis for the Null
Space",
journal = j-MATH-PROG,
volume = "33",
pages = "172--186",
year = "1985",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Programming",
GWS-number = "J57",
journal-URL = "http://link.springer.com/journal/10107",
}
@Article{OLeary:1985:DFA,
author = "Dianne P. O'Leary and G. W. Stewart",
title = "Data-flow algorithms for parallel matrix computation",
journal = j-CACM,
volume = "28",
number = "8",
pages = "840--853",
month = aug,
year = "1985",
CODEN = "CACMA2",
DOI = "http://dx.doi.org/10.1145/4021.4025",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65W05 (65Fxx)",
MRnumber = "86j:65197",
bibdate = "Thu May 30 09:41:10 MDT 1996",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
http://www.acm.org/pubs/toc/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1980.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0001-0782/4025.html",
abstract = "In this article we develop some algorithms and tools
for solving matrix problems on parallel processing
computers. Operations are synchronized through
data-flow alone, which makes global synchronization
unnecessary and enables the algorithms to be
implemented on machines with very simple operating
systems and communication protocols. As examples, we
present algorithms that form the main modules for
solving Liapounov matrix equations. We compare this
approach to wave front array processors and systolic
arrays, and note its advantages in handling mis-sized
problems, in evaluating variations of algorithms or
architectures, in moving algorithms from system to
system, and in debugging parallel algorithms on
sequential machines.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
GWS-number = "J56",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "algorithms, nla, prll, eig, Sylvester equation,
Cholesky decomposition, matrix equation",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Parallel algorithms. {\bf G.1.3}:
Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
Linear Algebra, Linear systems (direct and iterative
methods). {\bf C.1.2}: Computer Systems Organization,
PROCESSOR ARCHITECTURES, Multiple Data Stream
Architectures (Multiprocessors), Parallel processors.",
xxpages = "841--853",
}
@Article{Stewart:1985:JLA,
author = "G. W. Stewart",
title = "A {Jacobi}-Like Algorithm for Computing the {Schur}
Decomposition of a Non-{Hermitian} Matrix",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "853--864",
month = oct,
year = "1985",
CODEN = "SIJCD4",
DOI = "http://dx.doi.org/10.1137/0906058",
ISSN = "0196-5204",
ISSN-L = "0196-5204",
MRclass = "65F15 (65W05)",
MRnumber = "86j:65047",
MRreviewer = "Cs. J. Heged{\H{u}}s",
bibdate = "Mon Mar 31 09:59:35 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
GWS-number = "J55",
journal-URL = "http://epubs.siam.org/loi/sjoce3",
keywords = "Hermitian matrix; iterative method; iterative methods;
Jacobi-like algorithm; matrix algebra; nonHermitian
matrix; off-diagonal elements; parallel implementation;
parallel processing; plane rotations; Schur
decomposition; unitary similarity transformations;
upper triangular form",
mynote = "Also Maryland Tech. Rep. TR-1321",
onlinedate = "October 1985",
treatment = "T Theoretical or Mathematical",
xxpages = "853--862",
}
@Article{Stewart:1985:NCD,
author = "G. W. Stewart",
title = "A Note on Complex Division",
journal = j-TOMS,
volume = "11",
number = "3",
pages = "238--241",
month = sep,
year = "1985",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/214408.214414",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Fri Aug 26 23:38:15 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See corrigendum \cite{Stewart:1986:CNC} and the faster
and more robust algorithm in \cite{Priest:2004:ESC}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p238-stewart/",
abstract = "An algorithm for computing the quotient of two complex
numbers is modified to make it more robust in the
presence of underflows.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
GWS-number = "J54",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "algorithms; complex arithmetic; computer arithmetic;
na",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Numerical algorithms. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Reliability and robustness.",
}
@Article{George:1986:P,
author = "Alan George and G. W. Stewart and Robert Voigt",
title = "Preface",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "77",
number = "??",
pages = "1--2",
month = may,
year = "1986",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(86)90158-8",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Nov 30 13:50:06 MST 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379586901588",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{OLeary:1986:ASP,
author = "Dianne P. O'Leary and G. W. Stewart",
title = "Assignment and Scheduling in Parallel Matrix
Factorization",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "77",
number = "??",
pages = "275--299",
month = may,
year = "1986",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(86)90172-2",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65W05 (65F30)",
MRnumber = "837 869",
bibdate = "Wed Nov 30 13:50:06 MST 2011",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
note = "Special volume on parallel computing.",
URL = "http://www.sciencedirect.com/science/article/pii/0024379586901722",
abstract = "We consider the problem of factoring a dense $ n
\times n $ matrix on a network consisting of $P$ MIMD
processors, with no shared memory, when the network is
smaller than the number of elements in the matrix ($ P
< n^2$). The specific example analyzed is a
computational network that arises in computing the $ L
U$, $ Q R$, or Cholesky factorizations. We prove that
if the nodes of the network are evenly distributed
among processors and if computations are scheduled by a
round-robin or a least-recently-executed scheduling
algorithm, then optimal order of speedup is achieved.
However, such speedup is not necessarily achieved for
other scheduling algorithms or if the computation for
the nodes is inappropriately split across processors,
and we give examples of these phenomena. Lower bounds
on execution time for the algorithm are established for
two important node-assignment strategies.",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J58",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "nla, prll, lud, Cholesky decomposition, communication,
message passing",
xxpages = "275--300",
}
@TechReport{OLeary:1986:DMP,
author = "Dianne P. O'Leary and G. W. Stewart and Robert van de
Geijn",
title = "{DOMINO}: a Message Passing Environment for Parallel
Computations",
number = "TR-1648",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
month = apr,
year = "1986",
bibdate = "Thu May 29 16:58:30 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N16",
keywords = "Netlib; Oak Ridge National Laboratory (ORNL)",
}
@TechReport{OLeary:1986:MCM,
author = "Dianne P. O'Leary and Roger Pierson and G. W. Stewart
and Mark Weiser",
title = "The {Maryland Crab}: A module for building parallel
computers",
type = "Technical Report",
number = "CS-1660",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
year = "1986",
bibdate = "Thu May 29 16:59:46 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
note = "Also issued as University of Maryland Institute for
Advanced Computer Studies Report UMIACS-86-9.",
acknowledgement = ack-nhfb,
GWS-number = "N17",
}
@Article{Stewart:1986:CNC,
author = "G. W. Stewart",
title = "Corrigendum: ``{A} Note on Complex Division''",
journal = j-TOMS,
volume = "12",
number = "3",
pages = "285--285",
month = sep,
year = "1986",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/7921.356182",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Fri Sep 30 01:17:25 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See \cite{Stewart:1985:NCD}.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
GWS-number = "J54",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@InProceedings{Stewart:1986:CPA,
author = "G. W. Stewart",
title = "Communication in Parallel Algorithms: An Example",
crossref = "Boardman:1986:CSS",
pages = "11--14",
year = "1986",
bibdate = "Thu May 29 17:05:41 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N18",
}
@InProceedings{Stewart:1986:CSR,
author = "G. W. Stewart",
title = "Collinearity, Scaling, and Rounding Error",
crossref = "Allen:1986:CSS",
pages = "195--198",
year = "1986",
bibdate = "Thu May 29 16:56:44 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N15",
}
@Article{Golub:1987:GEY,
author = "G. H. Golub and Alan Hoffman and G. W. Stewart",
title = "A Generalization of the {Eckart--Young--Mirsky} Matrix
Approximation Theorem",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "88/89",
number = "??",
pages = "317--327",
year = "1987",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(87)90114-5",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "41A45 (15A60 62J05 65F99)",
MRnumber = "88f:41039",
MRreviewer = "R. A. Lorentz",
bibdate = "Thu Jan 23 11:18:08 MST 1997",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J59",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "la, matrix approximation",
mynote = "Stanford NA-86-35, March 1986 (by GHG and GSW).",
xxpages = "317--328",
}
@InProceedings{Higham:1987:NLA,
author = "Nicholas J. Higham and G. W. Stewart",
title = "Numerical Linear Algebra in Statistical Computing",
crossref = "Iserles:1987:SAN",
pages = "41--57",
year = "1987",
bibdate = "Thu May 29 17:14:49 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb # "\slash " # ack-njh,
GWS-number = "N19",
xxpages = "41--58",
}
@Article{OLeary:1987:DSA,
author = "D. P. O'Leary and G. W. Stewart",
title = "From Determinacy to Systaltic Arrays",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-36",
number = "11",
pages = "1355--1359",
month = nov,
year = "1987",
CODEN = "ITCOB4",
DOI = "http://dx.doi.org/10.1109/TC.1987.5009475",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.computer.org/tc/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009475",
abstract = "In this paper we extend a model of Karp and Miller for
parallel computation. We show that the extended model
is deterministic, in the sense that under different
scheduling regimes each process in the computation
consumes the same input and generates the same output.
Moreover, if the computation halts, the final state is
independent of scheduling. The model is applied to the
generation of precedence graphs, from which lower time
bounds may be deduced, and to the synchronization of
systolic arrays by local rather than global control.",
acknowledgement = ack-nhfb,
author-affiliation = "Department of Computer Science, University of
Maryland, College Park, MD 20742.",
book-DOI = "http://dx.doi.org/10.1109/TC.1987.5009475",
fjournal = "IEEE Transactions on Computers",
GWS-number = "J61",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Stewart:1987:CLSa,
author = "G. W. Stewart",
title = "Collinearity and Least Squares Regression",
journal = j-STAT-SCI,
volume = "2",
number = "1",
pages = "68--84",
month = feb,
year = "1987",
CODEN = "STSCEP",
ISSN = "0883-4237",
ISSN-L = "0883-4237",
bibdate = "Fri May 30 12:48:25 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/statsci.bib",
URL = "http://projecteuclid.org/euclid.ss/1177013439",
acknowledgement = ack-nhfb,
fjournal = "Statistical Science",
GWS-number = "J60",
journal-URL = "http://projecteuclid.org/all/euclid.ss",
mynote = "4 comments by other authors and a rejoinder by GSW,
pp. 84-100.",
}
@Article{Stewart:1987:CLSb,
author = "G. W. Stewart",
title = "[{Collinearity} and Least Squares Regression]:
Rejoinder",
journal = j-STAT-SCI,
volume = "2",
number = "1",
pages = "98--100",
month = feb,
year = "1987",
CODEN = "STSCEP",
ISSN = "0883-4237",
ISSN-L = "0883-4237",
bibdate = "Fri May 30 12:48:25 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/statsci.bib",
URL = "http://projecteuclid.org/euclid.ss/1177013444",
acknowledgement = ack-nhfb,
fjournal = "Statistical Science",
journal-URL = "http://projecteuclid.org/all/euclid.ss",
}
@TechReport{Stewart:1987:ISC,
author = "G. W. Stewart",
title = "Invariant subspaces and capital punishment (a
participatory paper)",
type = "Technical Report",
number = "CS-TR 1923",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
year = "1987",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
mynote = "September",
}
@Article{Stewart:1987:PIA,
author = "G. W. Stewart",
title = "A parallel implementation of the {$ Q R $}-algorithm",
journal = j-PARALLEL-COMPUTING,
volume = "5",
number = "1--2",
pages = "187--196",
month = jul,
year = "1987",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
MRclass = "65W05 (65F15)",
MRnumber = "88d:65191",
bibdate = "Mon Apr 14 12:07:40 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
note = "Proceedings of the international conference on vector
and parallel computing---issues in applied research and
development (Loen, 1986)",
acknowledgement = ack-nhfb,
classification = "C4240 (Programming and algorithm theory)",
conflocation = "Loen, Norway; 2-6 June 1986",
conftitle = "International Conference on Vector and Parallel
Computing --- Issues in Applied Research and
Development",
corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ.,
College Park, MD, USA",
fjournal = "Parallel Computing",
GWS-number = "J62",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191/",
keywords = "eigenvalues; Maryland CRAB; nonHermitian matrix;
parallel algorithms; parallel implementation;
QR-algorithm",
sponsororg = "IBM Norway; R. Norwegian Council Sci. and Ind. Res.;
AMDAHL; FPS; CRAY",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1987:RBC,
author = "G. W. Stewart",
title = "Review of {{\booktitle{Matrix Computations}}, by Gene
H. Golub and Charles F. Van Loan}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "95",
number = "??",
pages = "211--215",
month = oct,
year = "1987",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(87)90036-X",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Nov 30 13:50:37 MST 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/002437958790036X",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Arnheim:1988:SFR,
author = "Rudolf Arnheim and Thomas E. Lovejoy and David Gordon
Wilson and Freeman Dyson and Jane Goodall and Ian
Shelton and Kenneth H. Olsen and Irene C. Peden and
Richard W. Hamming and Thomas Eisner and Preston Cloud
and Matt Cartmill and Samuel C. Florman and Jeremy
Bernstein and George A. Miller and Robert M. May and G.
Evelyn Hutchinson and Jerome Bruner and Priscilla C.
Grew and William Bevan and Elisabeth S. Vrba and
Myrdene Anderson and Kevin Padian and Harry Shipman and
Victor F. Weisskopf and Walter A. Hill and Patricia D.
Moehlman and Melvin Kranzberg and Malak Kotb and
Raymond Kurzweil and Marcia McNutt and Masakazu Konishi
and Miriam Rothschild and Edward Teller and Alison
Jolly and H. Jane Brockmann and Keith Stewart Thomson
and Peter J. Denning and Beno{\^\i}t B. Mandelbrot and
Abraham Pais and Paul MacCready and Kip S. Thorne and
Ruth Sager and Gerald J. Wasserburg and Neal E. Miller
and Rita Levi-Montalcini and Stephen Jay Gould and
Edwin H. Land and Michel Boudart and Anne Kernan and
Douglas R. Hofstadter and Rosalyn S. Yalow and Bruce H.
Tiffney and Mimi Koehl and Walter E. Massey and David
P. Billington and John A. W. Kirsch and Abner Shimony
and J. Donald Fernie and Brian J. Skinner and Lynn
Margulis and Sheldon Lee Glashow and Michael LaBarbera
and J. Tuzo Wilson and E. R. Ward Neale and Rudolf
Peierls and Roald Hoffmann and Mary L. Good and Donald
R. Griffin and Vaclav Smil and Michael S. Turner and
Sarah Ann Woodin and Luis Alvarez and George A.
Bartholomew and George B. Schaller",
title = "Seventy-five reasons to become a scientist: {American
Scientist} celebrates its seventy-fifth anniversary",
journal = j-AM-SCI,
volume = "76",
number = "5",
pages = "450--463",
month = sep,
year = "1988",
CODEN = "AMSCAC",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/27855384;
http://www.jstor.org/stable/pdfplus/27855384.pdf",
acknowledgement = ack-nhfb,
author-dates = "Edward Teller (1908--2003)",
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
}
@Article{Buell:1988:LEP,
author = "D. A. Buell and D. A. Carlson and Yuan-chieh Chow and
K. Culik and N. Deo and R. Finkel and E. N. Houstis and
E. M. Jacobson and Z. M. Kedem and J. S. Kowalik and P.
J. Kuekes and J. L. Martin and G. A. Michael and N. S.
Ostlund and J. Potter and D. K. Pradhan and M. J. Quinn
and G. W. Stewart and Q. F. Stout and L. Watson and J.
Webb",
title = "Letter to the {Editor}: Parallel algorithms and
architectures: report of a workshop",
journal = j-J-SUPERCOMPUTING,
volume = "1",
number = "3",
pages = "301--325",
month = apr,
year = "1988",
CODEN = "JOSUED",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF00154341",
ISSN = "0920-8542 (print), 1573-0484 (electronic)",
ISSN-L = "0920-8542",
bibdate = "Wed Jul 6 11:12:58 MDT 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/Parallel/JOURNAL.SUPER.bib;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0920-8542&volume=1&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/jsuper.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0920-8542&volume=1&issue=3&spage=301",
acknowledgement = ack-nhfb,
classification = "C4100 (Numerical analysis); C4240 (Programming and
algorithm theory); C5220 (Computer architecture)",
fjournal = "The Journal of Supercomputing",
GWS-number = "N20",
journal-URL = "http://link.springer.com/journal/11227",
keywords = "algorithm design; architectural design; computing
power; experimental environment; high-level
descriptions; language; massive speedup; notations;
parallel algorithms; parallel architectures;
parallelism; program compilers; prototypes; scientific
data; supercomputer architectures; translation",
treatment = "P Practical",
}
@Article{Golub:1988:GEY,
author = "G. H. Golub and A. Hoffman and G. W. Stewart",
title = "A Generalization of the {Eckart}-{Young}-{Mirsky}
Approximation Theorem",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "88/89",
pages = "317--328",
year = "1988",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/gvl.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Meyer:1988:DPE,
author = "Carl D. Meyer and G. W. Stewart",
title = "Derivatives and Perturbations of Eigenvectors",
journal = j-SIAM-J-NUMER-ANAL,
volume = "25",
number = "3",
pages = "679--691",
month = jun,
year = "1988",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F15 (15A22 60J10)",
MRnumber = "89g:65043",
MRreviewer = "Ludwig Elsner",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
GWS-number = "J64",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Stewart:1988:CCR,
author = "G. W. Stewart",
title = "A Curiosity Concerning the Representation of Integers
in Noninteger Bases",
journal = j-MATH-COMPUT,
volume = "51",
number = "184",
pages = "755--756",
month = oct,
year = "1988",
CODEN = "MCMPAF",
DOI = "http://dx.doi.org/10.2307/2008775",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11A63",
MRnumber = "89c:11017",
MRreviewer = "Graham Lord",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database; Theory/Matrix.bib",
URL = "http://zbmath.org/?q=an:0699.10020",
ZMnumber = "0699.10020",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital
arithmetic methods)",
corpsource = "Maryland Univ., College Park, MD, USA",
fjournal = "Mathematics of Computation",
GWS-number = "J63",
journal-URL = "http://www.ams.org/mcom/",
keywords = "digital arithmetic; digits; integers representation;
noninteger bases; number theory",
kwds = "math, number theory",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Stewart:1988:PLA,
author = "G. W. Stewart",
title = "Parallel Linear Algebra in Statistical Computing",
crossref = "Edwards:1988:CPC",
pages = "3--14",
year = "1988",
bibdate = "Thu May 29 17:39:56 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N21",
}
@Article{Tomayko:1988:AOT,
author = "James E. Tomayko and Henry S. Tropp and W. Buchholz
and Grace Murray Hopper and C. Strachey and Eric A.
Weiss and Robert M. Stewart and Bernard A. Galler",
title = "Anecdotes: Origin of the Term Bit; Origin of the Word
Byte; The First Bug; Whence the ``Bug''; An Impossible
Program; Reminiscences of {Los Alamos}; {Los Alamos}
from Below; {Jonathan Swift}'s Computing Invention;
Debugging",
journal = j-ANN-HIST-COMPUT,
volume = "10",
number = "4",
pages = "336--348",
month = oct # "\slash " # dec,
year = "1988",
CODEN = "AHCOE5",
ISSN = "0164-1239",
bibdate = "Fri Nov 1 15:29:13 MST 2002",
bibsource = "http://www.computer.org/annals/an1988/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
URL = "http://dlib.computer.org/an/books/an1988/pdf/a4336.pdf;
http://www.computer.org/annals/an1988/a4336abs.htm",
acknowledgement = ack-nhfb,
fjournal = "Annals of the History of Computing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
}
@InProceedings{OLeary:1989:DTO,
author = "Diane P. O'Leary and G. W. Stewart and Robert van de
Geijn",
title = "{DOMINO}: A Transportable Operating System for
Parallel Computation",
crossref = "Wouk:1989:PPM",
pages = "25--34",
year = "1989",
bibdate = "Thu May 29 18:08:12 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N22",
}
@InCollection{Saltzman:1989:IIP,
author = "M. J. Saltzman and R. Subramaniam and R. E. Marsten",
title = "Implementing an interior point {LP} algorithm on a
supercomputer",
crossref = "Sharda:1989:IRC",
pages = "158--168",
year = "1989",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
}
@Article{Stenbakken:1989:AGT,
author = "G. N. Stenbakken and T. M. Souders and G. W. Stewart",
title = "Ambiguity groups and testability",
journal = j-IEEE-TRANS-INSTRUM-MEAS,
volume = "38",
number = "5",
pages = "941--947",
month = "????",
year = "1989",
CODEN = "IEIMAO",
DOI = "http://dx.doi.org/10.1109/19.39034",
ISSN = "0018-9456 (print), 1557-9662 (electronic)",
ISSN-L = "0018-9456",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=39034",
acknowledgement = ack-nhfb,
author-affiliation = "Nat. Inst. of Stand. \& Technol., Gaithersburg,
MD, USA",
book-DOI = "http://dx.doi.org/10.1109/19.39034",
fjournal = "IEEE Transactions on Instrumentation and Measurement",
GWS-number = "J66",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=19",
}
@Article{Stewart:1989:SPP,
author = "G. W. Stewart",
title = "On Scaled Projections and Pseudo-Inverses",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "112",
number = "??",
pages = "189--193",
month = jan,
year = "1989",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(89)90594-6",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A09",
MRnumber = "90d:15005",
MRreviewer = "J. Segethov{\'a}",
bibdate = "Wed Nov 30 13:51:07 MST 2011",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
note = "See answer \cite{OLeary:1990:BSP} to a question raised
in this paper.",
URL = "http://www.sciencedirect.com/science/article/pii/0024379589905946",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J65",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "la, projection, ginv",
xxpages = "189--194",
}
@Article{OLeary:1990:CEE,
author = "D. P. O'Leary and G. W. Stewart",
title = "Computing the Eigenvalues and Eigenvectors of
Symmetric Arrowhead Matrices",
journal = j-J-COMPUT-PHYS,
volume = "90",
number = "2",
pages = "497--505",
month = oct,
year = "1990",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(90)90177-3",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:55:44 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999190901773",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
GWS-number = "J67",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Stewart:1990:CMC,
author = "G. W. Stewart",
title = "Communication and matrix computations on large message
passing systems",
journal = j-PARALLEL-COMPUTING,
volume = "16",
number = "1",
pages = "27--40",
month = nov,
year = "1990",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Mon Apr 14 11:08:33 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C5230 (Digital arithmetic
methods); C7310 (Mathematics)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
fjournal = "Parallel Computing",
GWS-number = "J68",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191/",
keywords = "communication; digital arithmetic; fine; floating
point operations; grain communication; large message
passing; mathematics computing; matrix algebra; matrix
algorithms; matrix computations; systems",
treatment = "P Practical",
}
@TechReport{Stewart:1990:ICC,
author = "G. W. Stewart",
title = "Incremental condition calculation and column
selection",
type = "Technical Report",
number = "CS-TR 2495",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
year = "1990",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
mynote = "July",
}
@InProceedings{Stewart:1990:IMS,
author = "G. W. (Pete) Stewart",
title = "An iterative method for solving linear inequalities",
crossref = "Cox:1990:RNC",
pages = "241--247",
year = "1990",
MRnumber = "65K05 65F10 15A39 90C05",
bibdate = "Tue Nov 2 19:30:33 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib",
URL = "http://zbmath.org/?q=an:0234.68003",
ZMnumber = "0721.65033",
acknowledgement = ack-nhfb,
GWS-number = "N23",
mynote = "Maryland TR-1833, April 1987",
}
@Book{Stewart:1990:MPT,
author = "G. W. (Gilbert W.) Stewart and Ji-guang Sun",
title = "Matrix perturbation theory",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xv + 365",
year = "1990",
ISBN = "0-12-670230-6 (hardcover)",
ISBN-13 = "978-0-12-670230-9 (hardcover)",
LCCN = "QA871 .S775 1990",
bibdate = "Thu May 29 07:15:52 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
z3950.loc.gov:7090/Voyager",
series = "Computer science and scientific computing",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/21227976.html;
http://www.loc.gov/catdir/description/els032/90033378.html;
http://www.loc.gov/catdir/toc/els031/90033378.html",
acknowledgement = ack-nhfb,
GWS-number = "B3",
subject = "Perturbation (Mathematics); Matrices",
tableofcontents = "I. Preliminaries \\
1. Notation \\
2. the $QR$ decomposition \\
projections \\
3. Eigenvalues and eigenvectors \\
4. The singular value decomposition \\
II. Norms and metrics \\
1. Vector norms \\
2. Matrix norms \\
3. Unitarily invariant norms \\
4. Metrics on subspaces of C'n' \\
III. Linear systems and least squares problems \\
1. The pseudo-inverse and least squares \\
2. Inverses and linear systems \\
3. The pseudo-inverse \\
4. Projections \\
5. The Linear least squares problem \\
IV. The perturbation of Eigenvalues \\
1. General perturbation theorems \\
2. Gerschgorin theory: differentiability \\
3. Normal and diagonalizable matrices \\
4. Hermitian matrices \\
5. Some further results \\
V. Invariant subspaces \\
1. The theory of simple invariant subspaces \\
2. Perturbation of invariant subspaces \\
3. Hermitian matrices \\
4. The singular value decomposition \\
VI. Generalized Eigenvalue problems \\
1. Background \\
2. Regular matrix pairs \\
3. Definite matrix pairs \\
References \\
Notation \\
Index",
}
@InProceedings{Stewart:1990:PTL,
author = "G. W. Stewart",
title = "Perturbation theory and least squares with errors in
the variables",
crossref = "Brown:1990:SAM",
pages = "171--181",
year = "1990",
DOI = "http://dx.doi.org/10.1090/conm/112/1087108",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
book-URL = "http://www.ams.org/conm/112/",
GWS-number = "N24",
}
@TechReport{Stewart:1990:PTS,
author = "G. W. Stewart",
title = "Perturbation theory for the singular value
decomposition",
type = "Technical Report",
number = "CS-TR 2539",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
year = "1990",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
mynote = "Sept",
}
@InProceedings{Stewart:1990:SNU,
author = "G. W. Stewart",
title = "On the Sensitivity of Nearly Uncoupled {Markov}
Chains",
crossref = "Stewart:1990:NSM",
pages = "105--119",
year = "1990",
bibdate = "Thu May 29 18:15:40 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N25",
}
@Article{Stewart:1990:SPT,
author = "G. W. Stewart",
title = "Stochastic Perturbation Theory",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "579--610",
month = dec,
year = "1990",
CODEN = "SIREAD",
DOI = "http://dx.doi.org/10.1137/1032121",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "15A06 (15A09 15A12 15A18 15A52 15A60)",
MRnumber = "91m:15007",
MRreviewer = "James Weldon Demmel",
bibdate = "Sat Mar 29 09:54:48 MDT 2014",
bibsource = "Compendex database;
http://epubs.siam.org/toc/siread/32/4;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
abstract = "In this paper classical matrix perturbation theory is
approached from a probabilistic point of view. The
perturbed quantity is approximated by a first-order
perturbation expansion, in which the perturbation is
assumed to be random. This permits the computation of
statistics estimating the variation in the perturbed
quantity. Up to the higher-order terms that are ignored
in the expansion, these statistics tend to be more
realistic than perturbation bounds obtained in terms of
norms. The technique is applied to a number of problems
in matrix perturbation theory, including least squares
and the eigenvalue problem.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Maryland",
affiliationaddress = "College Park, MD, USA",
classification = "921; 922",
fjournal = "SIAM Review",
GWS-number = "J69",
journal-URL = "http://epubs.siam.org/sirev",
journalabr = "SIAM Rev",
keywords = "Mathematical Techniques; Perturbation Techniques;
Probability --- Random Processes; Stochastic
Perturbation Theory",
mynote = "Maryland CS-TR-2129, October 88",
onlinedate = "December 1990",
}
@TechReport{Stewart:1990:UAS,
author = "G. W. Stewart",
title = "An updating algorithm for subspace tracking",
type = "Technical Report",
number = "CS-TR 2494",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
year = "1990",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "revised January 1991",
acknowledgement = ack-nhfb,
}
@TechReport{Adams:1991:DAEa,
author = "G. Adams and M. F. Griffin and G. W. Stewart",
title = "Direction-of-arrival estimation using the
rank-revealing {$ U R V $} decomposition",
type = "Technical Report",
number = "CS-TR 2640",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
year = "1991",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
mynote = "March",
}
@InProceedings{Adams:1991:DAEb,
author = "G. Adams and M. F. Griffin and G. W. Stewart",
title = "Direction-of-arrival estimation using the
rank-revealing {$ U R V $} decomposition",
crossref = "IEEE:1991:ICA",
pages = "1385--1388 (vol. 2)",
year = "1991",
DOI = "http://dx.doi.org/10.1109/ICASSP.1991.150681",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=150681",
acknowledgement = ack-nhfb,
author-affiliation = "United Technol. Res. Center, East Hartford, CT,
USA",
book-DOI = "http://dx.doi.org/10.1109/ICASSP.1991.150681",
GWS-number = "N27",
}
@InProceedings{Griffin:1991:UMR,
author = "M. F. Griffin and G. W. Stewart",
title = "Updating {MUSIC} and root-{MUSIC} with the
rank-revealing {$ U R V $} decomposition",
crossref = "Chen:1991:CRT",
pages = "277--281 (vol. 1)",
year = "1991",
DOI = "http://dx.doi.org/10.1109/ACSSC.1991.186456",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=186456",
acknowledgement = ack-nhfb,
author-affiliation = "Advanced Digital Systems, East Hartford, CT,
USA",
book-DOI = "http://dx.doi.org/10.1109/ACSSC.1991.186456",
}
@TechReport{Stewart:1991:ARR,
author = "G. W. Stewart",
title = "On an algorithm for refining a rank-revealing {$ U R V
$} factorization and a perturbation theorem for
singular values",
type = "Technical Report",
number = "CS-TR 2626",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
year = "1991",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
mynote = "March",
}
@Article{Stewart:1991:DMS,
author = "G. W. Stewart and G. Zhang",
title = "On a Direct Method for the Solution of Nearly
Uncoupled {Markov} Chains",
journal = j-NUM-MATH,
volume = "59",
number = "1",
pages = "1--11",
month = apr,
year = "1991",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65F05 (60J10 65G05)",
MRnumber = "92i:65062",
MRreviewer = "Ching-Tsuan Pan",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other and miscellaneous); C1140Z (Other and
miscellaneous)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J72",
journal-URL = "http://link.springer.com/journal/211",
keywords = "diagonal pivoting; direct method; LDU; LU
decomposition; Markov chain; Markov processes; nearly
uncoupled Markov chains; nearly uncoupled system; nla;
plain Gaussian elimination; rounding errors",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1991:EGM,
author = "G. W. Stewart and G. Zhang",
title = "Eigenvalues of Graded Matrices and the Condition
Numbers of a Multiple Eigenvalue",
journal = j-NUM-MATH,
volume = "58",
number = "7",
pages = "703--712",
month = feb,
year = "1991",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
MRclass = "65F15",
MRnumber = "92a:65121",
MRreviewer = "Assem Deif",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Inst. for Adv. Comput. Studies, Maryland Univ.,
College Park, MD, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J71",
journal-URL = "http://link.springer.com/journal/211",
keywords = "canonical angles; condition numbers; eigenvalues;
eigenvalues and eigenfunctions; graded matrices; graded
structure; la; matrix algebra; multiple eigenvalue;
pert; perturbations",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1991:FFT,
author = "G. W. Stewart",
title = "{FTP} --- File Transfer Program",
journal = j-SIGNUM,
volume = "26",
number = "4",
pages = "2--3",
month = oct,
year = "1991",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Tue Apr 12 07:50:21 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/signum.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGNUM Newsletter",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690",
mynote = "Same as \cite{Stewart:1991:FTR} I think, but different
title!",
}
@Article{Stewart:1991:FTR,
author = "G. W. Stewart",
title = "{FTPing} Technical Reports",
journal = j-NA-DIGEST,
volume = "91",
number = "39",
pages = "??--??",
year = "1991",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Electronic mail magazine:
\path|na.help@na-net.ornl.gov|",
acknowledgement = ack-nhfb,
fjournal = "NA Digest",
mynote = "Sunday, September 29, 1991",
}
@Article{Stewart:1991:JGP,
author = "G. W. Stewart",
title = "{Jeep}: A General Purpose Style File",
journal = "{\TeX} and {TUG} News",
volume = "0",
number = "0",
pages = "3--4",
month = "????",
year = "1991",
bibdate = "Thu May 29 18:19:23 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://tug.ctan.org/tex-archive/digests/ttn/ttn0n0.tex",
acknowledgement = ack-nhfb,
GWS-number = "N28",
}
@TechReport{Stewart:1991:LLS,
author = "G. W. Stewart",
title = "{Lanczos} and linear systems",
type = "Technical Report",
number = "CS-TR 2641",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
year = "1991",
bibdate = "Fri Jun 10 12:38:34 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
mynote = "March",
}
@InProceedings{Stewart:1991:PTS,
author = "G. W. Stewart",
title = "Perturbation Theory for the Singular Value
Decomposition",
crossref = "Vaccaro:1991:SSP",
pages = "99--109",
year = "1991",
bibdate = "Thu May 29 18:17:42 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N26",
}
@Article{Stewart:1991:TSR,
author = "G. W. Stewart",
title = "Two Simple Residual Bounds for the Eigenvalues of a
{Hermitian} Matrix",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "12",
number = "2",
pages = "205--208",
month = apr,
year = "1991",
CODEN = "SJMAEL",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "15A18 (15A42)",
MRnumber = "92j:15007",
bibdate = "Tue Jan 21 08:54:30 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
GWS-number = "J70",
journal-URL = "http://epubs.siam.org/simax",
mynote = "CS-TR-2364, Dec 89",
}
@TechReport{Bai:1992:SFS,
author = "Zhaojun Bai and G. W. Stewart",
title = "{SRRIT} --- A {FORTRAN} subroutine to Calculate the
Dominant Invariant Subspace of a Nonsymmetric Matrix",
type = "Technical Report",
number = "CS-TR-2908",
institution = inst-U-MARYLAND,
address = inst-U-MARYLAND:adr,
pages = "25",
month = may,
year = "1992",
bibdate = "Sat Jan 27 13:40:57 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fortran3.bib;
http://www.math.utah.edu/pub/tex/bib/other/g-w-stewart.bib;
Theory/Matrix.bib",
note = "Also issued as University of Maryland Institute for
Advanced Computer Studies UMIACS report TR-92-61",
abstract = "SRRIT is a FORTRAN program to calculate an approximate
orthonormal basis for a dominant invariant subspace of
a real matrix A by the method of simultaneous iteration
[12]. Specifically, given an integer m, SRRIT attempts
to compute a matrix Q with m orthonormal columns and
real quasi-triangular matrix T of order m such that the
equation AQ=QT is satisfied up to a tolerance specified
by the user. The eigenvalues of T are approximations to
the m largest eigenvalues of A, and the columns of Q
span the invariant subspace corresponding to those
eigenvalues. SRRIT references A only through a user
provided subroutine to form the product AQ; hence it is
suitable for large sparse problems.",
acknowledgement = ack-nhfb,
keywords = "Matrices.; {Fortran} (Computer program language)",
kwds = "nla, eig, subspace iteration, nonsymmetric matrix",
}
@InProceedings{Griffin:1992:MNU,
author = "M. F. Griffin and E. C. Boman and G. W. Stewart",
editor = "{IEEE}",
title = "Minimum-norm updating with the rank-revealing {$ U R V
$} decomposition",
crossref = "IEEE:1992:III",
pages = "293--296 (vol. 5)",
year = "1992",
DOI = "http://dx.doi.org/10.1109/ICASSP.1992.226625",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=226625",
acknowledgement = ack-nhfb,
author-affiliation = "United Technologies Res. Center, East Hartford,
CT, USA",
book-DOI = "http://dx.doi.org/10.1109/ICASSP.1992.226625",
GWS-number = "N29",
}
@Article{Stewart:1992:EAQ,
author = "G. W. Stewart",
title = "Error Analysis of {$ Q R $} Updating with Exponential
Windowing",
journal = j-MATH-COMPUT,
volume = "59",
number = "199",
pages = "135--140",
month = jul,
year = "1992",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65F25 (65G05)",
MRnumber = "92k:65074",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290H
(Linear algebra); C4110 (Error analysis in numerical
methods); C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
fjournal = "Mathematics of Computation",
GWS-number = "J74",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algebra; algorithm; convergence of numerical methods;
data; error analysis; exponential windowing; forgetting
factor; matrix; new data; old; OR updating; QR
factorization; rounding errors; unconditionally stable;
updating",
kwds = "nla, updating, qrd, rounding error",
mynote = "Maryland CS-TR 2685, May 1991.",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Stewart:1992:NGS,
author = "G. W. Stewart",
title = "Note on a Generalized {Sylvester} Equation",
type = "IMA Preprint Series",
number = "\#985",
institution = inst-IMA,
address = inst-IMA:adr,
pages = "3",
month = may,
year = "1992",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
}
@Article{Stewart:1992:UAS,
author = "G. W. Stewart",
title = "An updating algorithm for subspace tracking",
journal = j-IEEE-TRANS-SIG-PROC,
volume = "40",
number = "6",
pages = "1535--1541",
month = "????",
year = "1992",
CODEN = "ITPRED",
DOI = "http://dx.doi.org/10.1109/78.139256",
ISSN = "1053-587X (print), 1941-0476 (electronic)",
ISSN-L = "1053-587X",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=139256",
acknowledgement = ack-nhfb,
author-affiliation = "Dept. of Comput. Sci., Maryland Univ., College
Park, MD, USA",
book-DOI = "http://dx.doi.org/10.1109/78.139256",
fjournal = "IEEE Transactions on Signal Processing",
GWS-number = "J73",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
}
@Article{Edelman:1993:SO,
author = "Alan Edelman and G. W. Stewart",
title = "Scaling for Orthogonality",
journal = j-IEEE-TRANS-SIG-PROC,
volume = "41",
number = "4",
pages = "1676--1677",
month = "????",
year = "1993",
CODEN = "ITPRED",
DOI = "http://dx.doi.org/10.1109/78.212741",
ISSN = "1053-587X (print), 1941-0476 (electronic)",
ISSN-L = "1053-587X",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=212741",
acknowledgement = ack-nhfb,
author-affiliation = "Dept. of Math., California Univ., Berkeley, CA,
USA",
book-DOI = "http://dx.doi.org/10.1109/78.212741",
fjournal = "IEEE Transactions on Signal Processing",
GWS-number = "J81",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
}
@InProceedings{Liu:1993:AEB,
author = "K. J. R. Liu and D. P. O'Leary and G. W. Stewart and
Y.-J. J. Wu",
title = "An adaptive {ESPRIT} based on {$ U R V $}
decomposition",
crossref = "IEEE:2002:IIC",
pages = "37--40 (vol. 4)",
year = "1993",
DOI = "http://dx.doi.org/10.1109/ICASSP.1993.319588",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=319588",
abstract = "ESPRIT is an algorithm for determining the fixed
directions of arrival of a set of narrow-band signals
at an array of sensors. Its computational burden makes
it unsuitable for real-time processing of signals with
time-varying directions of arrival. The authors develop
a new implementation of ESPRIT that has potential for
real-time processing. It is based on a rank-revealing
URV decomposition, rather than the eigendecomposition
or singular value decomposition (SVD) used in previous
ESPRIT algorithms. Its performance is demonstrated on
simulated data representing both constant and
time-varying signals. It is shown that the URV-based
ESPRIT algorithm is effective for estimating
time-varying directions-of-arrival at considerable
computational savings over the SVD-based algorithm.",
acknowledgement = ack-nhfb,
author-affiliation = "Maryland Univ., College Park, MD, USA",
book-DOI = "http://dx.doi.org/10.1109/ICASSP.1993.319588",
book-isbn = "0-7803-7402-9",
keywords = ", systems; adaptive, processing; algorithm; array,
complexity; array, of, processing; computational,
savings; computational, signal, systems; parameter,
decomposition; performance; rank-revealing, sensors;
real-time, ESPRIT, estimation; real-time, filters;
time-varying, URV, URV-based",
}
@Article{Mathias:1993:BAS,
author = "R. Mathias and G. W. Stewart",
title = "A Block {$ Q R $} Algorithm and the Singular Value
Decomposition",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "182",
pages = "91--100",
day = "15",
month = mar,
year = "1993",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Jan 22 09:07:50 MST 1997",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J75",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "la, nla. pert, svd, QR algorithm",
}
@Article{Mathias:1993:BQA,
author = "R. Mathias and G. W. Stewart",
title = "A Block {$ Q R $} Algorithm and the Singular Value
Decomposition",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "188",
pages = "91--100",
year = "1993",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Schweitzer:1993:LEP,
author = "Paul J. Schweitzer and G. W. Stewart",
title = "The {Laurent} Expansion of Pencils That Are Singular
at the Origin",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "183",
pages = "237--254",
day = "1",
month = apr,
year = "1993",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Jan 22 09:07:50 MST 1997",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J76",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "nla, gieg, Laurent expansion, Kronecker form, rank
determination",
}
@Article{Stewart:1993:BRB,
author = "G. W. Stewart",
title = "Book Review: {{\booktitle{Topics in Matrix Analysis}}
(Roger A. Horn and Charles R. Johnson)}",
journal = j-SIAM-REVIEW,
volume = "35",
number = "1",
pages = "168--169",
month = mar,
year = "1993",
CODEN = "SIREAD",
DOI = "http://dx.doi.org/10.1137/1035037",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:55:09 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/35/1;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "March 1993",
}
@InProceedings{Stewart:1993:DRP,
author = "G. W. Stewart",
title = "Determining Rank in the Presence of Error",
crossref = "Moonen:1993:LAL",
pages = "275--291",
year = "1993",
bibdate = "Thu May 29 18:44:24 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N32",
}
@Article{Stewart:1993:EHS,
author = "G. W. Stewart",
title = "On the Early History of the Singular Value
Decomposition",
journal = j-SIAM-REVIEW,
volume = "35",
number = "4",
pages = "551--566",
month = dec,
year = "1993",
CODEN = "SIREAD",
DOI = "http://dx.doi.org/10.1137/1035134",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "15-03 (01A55 01A60 15A18)",
MRnumber = "94f:15001",
bibdate = "Sat Mar 29 09:55:16 MDT 2014",
bibsource = "Compendex database;
http://epubs.siam.org/toc/siread/35/4;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
abstract = "This paper surveys the contributions of five
mathematicians --- Eugenio Beltrami (1835-1899),
Camille Jordan (1838-1921), James Joseph Sylvester
(1814-1897), Erhard Schmidt (1876-1959), and Hermann
Weyl (1885-1955) --- who were responsible for
establishing the existence of the singular value
decomposition and developing its theory.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Maryland",
affiliationaddress = "College Park, MD, USA",
classification = "921.1; 921.6",
fjournal = "SIAM Review",
GWS-number = "J79",
journal-URL = "http://epubs.siam.org/sirev",
journalabr = "SIAM Rev",
keywords = "Algorithms; Computational platforms; Determinants;
Geometry; History; Integral equations; Linear algebra;
Matrix algebra; Matrix decomposition; Quadratic form;
Singular value decomposition",
mynote = "Maryland CS-TR 2855, March 92",
onlinedate = "December 1993",
remark = "See page 556 for Lanczos's contributions to the SVD.",
}
@InProceedings{Stewart:1993:GEP,
author = "G. W. Stewart",
title = "{Gaussian} Elimination, Perturbation Theory, and
{Markov} Chains",
crossref = "Meyer:1993:LAM",
pages = "59--69",
year = "1993",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
GWS-number = "N31",
}
@Article{Stewart:1993:PCF,
author = "G. W. Stewart",
title = "On the Perturbation of {$ L U $}, {Cholesky}, and {$ Q
R $} Factorizations",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "14",
number = "4",
pages = "1141--1145",
month = oct,
year = "1993",
CODEN = "SJMAEL",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "15A18 (65F35)",
MRnumber = "94i:15007",
MRreviewer = "Thomas L. Markham",
bibdate = "Tue Jan 21 08:54:30 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
GWS-number = "J78",
journal-URL = "http://epubs.siam.org/simax",
}
@Article{Stewart:1993:PMC,
author = "G. W. Stewart",
title = "On the perturbation of {Markov} chains with nearly
transient states",
journal = j-NUM-MATH,
volume = "65",
number = "1",
pages = "135--141",
month = may,
year = "1993",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "15A51 (60J10 65J10)",
MRnumber = "94d:15021",
bibdate = "Thu Jan 23 07:49:52 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J80",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Stewart:1993:URR,
author = "G. W. Stewart",
title = "Updating a Rank-Revealing {$ U L V $} Decomposition",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "14",
number = "2",
pages = "494--499",
month = apr,
year = "1993",
CODEN = "SJMAEL",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "65F05",
MRnumber = "93m:65039",
bibdate = "Tue Jan 21 08:54:30 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
GWS-number = "J77",
journal-URL = "http://epubs.siam.org/simax",
mynote = "Maryland CS-TR 2627, March 1991",
}
@Article{Liu:1994:UET,
author = "K. J. R. Liu and D. P. O'Leary and G. W. Stewart and
Y.-J. J. Wu",
title = "{$ U R V $} {ESPRIT} for tracking time-varying
signals",
journal = j-IEEE-TRANS-SIG-PROC,
volume = "42",
number = "12",
pages = "3441--3448",
month = "????",
year = "1994",
CODEN = "ITPRED",
DOI = "http://dx.doi.org/10.1109/78.340778",
ISSN = "1053-587X (print), 1941-0476 (electronic)",
ISSN-L = "1053-587X",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=340778",
abstract = "ESPRIT is an algorithm for determining the fixed
directions of arrival of a set of narrow-band signals
at an array of sensors. Unfortunately, its
computational burden makes it unsuitable for real time
processing of signals with time-varying directions of
arrival. The authors develop a new implementation of
ESPRIT that has potential for real time processing. It
is based on a rank-revealing URV decomposition, rather
than the eigendecomposition or singular value
decomposition used in previous ESPRIT algorithms. The
authors demonstrate its performance on simulated data
representing both constant and time-varying signals.
They find that the URV-based ESPRIT algorithm is
effective for estimating time-varying
directions-of-arrival at considerable computational
savings over the SVD-based algorithm",
acknowledgement = ack-nhfb,
author-affiliation = "Dept. of Electr. Eng., Maryland Univ., College
Park, MD, USA",
book-DOI = "http://dx.doi.org/10.1109/78.340778",
fjournal = "IEEE Transactions on Signal Processing",
GWS-number = "J85",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
keywords = "arrival; direction-of-arrival, systems; fixed,
estimation; narrow-band, decomposition; performance;
rank-revealing, signals; real, directions, ESPRIT;
real-time, of, processing; TIME, URV; time-varying,
signals; time-varying, systems; tracking",
}
@Article{Stewart:1994:CMI,
author = "G. W. Stewart",
title = "On the Convergence of Multipoint Iterations",
journal = j-NUM-MATH,
volume = "68",
number = "1",
pages = "143--147",
month = jun,
year = "1994",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65H05",
MRnumber = "95a:65088",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680143.htm;
http://science.springer.de/nmee/bibs/4068001/40680143.htm",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
fjournal = "Numerische Mathematik",
GWS-number = "J83",
journal-URL = "http://link.springer.com/journal/211",
keywords = "convergence of numerical methods; convergence proof;
fixed point; iterative methods; multipoint iterations",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Stewart:1994:D,
author = "G. W. Stewart",
title = "{$ U T V $} Decompositions",
crossref = "Griffiths:1994:NAP",
pages = "225--236",
year = "1994",
bibdate = "Thu May 29 19:00:58 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N34",
}
@TechReport{Stewart:1994:GQD,
author = "G. W. Stewart",
title = "On Graded {$ Q R $} Decompositions of Products of
Matrices",
type = "Technical Report",
number = "TR-3263",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "14",
month = apr,
year = "1994",
bibdate = "Sun Feb 26 11:51:53 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Stewart:1994:GSG,
author = "G. W. Stewart",
title = "Gauss, Statistics, and {Gaussian} Elimination",
type = "Technical Report",
number = "TR-3307",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "14",
month = aug,
year = "1994",
bibdate = "Sun Oct 16 17:23:56 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Stewart:1994:LLS,
author = "G. W. Stewart",
title = "{Lanczos} and linear systems",
crossref = "Brown:1994:PCL",
pages = "135--139",
year = "1994",
bibdate = "Sat Jun 11 17:22:09 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
GWS-number = "N30",
xxpages = "134--139",
}
@TechReport{Stewart:1994:MCS,
author = "G. W. Stewart",
title = "On {Markov} Chains with Sluggish Transients",
type = "Technical Report",
number = "TR-3306",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "8",
month = jun,
year = "1994",
bibdate = "Sun Oct 16 17:33:10 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
}
@Article{Stewart:1994:PTR,
author = "G. W. Stewart",
title = "Perturbation Theory for Rectangular Matrix Pencils",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "208/209",
pages = "297--301",
year = "1994",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A22 (15A18 15A42)",
MRnumber = "95f:15013",
MRreviewer = "Gerd M. Krause",
bibdate = "Wed Jan 22 17:57:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/linala1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J84",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@TechReport{Stewart:1994:SSU,
author = "G. W. Stewart",
title = "On the Stability of Sequential Updates and Downdates",
type = "Technical Report",
number = "TR-3238",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "17",
month = mar,
year = "1994",
bibdate = "Sun Feb 26 11:51:53 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Stewart:1994:TSI,
author = "G. W. Stewart and W. J. Stewart and D. F. McAllister",
title = "A Two-Stage Iteration for Solving Nearly Completely
Decomposable {Markov} Chains",
crossref = "Golub:1994:RAI",
pages = "201--216",
year = "1994",
bibdate = "Thu May 29 18:57:02 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N33",
}
@Article{Stewart:1994:UUD,
author = "G. W. Stewart",
title = "Updating {$ U R V $} decompositions in parallel",
journal = j-PARALLEL-COMPUTING,
volume = "20",
number = "2",
pages = "151--172",
day = "24",
month = feb,
year = "1994",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Fri Aug 6 10:13:56 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1994&volume=20&issue=2;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1994&volume=20&issue=2&aid=828",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra);
C4240P (Parallel programming and algorithm theory)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
fjournal = "Parallel Computing",
GWS-number = "J82",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191/",
keywords = "$URV$ decomposition; linear array of processors;
matrix algebra; parallel algorithms; unitary matrix;
upper triangular matrix",
treatment = "T Theoretical or Mathematical",
}
@TechReport{vonMatt:1994:RES,
author = "Urs von Matt and G. W. Stewart",
title = "Rounding Errors in Solving Block {Hessenberg}
Systems",
type = "Technical Report",
number = "TR-3345",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
pages = "????",
month = sep,
year = "1994",
bibdate = "Sun Oct 16 17:35:06 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
}
@Book{Gauss:1995:TCO,
author = "Carl Friedrich Gauss and G. W. (Gilbert W.) Stewart",
title = "Theory of the combination of observations least
subject to error: part one, part two, supplement =
{Theoria} combinationis observationum erroribus minimus
obnoxiae: pars prior, pars posterior, supplementum",
volume = "11",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xi + 241",
year = "1995",
ISBN = "0-89871-347-1 (paperback)",
ISBN-13 = "978-0-89871-347-3 (paperback)",
LCCN = "QA275 .G37313 1995",
bibdate = "Thu May 29 07:41:49 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
z3950.loc.gov:7090/Voyager",
note = "Translation by G. W. Stewart of Gauss' classic
works.",
series = "Classics in applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0739/95006589-d.html;
http://www.loc.gov/catdir/enhancements/fy0739/95006589-t.html",
abstract = "In the 1820s Gauss published two memoirs on least
squares, which contain his final, definitive treatment
of the area along with a wealth of material on
probability, statistics, numerical analysis, and
geodesy. These memoirs, originally published in Latin
with German Notices, have been inaccessible to the
English-speaking community. Here for the first time
they are collected in an English translation. For
scholars interested in comparisons the book includes
the original text and the English translation on facing
pages. More generally the book will be of interest to
statisticians, numerical analysts, and other scientists
who are interested in what Gauss did and how he set
about doing it. An Afterword by the translator, G. W.
Stewart, places Gauss's contributions in historical
perspective.",
acknowledgement = ack-nhfb,
author-dates = "1777--1855",
GWS-number = "B4",
subject = "Error analysis (Mathematics); Th{\'e}orie des erreurs;
Least squares; Error analysis (Mathematics); Least
squares.",
tableofcontents = "Pars prior / Part one \\
\\
Random and regular errors in observations \\
Regular errors excluded \\
Their treatment \\
General properties of random errors \\
The distribution of the error \\
The constant part or mean value of the error \\
The mean square error as a measure of uncertainty \\
Mean error, weight and precision \\
Effect of removing the constant part \\
Interpercentile ranges and probable error \\
properties of the uniform, triangular, and normal
distribution \\
Inequalities relating the mean error and
interpercentile ranges \\
The fourth moments of the uniform, triangular, and
normal distributions \\
The distribution of a function of several errors \\
The mean value of a function of several errors \\
Some special cases \\
Convergence of the estimate of the mean error \\
The mean error of the estimate itself \\
The mean error of the estimate for the mean value \\
Combining errors with different weights \\
Overdetermined systems of equations \\
The problem of obtaining the unknowns as combinations
of observations \\
The principle of least squares \\
The mean error of a function of quantities with errors
\\
The regression model \\
The best combination for estimating the first unknown
\\
The weight of the estimate \\
Estimates of the remaining unknowns and their weights
\\
Justification of the principle of least squares \\
The case of a single unknown \\
The arithmetic mean \\
\\
Pars posterior / Part two \\
\\
Existence of the least squares estimates \\
Relation between combinations for different unknowns
\\
A formula for the residual sum of squares \\
Another formula for the residual sum of squares \\
Four formulas for the residual sum of squares as a
function of the unknowns \\
Errors in the least squares estimates as functions of
the errors in the observations \\
Mean errors and correlations \\
Linear functions of the unknowns \\
Least squares with a linear constraint \\
Review of Gaussian elimination \\
Abbreviated computation of the weights of the unknowns
\\
Computational details \\
Abbreviated computation of the weight of a linear
function of the unknowns \\
Updating the unknowns and their weights when a new
observation is added to the system \\
Updating the unknowns and their weights when the weight
of an observation changes \\
A bad formula for estimating the errors in the
observations from the residual sum of squares \\
The correct formula \\
The mean error of the residual sum of squares \\
Inequalities for the mean error of the residual sum of
squares \\
The case of the normal distribution \\
\\
Supplementum / Supplement \\
\\
Problems having constraints on the observations:
reduction to an ordinary least squares problem \\
Functions of the observations, their mean errors \\
Estimating a function of observations that are subject
to constraints \\
Characterization of permissible estimates \\
The function that gives the most reliable estimate \\
The value of the most reliable estimate \\
Four formulas for the weight of the value of the
estimate \\
The case of more than one function \\
The most reliable adjustments of the observations and
their use in estimation \\
Least squares characterization of the most reliable
adjustment \\
Difficulties in determining weights \\
A better method \\
Computational details \\
Existence of the estimates \\
Estimating the mean error in the observations \\
Estimating the mean error in the observations,
continued \\
The mean error in the estimate \\
Incomplete adjustment of observations \\
Relation between complete and incomplete adjustments
\\
A block iterative method for adjusting observations \\
The inverse of a symmetric system is a symmetric
[matrix??] \\
Fundamentals of geodesy \\
De Krayenhof's triangulation \\
A triangulation from Hannover \\
Determining weights in the Hannover triangulation \\
Anzeigen / Notices: Part one, part two, supplement \\
Afterword \\
Gauss's schooldays \\
Legendre and the priority controversy \\
Beginnings: Mayer, Boscovich and Laplace \\
Gauss and Laplace \\
The theoria motus \\
Laplace and the central limit theorem \\
The Theoria Combinationis Observationum \\
The precision of observations \\
The combination of observations \\
The inversion of linear systems \\
Gaussian elimination and numerical linear algebra \\
The generalized minimum variance theorem \\
References",
}
@InProceedings{Latouche:1995:NMM,
author = "G. Latouche and G. W. Stewart",
title = "Numerical Methods for {M/G/1} Type Queues",
crossref = "Stewart:1995:CMC",
pages = "571--581",
year = "1995",
bibdate = "Thu May 29 19:15:59 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N35",
}
@Article{Stewart:1995:GQD,
author = "G. W. Stewart",
title = "On graded {$ Q R $} decompositions of products of
matrices",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "3",
pages = "39--49",
year = "1995",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Mon Sep 6 12:28:29 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.3.1995/pp39-49.dir/pp39-49.pdf",
abstract = "This paper is concerned with the singular values and
vectors of a product $ M_m = A_1 A_2 \cdots A_m $ of
matrices of order $n$. The chief difficulty with
computing them directly from $ M_m$ is that with
increasing $m$ the ratio of the small to the large
singular values of $ M_m$ may fall below the rounding
unit, so that the former are computed inaccurately. The
solution proposed here is to compute recursively the
factorization $ M_m = Q R P T$, where $Q$ is
orthogonal, $R$ is a graded upper triangular, and $ P
T$ is a permutation.",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
GWS-number = "J89",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Stewart:1995:GSG,
author = "G. W. Stewart",
title = "{Gauss}, Statistics, and {Gaussian} Elimination",
journal = j-J-COMPUT-GRAPH-STAT,
volume = "4",
number = "1",
pages = "1--11",
month = mar,
year = "1995",
CODEN = "????",
DOI = "http://dx.doi.org/10.2307/1390624",
ISSN = "1061-8600 (print), 1537-2715 (electronic)",
ISSN-L = "1061-8600",
MRclass = "01A55 (62J05 65-03 65F05)",
MRnumber = "95k:01020",
bibdate = "Mon May 5 08:43:28 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputgraphstat.bib",
URL = "http://www.jstor.org/stable/1390624",
abstract = "Gaussian elimination is the algorithm of choice for
the solution of dense linear systems of equations.
However, Gauss himself originally introduced his
elimination procedure as a way of determining the
precision of least squares estimates and only later
described the computational algorithm. This article
tells the story of Gauss, his algorithm, and its
relation to his probabilistic development of least
squares.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Graphical Statistics",
GWS-number = "J88",
journal-URL = "http://www.tandfonline.com/loi/ucgs20",
}
@TechReport{Stewart:1995:IMS,
author = "G. W. Stewart",
title = "An Iterative Method for Solving Linear Inequalities",
number = "CS-TR-1833",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
day = "6",
month = feb,
year = "1995",
bibdate = "Fri May 30 08:12:21 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://drum.lib.umd.edu/handle/1903/355",
abstract = "This paper describes and analyzes a method for finding
nontrivial solutions of the inequality $ A x \geq 0 $,
where $A$ is an $ m \times n$ matrix of rank $n$. The
method is based on the observation that a certain
function $f$ has a unique minimum if and only if the
inequality {\em fails to have} a nontrivial solution.
Moreover, if there is a solution, an attempt to
minimize $f$ will produce a sequence that will diverge
in a direction that converges to a solution of the
inequality. The technique can also be used to solve
inhomogeneous inequalities and hence linear programming
problems, although no claims are made about
competitiveness with existing methods.",
acknowledgement = ack-nhfb,
keywords = "Technical Report",
}
@TechReport{Stewart:1995:PSC,
author = "G. W. Stewart",
title = "On the perturbation of {Schur} complement in positive
semidefinite matrix",
number = "TR-95-38",
institution = inst-UMIACS,
address = inst-UMIACS:adr,
year = "1995",
bibdate = "Fri May 30 07:58:52 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
abstract = "This note gives perturbation bounds for the Schur
complement of a positive definite matrix in a positive
semidefinite matrix.",
acknowledgement = ack-nhfb,
}
@Article{Stewart:1995:SBH,
author = "G. W. Stewart",
title = "On the solution of block {Hessenberg} systems",
journal = j-NUM-LIN-ALG-APPL,
volume = "2",
number = "3",
pages = "287--296",
year = "1995",
CODEN = "NLAAEM",
DOI = "http://dx.doi.org/10.1002/nla.1680020309",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "65F30",
MRnumber = "96a:65069",
bibdate = "Thu Jan 23 18:22:28 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
URL = "http://onlinelibrary.wiley.com/doi/10.1002/nla.1680020309/abstract",
abstract = "This paper describes a divide-and-conquer strategy for
solving block Hessenberg systems. For dense matrices
the method is as efficient as Gaussian elimination;
however, because it works almost entirely with the
original blocks, it is much more efficient for sparse
matrices or matrices whose blocks can be generated on
the fly. For Toeplitz matrices, the algorithm can be
combined with the Fast Fourier Transform.",
acknowledgement = ack-nhfb,
fjournal = "Numerical Linear Algebra with Applications",
GWS-number = "J86",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
keywords = "block Hessenberg matrix, Block Toeplitz matrix, linear
system, queue",
}
@Article{Stewart:1995:SSU,
author = "G. W. Stewart",
title = "On the stability of sequential updates and downdates",
journal = j-IEEE-TRANS-SIG-PROC,
volume = "43",
number = "11",
pages = "2642--2648",
month = "????",
year = "1995",
CODEN = "ITPRED",
DOI = "http://dx.doi.org/10.1109/78.482114",
ISSN = "1053-587X (print), 1941-0476 (electronic)",
ISSN-L = "1053-587X",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=482114",
abstract = "The updating and downdating of Cholesky decompositions
has important applications in a number of areas. There
is essentially one standard updating algorithm, based
on plane rotations, which is backward stable. Three
downdating algorithms have been treated in the
literature: the LINPACK algorithm, the method of
hyperbolic transformations, and Chambers' (1971)
algorithm. Although none of these algorithms is
backward stable, the first and third satisfy a
relational stability condition. It is shown that
relational stability extends to a sequence of updates
and downdates. In consequence, other things being
equal, if the final decomposition in the sequence is
well conditioned, it will be accurately computed, even
though intermediate decompositions may be almost
completely inaccurate. These results are also applied
to the two-sided orthogonal decompositions, such as the
URV decomposition",
acknowledgement = ack-nhfb,
author-affiliation = "Dept. of Comput. Sci., Maryland Univ., College
Park, MD, USA",
book-DOI = "http://dx.doi.org/10.1109/78.482114",
fjournal = "IEEE Transactions on Signal Processing",
GWS-number = "J87",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
keywords = "algorithm; backward, decomposition; Cholesky,
algorithm; downdating, algorithm; error, algorithm;
hyperbolic, analysis; LINPACK, decompositions; matrix,
analysis; matrix, updates; numerical, decomposition;
orthogonal, rotations; plane, decompositions;
relational, stability, stability; rounding,
decomposition; roundoff, stable, transformations;
sequences; sequential, Chambers', condition;
sequential, error, errors; stability; two-sided;
updating, downdates; URV, algorithms",
}
@Article{Chang:1996:NPA,
author = "{Xiao-Wen} Chang and Christopher C. Paige and G. W.
Stewart",
title = "New Perturbation Analyses for the {Cholesky}
Factorization",
journal = j-IMA-J-NUMER-ANAL,
volume = "16",
number = "4",
pages = "457--484",
month = oct,
year = "1996",
CODEN = "IJNADH",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65F30",
MRnumber = "97g:65089",
bibdate = "Sat Dec 23 17:06:35 MST 2000",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/;
MathSciNet database",
URL = "http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160457.sgm.abs.html",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
GWS-number = "J91",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
}
@Book{Stewart:1996:ANA,
author = "G. W. (Gilbert W.) Stewart",
title = "Afternotes on numerical analysis: a series of lectures
on elementary numerical analysis presented at the
{University of Maryland at College Park} and recorded
after the fact",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "x + 200",
year = "1996",
DOI = "http://dx.doi.org/10.1137/1.9781611971491",
ISBN = "0-89871-362-5 (paperback)",
ISBN-13 = "978-0-89871-362-6 (paperback)",
LCCN = "QA297 .S785 1996",
MRclass = "65-01",
MRnumber = "1372060",
bibdate = "Tue May 27 08:35:41 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0726/95047768-d.html;
http://www.loc.gov/catdir/enhancements/fy0726/95047768-t.html",
acknowledgement = ack-nhfb,
GWS-number = "B5",
keywords = "numerical analysis",
subject = "Numerical analysis",
tableofcontents = "Part I. Nonlinear Equations \\
\\
Lecture 1. By the Dawn's Early Light \\
Interval Bisection \\
Relative Error \\
\\
Lecture 2. Newton's Method \\
Reciprocals and Square Roots \\
Local Convergence Analysis \\
Slow Death \\
\\
Lecture 3. A Quasi-Newton Method \\
Rates of Convergence \\
Iterating for a Fixed Point \\
Multiple Zeros \\
Ending with a Proposition \\
\\
Lecture 4. The Secant Method \\
Convergence \\
Rate of Convergence \\
Multipoint Methods \\
Muller's Method \\
The Linear-Fractional Method \\
\\
Lecture 5. A Hybrid Method \\
Errors, Accuracy, and Condition Numbers \\
\\
Part II. Computer Arithmetic: \\
\\
\\
Lecture 6. Floating-Point Numbers \\
Overflow and Underflow \\
Rounding Error \\
Floating-point Arithmetic \\
\\
Lecture 7. Computing Sums \\
Backward Error Analysis \\
Perturbation Analysis \\
Cheap and Chippy Chopping \\
\\
Lecture 8. Cancellation \\
The Quadratic Equation \\
That Fatal Bit of Rounding Error \\
Envoi \\
\\
Part III. Linear Equations \\
\\
\\
Lecture 9. Matrices, Vectors, and Scalars \\
Operations with Matrices \\
Rank-One Matrices \\
Partitioned Matrices \\
\\
Lecture 10. Theory of Linear Systems \\
Computational Generalities \\
Triangular Systems \\
Operation Counts \\
\\
Lecture 11. Memory Considerations \\
Row Oriented Algorithms \\
A Column Oriented Algorithm \\
General Observations on Row and Column Orientation \\
Basic Linear Algebra Subprograms \\
\\
Lecture 12. Positive Definite Matrices \\
The Cholesky Decomposition \\
Economics \\
\\
Lecture 13. Inner-Product Form of the Cholesky
Algorithm \\
Gaussian Elimination \\
\\
Lecture 14. Pivoting \\
BLAS \\
Upper Hessenberg and Tridiagonal Systems \\
\\
Lecture 15. Vector Norms \\
Matrix Norms \\
Relative Error \\
Sensitivity of Linear Systems \\
\\
Lecture 16. The Condition of Linear Systems \\
Artificial Ill Conditioning \\
Rounding Error and Gaussian Elimination \\
Comments on the Analysis \\
\\
Lecture 17. The Wonderful Residual: A Project \\
Introduction \\
More on Norms \\
The Wonderful Residual \\
Matrices with Known Condition \\
Invert and Multiply \\
Cramer's Rule \\
Submission \\
\\
Part IV. Polynomial Interpolation \\
\\
\\
Lecture 18. Quadratic Interpolation \\
Shifting \\
Polynomial Interpolation \\
Lagrange Polynomials and Existence \\
Uniqueness \\
\\
Lecture 19. Synthetic Division \\
The Newton Form of the Interpolant \\
Evaluation \\
Existence \\
Divided Differences \\
\\
Lecture 20. Error in Interpolation \\
Error Bounds \\
Convergence \\
Chebyshev Points \\
\\
Part V. Numerical Integration and Differentiation \\
\\
\\
Lecture 21. Numerical Integration \\
Change of Intervals \\
The Trapezoidal Rule \\
The Composite Trapezoidal Rule \\
Newton-Cotes Formulas \\
Undetermined Coefficients and Simpson's Rule \\
\\
Lecture 22. The Composite Simpson's Rule \\
Errors in Simpson's Rule \\
Weighting Functions \\
Gaussian Quadrature \\
\\
Lecture 23. The Setting \\
Orthogonal Polynomials \\
Existence \\
Zeros of Orthogonal Polynomials \\
Gaussian Quadrature \\
Error and Convergence \\
Examples \\
\\
Lecture 24. Numerical Differentiation and Integration
\\
Formulas From Power Series \\
Limitations \\
Bibliography",
}
@Article{vonMatt:1996:RES,
author = "Urs {von Matt} and G. W. Stewart",
title = "Rounding errors in solving block {Hessenberg}
systems",
journal = j-MATH-COMPUT,
volume = "65",
number = "213",
pages = "115--135",
month = jan,
year = "1996",
CODEN = "MCMPAF",
DOI = "http://dx.doi.org/10.1090/S0025-5718-96-00667-9",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65F05 (65G05)",
MRnumber = "96e:65019",
MRreviewer = "Alfonso Laratta",
bibdate = "Fri Jul 16 10:38:30 MDT 1999",
bibsource = "http://www.ams.org/mcom/1996-65-213;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00667-9&u=/mcom/1996-65-213/",
abstract = "A rounding error analysis is presented for a
divide-and-conquer algorithm to solve linear systems
with block Hessenberg matrices. Conditions are derived
under which the algorithm computes a stable solution.
The algorithm is shown to be stable for block
diagonally dominant matrices and for M-matrices.",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra); C1110 (Algebra); C4240
(Programming and algorithm theory)",
fjournal = "Mathematics of Computation",
GWS-number = "J90",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algebra; algorithm; algorithm theory; block diagonally
dominant; block Hessenberg; block Hessenberg system;
divide and conquer methods; divide-and-conquer; linear;
linear system solution; linear systems; M-matrices;
matrices; matrix algebra; rounding error analysis;
rounding errors; solution; stable solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Bai:1997:ASF,
author = "Z. Bai and G. W. Stewart",
title = "{Algorithm 776}. {SRRIT} --- a {FORTRAN} Subroutine to
Calculate the Dominant Invariant Subspace of a
Nonsymmetric Matrix",
journal = j-TOMS,
volume = "23",
number = "4",
pages = "494--513",
month = dec,
year = "1997",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/279232.279234;
http://www.acm.org/pubs/citations/journals/toms/1997-23-4/p494-bai/",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fortran3.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
URL = "http://doi.acm.org/10.1145/279232.279234",
abstract = "SRRIT is a Fortran program to calculate an approximate
orthonormal basis for a dominant invariant subspace of
a real matrix $A$ by the method of simultaneous
iteration. Specifically, given an integer $m$, SRRIT
computes a matrix $Q$ with $m$ orthonormal columns and
real quasi-triangular matrix $T$ of order $m$ such that
the equation $ A Q = Q T $ is satisfied up to a
tolerance specified by the user. The eigenvalues of $T$
are approximations to the $m$ eigenvalues of largest
absolute magnitude of $A$, and the columns of $Q$ span
the invariant subspace corresponding to those
eigenvalues. SRRIT references $A$ only through a
user-provided subroutine to form the product $ A Q $;
hence it is suitable for large sparse problems.",
accepted = "March 1997",
acknowledgement = ack-rfb # " and " # ack-kr # " and " # ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
GWS-number = "J96",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "algorithms, invariant subspace, nonsymmetric
eigenvalue problem, project method",
subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
Classifications, Fortran. {\bf F.2.1}: Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices. {\bf G.1.3}: Mathematics of
Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra, eigenvalues. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, certification and
testing.",
}
@Article{Chang:1997:PAF,
author = "Xiao-Wen Chang and Christopher C. Paige and G. W.
Stewart",
title = "Perturbation Analyses for the {$ Q R $}
Factorization",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "18",
number = "3",
pages = "775--791",
month = jul,
year = "1997",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/S0895479896297720",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "65F35 (15A23)",
MRnumber = "1 453 550",
bibdate = "Fri Dec 4 12:14:09 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/18/3;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/29772",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
}
@Article{Chang:1997:PAQ,
author = "Xiao-Wen Chang and Christopher C. Paige and G. W.
Stewart",
title = "Perturbation Analyses for the {$ Q R $}
Factorization",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "18",
number = "3",
pages = "775--791",
year = "1997",
CODEN = "SJMAEL",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
GWS-number = "J93",
journal-URL = "http://epubs.siam.org/simax",
}
@Article{Stewart:1997:BRA,
author = "G. W. Stewart",
title = "Book Review: {Accuracy and Stability of Numerical
Algorithms}, by {Nicholas J. Higham}",
journal = j-SIAM-REVIEW,
volume = "39",
number = "1",
pages = "164--166",
month = mar,
year = "1997",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Tue May 13 16:55:17 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib;
http://www.siam.org/journals/sirev/sirev391.htm",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@InProceedings{Stewart:1997:EVN,
author = "G. W. Stewart",
title = "Errors in Variables for Numerical Analysts",
crossref = "vanHuffel:1997:RAT",
pages = "3--10",
year = "1997",
bibdate = "Fri May 30 05:53:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
GWS-number = "N36",
}
@Article{Stewart:1997:MCS,
author = "G. W. Stewart",
title = "On {Markov} Chains with Sluggish Transients",
journal = j-STOCH-MODELS,
volume = "13",
pages = "85--95",
year = "1997",
CODEN = "CSSME8",
DOI = "http://dx.doi.org/10.1080/15326349708807414",
ISSN = "1532-6349 (print), 1532-4214 (electronic)",
ISSN-L = "1532-6349",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib",
abstract = "In this note it is shown how to construct a Markov
chain whose subdominant eigenvalue does not predict the
decay of its transient",
acknowledgement = ack-nhfb,
fjournal = "Stochastic Models",
GWS-number = "J95",
journal-URL = "http://www.tandfonline.com/loi/lstm19",
xxpages = "85--94",
}
@Article{Stewart:1997:PCF,
author = "G. W. Stewart",
title = "On the Perturbation of {$ L U $} and {Cholesky}
Factors",
journal = j-IMA-J-NUMER-ANAL,
volume = "17",
number = "1",
pages = "1--6",
month = jan,
year = "1997",
CODEN = "IJNADH",
DOI = "http://dx.doi.org/10.1093/imanum/17.1.1",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65F30",
MRnumber = "97m:65090",
bibdate = "Sat Dec 23 17:06:35 MST 2000",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/;
MathSciNet database",
URL = "http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170001.sgm.abs.html",
abstract = "In a recent paper, Chang and Paige have shown that the
usual perturbation bounds for Cholesky factors can
systematically overestimate the errors. In this note we
sharpen their results and extend them to the factors of
the LU decomposition. The results are based on a new
formula for the first-order terms of the error in the
factors.",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
GWS-number = "J92",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
}
@Article{Stewart:1997:TMG,
author = "G. W. Stewart",
title = "The Triangular Matrices of {Gaussian} Elimination and
Related Decompositions",
journal = j-IMA-J-NUMER-ANAL,
volume = "17",
number = "1",
pages = "7--16",
month = jan,
year = "1997",
CODEN = "IJNADH",
DOI = "http://dx.doi.org/10.1093/imanum/17.1.7",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
MRclass = "65F30",
MRnumber = "97i:65076",
bibdate = "Sat Dec 23 17:06:35 MST 2000",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/;
MathSciNet database",
URL = "http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170007.sgm.abs.html",
abstract = "It has become commonplace that triangular systems are
solved to higher accuracy than their condition would
warrant. This observation is not true in general, and
counterexamples are easy to construct. However, it is
often true of the triangular matrices from pivoted $ L
U $ or $ Q R $ decompositions. It is shown that this
fact is closely connected with the rank-revealing
character of these decompositions.",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
GWS-number = "J94",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
}
@Article{Stewart:1997:WML,
author = "G. W. Stewart",
title = "On the weighting method for least squares problems
with linear equality constraints",
journal = j-BIT-NUM-MATH,
volume = "37",
number = "4",
pages = "961--967",
month = dec,
year = "1997",
CODEN = "BITTEL, NBITAB",
DOI = "http://dx.doi.org/10.1007/BF02510363",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65F20",
MRnumber = "98g:65035",
bibdate = "Fri Nov 13 07:00:34 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.mai.liu.se/BIT/contents/bit37.html",
abstract = "The weighting method for solving a least squares
problem with linear equality constraints multiplies the
constraints by a large number and appends them to the
top of the least squares problem, which is then solved
by standard techniques. In this paper we give a new
analysis of the method, based on the QR decomposition,
that exhibits many features of the algorithm. In
particular it suggests a natural criterion for choosing
the weighting factor.",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
GWS-number = "J97",
journal-URL = "http://link.springer.com/journal/10543",
}
@InProceedings{Boisvert:1998:DNLa,
author = "Ronald F. Boisvert and Jack J. Dongarra and Roldan
Pozo and Karin A. Remington and G. W. Stewart",
title = "Developing numerical libraries in {Java}",
crossref = "ACM:1998:AWJ",
pages = "??--??",
year = "1998",
bibdate = "Thu Apr 27 10:43:08 2000",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/java.bib;
http://www.math.utah.edu/pub/tex/bib/sigplan1990.bib",
URL = "http://www.cs.ucsb.edu/conferences/java98/papers/jnt.pdf;
http://www.cs.ucsb.edu/conferences/java98/papers/jnt.ps;
http://www.netlib.org/utk/people/JackDongarra/PAPERS/jnt.ps;
http://www.netlib.org/utk/people/JackDongarra/pdf/jnt.pdf",
acknowledgement = ack-nhfb,
}
@Article{Boisvert:1998:DNLb,
author = "Ronald F. Boisvert and Jack J. Dongarra and Roldan
Pozo and Karin A. Remington and G. W. Stewart",
title = "Developing numerical libraries in {Java}",
journal = j-CPE,
volume = "10",
number = "11--13",
pages = "1117--1129",
month = sep,
year = "1998",
CODEN = "CPEXEI",
DOI = "http://dx.doi.org/10.1002/(SICI)1096-9128(199809/11)10:11/13<1117::AID-CPE386>3.3.CO;2-9",
ISSN = "1040-3108 (print), 1096-9128 (electronic)",
ISSN-L = "1040-3108",
bibdate = "Tue Sep 7 06:06:44 MDT 1999",
bibsource = "http://www.interscience.wiley.com/jpages/1040-3108/;
http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/cpe.bib;
http://www.math.utah.edu/pub/tex/bib/java.bib;
http://www3.interscience.wiley.com/journalfinder.html",
note = "Special Issue: Java for High-performance Network
Computing.",
URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=10050395;
http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=10050395&PLACEBO=IE.pdf",
acknowledgement = ack-nhfb,
fjournal = "Concurrency, practice and experience",
GWS-number = "J101",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/%28ISSN%291532-0634/issues",
}
@Article{Oleary:1998:CNR,
author = "D. P. Oleary and G. W. Stewart",
title = "On the convergence of a new {Rayleigh} quotient method
with applications to large eigenproblems",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "7",
pages = "182--189",
year = "1998",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Mon Sep 6 12:28:29 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
note = "Large scale eigenvalue problems (Argonne, IL, 1997)",
URL = "http://etna.mcs.kent.edu/vol.7.1998/pp182-189.dir/pp182-189.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@TechReport{Roginsky:1998:TDE,
author = "Jacob Roginsky and G. W. Stewart",
title = "Time-Domain Extraction of Broad-Band Sources by
{Tikhonov--Phillips} Regularization of Triangular
{Toeplitz} Kernels",
type = "Technical Report",
number = "UMIACS-TR-95-87",
institution = inst-UMIACS,
address = inst-UMIACS:adr,
day = "15",
month = oct,
year = "1998",
bibdate = "Fri May 30 07:42:32 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://drum.lib.umd.edu/handle/1903/755",
abstract = "Single receiver source deconvolution in a
shallow-water environment is an ill-posed problem whose
difficulty is compounded by the multipath nature of the
propagation operator. If only sources that are
quiescent prior to some initial time to are considered,
the result of discretizing the problem in the time
domain is an ill-conditioned triangular Toeplitz
system. In this paper we show how an algorithm of Elden
can be used to implement Tikhonov--Phillips
regularization for this system. Unlike the multichannel
deconvolution techniques used in underwater acoustics,
this method can extract source signatures using the
outputs of a single sensor. In addition, when the
propagation is multipath and source signature
extraction is performed as part of an optimization
procedure for environmental inversion, we can work with
shorter time windows so that the process becomes
computationally more efficient than frequency domain
deconvolution. A number of examples of the use of the
Tikhonov--Phillips regularization method for source
series extraction are provided. (Also cross-referenced
as UMIACS-TR-95-87).",
acknowledgement = ack-nhfb,
}
@Book{Stewart:1998:AGG,
author = "G. W. (Gilbert W.) Stewart",
title = "Afternotes goes to graduate school: lectures on
advanced numerical analysis",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xii + 245",
year = "1998",
DOI = "http://dx.doi.org/10.1137/1.9781611971422",
ISBN = "0-89871-404-4 (paperback)",
ISBN-13 = "978-0-89871-404-3 (paperback)",
LCCN = "QA297 .S784 1998",
MRclass = "65-01",
MRnumber = "1613128 (98m:65004)",
bibdate = "Fri Nov 16 09:49:25 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
note = "A series of lectures on advanced numerical analysis
presented at the University of Maryland at College Park
and recorded after the fact.",
URL = "http://www.loc.gov/catdir/enhancements/fy0726/97044449-d.html;
http://www.loc.gov/catdir/enhancements/fy0726/97044449-t.html",
acknowledgement = ack-nhfb,
GWS-number = "B6",
subject = "Numerical analysis",
tableofcontents = "Part I. Approximation \\
Lecture 1. General observations \\
Decline and fall \\
The linear sine \\
Approximation in normed linear spaces \\
Significant differences \\
Lecture 2. The space $C[0,1]$ \\
Existence of best approximations \\
Uniqueness of best approximations \\
Convergence in $C[0,1]$ \\
The Weierstrass approximation theorem \\
Bernstein polynomials \\
Comments \\
Lecture 3. Chebyshev approximation \\
Uniqueness \\
Convergence of Chebyshev approximations \\
Rates of convergence \\
Part II. Linear and Cubic Splines \\
Lecture 10. Piecewise linear interpolation \\
The error in $L(f)$ \\
Approximations in the $\infty$-norm \\
Hat functions \\
Integration \\
Least squares approximation \\
Implementations issues \\
Lecture 11. Cubic splines \\
Derivation of the cubic spline \\
End conditions \\
Convergence \\
Locality \\
Part III. Eigensystems \\
Part IV. Krylov Sequence Methods \\
Part V. Iterations, Linear and Nonlinear",
}
@Article{Stewart:1998:AM,
author = "G. W. Stewart",
title = "On the Adjugate Matrix",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "283",
number = "1--3",
pages = "151--164",
day = "1",
month = nov,
year = "1998",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Fri May 28 09:34:24 MDT 1999",
bibsource = "http://www.elsevier.com/locate/laa;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/linala1990.bib",
URL = "http://www.elsevier.com/cas/tree/store/laa/sub/1998/283/1-3/6217.pdf;
http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1998&volume=283&issue=1-3&aid=6217",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J100",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Stewart:1998:HTS,
author = "Michael Stewart and G. W. Stewart",
title = "On Hyperbolic Triangularization: Stability and
Pivoting",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "19",
number = "4",
pages = "847--860",
month = oct,
year = "1998",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/S0895479897319581",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Fri Dec 4 12:14:09 MST 1998",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/19/4;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/31958",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
}
@Book{Stewart:1998:MAV,
author = "G. W. (Gilbert W.) Stewart",
title = "Matrix algorithms. Volume 1. Basic decompositions",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xix + 458",
year = "1998",
DOI = "http://dx.doi.org/10.1137/1.9781611971408",
ISBN = "0-89871-414-1",
ISBN-13 = "978-0-89871-414-2",
LCCN = "QA188 .S714 1998",
MRclass = "65-01 (65Fxx)",
MRnumber = "1653546",
bibdate = "Tue May 27 07:40:02 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib",
note = "Basic decompositions",
abstract = "This volume is the first in a self-contained
five-volume series devoted to matrix algorithms. It
focuses on the computation of matrix
decompositions---that is, the factorization of matrices
into products of similar ones. The first two chapters
provide the required background from mathematics and
computer science needed to work effectively in matrix
computations. The remaining chapters are devoted to the
$ L U $ and $ Q R $ decompositions---their computation
and applications. The singular value decomposition is
also treated, although algorithms for its computation
will appear in the second volume of the series. The
present volume contains 65 algorithms formally
presented in pseudocode. Other volumes in the series
will treat eigensystems, iterative methods, sparse
matrices, and structured problems. The series is aimed
at the nonspecialist who needs more than black-box
proficiency with matrix computations. To give the
series focus, the emphasis is on algorithms, their
derivation, and their analysis. The reader is assumed
to have a knowledge of elementary analysis and linear
algebra and a reasonable amount of programming
experience, typically that of the beginning graduate
engineer or the undergraduate in an honors program.
Strictly speaking, the individual volumes are not
textbooks, although they are intended to teach, the
guiding principle being that if something is worth
explaining, it is worth explaining fully. This has
necessarily restricted the scope of the series, but the
selection of topics should give the reader a sound
basis for further study.",
acknowledgement = ack-nhfb,
GWS-number = "B7",
tableofcontents = "Algorithms \\
Notation \\
Preface \\
1. Matrices, algebra, and analysis \\
2. Matrices and machines \\
3. Gaussian elimination \\
4. The $QR$ decomposition and least squares \\
5. Rank-reducing decompositions \\
References \\
Index",
}
@TechReport{Stewart:1998:SC,
author = "G. W. Stewart",
title = "On Sublinear Convergence",
type = "Technical report",
number = "UMIACS-TR-95-92",
institution = inst-UMIACS,
address = inst-UMIACS:adr,
month = "1998/10/15/",
year = "1998",
bibdate = "Fri May 30 07:40:54 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://drum.lib.umd.edu/handle/1903/760",
abstract = "This note develops a theory of sublinearly converging
sequences, including a categorization of the rates of
convergence and a method for determining the rate from
an iteration function. (Also cross-referenced as
UMIACS-TR-95-92)",
acknowledgement = ack-nhfb,
keywords = "Technical Report",
}
@TechReport{Stewart:1998:TAE,
author = "G. W. Stewart",
title = "Two Algorithms for the The Efficient Computation of
Truncated Pivoted {$ Q R $} Approximations to a Sparse
Matrix",
type = "Technical Report",
number = "UMIACS-TR-98-12",
institution = inst-UMIACS,
address = inst-UMIACS:adr,
day = "15",
month = oct,
year = "1998",
bibdate = "Fri May 30 07:46:55 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://drum.lib.umd.edu/handle/1903/941",
abstract = "In this note we propose two algorithms to compute
truncated pivoted $ Q R $ approximations to a sparse
matrix. One is based on the Gram--Schmidt algorithm,
and the other on Householder triangularization. Both
algorithms leave the original matrix unchanged, and the
only additional storage requirements are arrays to
contain the factorization itself. Thus, the algorithms
are particularly suited to determining low-rank
approximations to a sparse matrix. (Also
cross-referenced as UMIACS-TR-98-12)",
acknowledgement = ack-nhfb,
keywords = "Technical Report",
}
@TechReport{Stewart:1998:TMG,
author = "G. W. Stewart",
title = "The Triangular Matrices of {Gaussian} Elimination and
Related Decompositions",
type = "Technical Report",
number = "UMIACS-TR-95-91",
institution = inst-UMIACS,
address = inst-UMIACS:adr,
day = "15",
month = oct,
year = "1998",
bibdate = "Fri May 30 07:45:58 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://drum.lib.umd.edu/handle/1903/759",
abstract = "It has become a commonplace that triangular systems
are solved to higher accuracy than their condition
would warrant. This observation is not true in general,
and counterexamples are easy to construct. However, it
is often true of the triangular matrices from pivoted
LU or QR decompositions. It is shown that this fact is
closely connected with the rank-revealing character of
these decompositions.",
acknowledgement = ack-nhfb,
keywords = "Technical Report",
}
@TechReport{Stewart:1998:TSR,
author = "G. W. Stewart",
title = "Two Simple Residual Bounds for the Eigenvalues of
{Hermitian} Matrices",
number = "UMIACS-TR-89-123",
institution = inst-UMIACS,
address = inst-UMIACS:adr,
day = "15",
month = oct,
year = "1998",
bibdate = "Fri May 30 07:48:31 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://drum.lib.umd.edu/handle/1903/545",
abstract = "Let $A$ be Hermitian and let the orthonormal columns
of $X$ span an approximate invariant subspace of $X$.
Then the residual $ R = A X - X M$ $ (M = X \ctp A X)$
will be small. The theorems of this paper bound the
distance of the spectrum of $M$ from the spectrum of
$A$ in terms of appropriate norms of $R$. Appeared in
SIAM J. Mat. Anal. Appl. 12 (1991) 205--208. (Also
cross-referenced as UMIACS-TR-89-123)",
acknowledgement = ack-nhfb,
}
@Article{Kilmer:1999:IRM,
author = "Misha Kilmer and G. W. Stewart",
title = "Iterative Regularization and {MINRES}",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "21",
number = "2",
pages = "613--628",
year = "1999",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/S0895479898348623",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Fri Oct 27 07:23:28 MDT 2000",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/21/2;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/34862",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
GWS-number = "J104",
journal-URL = "http://epubs.siam.org/simax",
}
@Article{Stewart:1999:BRN,
author = "G. W. Stewart",
title = "Book Reviews: {{\em Numerical linear algebra}}, by
{Lloyd N. Trefethen} and {David Bau, III}",
journal = j-MATH-COMPUT,
volume = "68",
number = "225",
pages = "??--??",
month = jan,
year = "1999",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jul 26 12:45:31 1999",
bibsource = "http://www.ams.org/mcom/1999-68-225;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-99-00992-8&u=/mcom/1999-68-225/",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
xxpages = "453--459",
}
@Article{Stewart:1999:FAE,
author = "G. W. Stewart",
title = "Four algorithms for the efficient computation of
truncated pivoted {$ Q R $} approximations to a sparse
matrix",
journal = j-NUM-MATH,
volume = "83",
number = "2",
pages = "313--323",
month = aug,
year = "1999",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 10:45:15 MDT 1999",
bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830313.htm;
http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830313.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J103",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Stewart:1999:QAS,
author = "G. W. Stewart",
title = "The {QLP} Approximation to the Singular Value
Decomposition",
journal = j-SIAM-J-SCI-COMP,
volume = "20",
number = "4",
pages = "1336--1348",
month = jul,
year = "1999",
CODEN = "SJOCE3",
DOI = "http://dx.doi.org/10.1137/S1064827597319519",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Sat Jul 17 19:14:35 MDT 1999",
bibsource = "http://epubs.siam.org/toc/sjoce3/20/4;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/31951",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
GWS-number = "J102",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Holland:2000:WLC,
author = "John H. Holland and Lashon B. Booker and Marco
Colombetti and Marco Dorigo and David E. Goldberg and
Stephanie Forrest and Rick L. Riolo and Robert E. Smith
and Pier Luca Lanzi and Wolfgang Stolzmann and Stewart
W. Wilson",
title = "What Is a Learning Classifier System?",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1813",
pages = "3--??",
year = "2000",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Fri Feb 1 09:16:30 MST 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t.htm;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/lncs2000.bib",
URL = "http://link.springer-ny.com/link/service/series/0558/bibs/1813/18130003.htm;
http://link.springer-ny.com/link/service/series/0558/papers/1813/18130003.pdf",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Li:2000:NRP,
author = "Ren-Cang Li and G. W. Stewart",
title = "A new relative perturbation theorem for singular
subspaces",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "313",
number = "1--3",
pages = "41--51",
day = "1",
month = jul,
year = "2000",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Oct 9 10:54:41 MDT 2000",
bibsource = "http://www.elsevier.com/locate/laa;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala2000.bib",
URL = "http://www.elsevier.nl/gej-ng/10/30/19/130/25/27/abstract.html;
http://www.elsevier.nl/gej-ng/10/30/19/130/25/27/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J106",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Stewart:2000:BRA,
author = "G. W. Stewart",
title = "Book review: {{\em ARPACK Users' Guide, Solution of
Large-Scale Eigenvalue Problems with Implicitly
Restarted Arnoldi Methods}}",
journal = j-MATH-COMPUT,
volume = "69",
number = "231",
pages = "1309--1311",
month = jul,
year = "2000",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Nov 1 11:50:05 MST 2000",
bibsource = "http://www.ams.org/mcom/2000-69-231;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib",
URL = "http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/bookrev-S0025-5718-00-01249-7.html;
http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.dvi;
http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.pdf;
http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.ps;
http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.tex",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Stewart:2000:DAM,
author = "G. W. Stewart",
title = "The Decompositional Approach to Matrix Computation",
journal = j-COMPUT-SCI-ENG,
volume = "2",
number = "1",
pages = "50--59",
month = jan # "\slash " # feb,
year = "2000",
CODEN = "CSENFA",
DOI = "http://dx.doi.org/10.1109/5992.814658",
ISSN = "1521-9615 (print), 1558-366X (electronic)",
ISSN-L = "1521-9615",
bibdate = "Wed May 28 16:46:19 MDT 2014",
bibsource = "http://www.computer.org/cse/cs1999;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/computscieng.bib",
URL = "http://dlib.computer.org/cs/books/cs2000/pdf/c1050.pdf;
http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=814658;
http://www.computer.org/cse/cs1999/c1050abs.htm",
acknowledgement = ack-nhfb,
author-affiliation = "Dept. of Comput. Sci., Maryland Univ., College
Park, MD, USA",
book-DOI = "http://dx.doi.org/10.1109/5992.814658",
fjournal = "Computing in Science and Engineering",
GWS-number = "J105",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992",
}
@Article{Jia:2001:ARR,
author = "Zhongxiao Jia and G. W. Stewart",
title = "An analysis of the {Rayleigh--Ritz} method for
approximating eigenspaces",
journal = j-MATH-COMPUT,
volume = "70",
number = "234",
pages = "637--647",
month = apr,
year = "2001",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Apr 18 05:10:18 MDT 2001",
bibsource = "http://www.ams.org/mcom/2001-70-234;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib",
URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-00-01208-4;
http://www.ams.org/mcom/2001-70-234/S0025-5718-00-01208-4/S0025-5718-00-01208-4.dvi;
http://www.ams.org/mcom/2001-70-234/S0025-5718-00-01208-4/S0025-5718-00-01208-4.pdf;
http://www.ams.org/mcom/2001-70-234/S0025-5718-00-01208-4/S0025-5718-00-01208-4.ps;
http://www.ams.org/mcom/2001-70-234/S0025-5718-00-01208-4/S0025-5718-00-01208-4.tex",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
GWS-number = "J107",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Stewart:2001:EGM,
author = "G. W. Stewart",
title = "On the eigensystems of graded matrices",
journal = j-NUM-MATH,
volume = "90",
number = "2",
pages = "349--370",
month = dec,
year = "2001",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/s002110100290",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sun Feb 3 10:07:58 MST 2002",
bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t1090002.htm;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/1090002/10900349.htm;
http://link.springer-ny.com/link/service/journals/00211/papers/1090002/10900349.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J109",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Stewart:2001:GST,
author = "G. W. Stewart",
title = "A generalization of {Saad}'s theorem on
{Rayleigh--Ritz} approximations",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "327",
number = "1--3",
pages = "115--119",
day = "15",
month = apr,
year = "2001",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Apr 3 07:01:32 MDT 2001",
bibsource = "http://www.elsevier.com/locate/laa;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala2000.bib",
URL = "http://www.elsevier.nl/gej%2Dng/10/30/19/152/25/35/abstract.html;
http://www.elsevier.nl/gej%2Dng/10/30/19/152/25/35/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J108",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Stewart:2001:KSA,
author = "G. W. Stewart",
title = "A {Krylov--Schur} Algorithm for Large Eigenproblems",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "23",
number = "3",
pages = "601--614",
year = "2001",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/S0895479800371529",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Fri Feb 22 09:58:18 MST 2002",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/23/3;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/37152",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
GWS-number = "J111",
journal-URL = "http://epubs.siam.org/simax",
}
@Book{Stewart:2001:MAV,
author = "G. W. Stewart",
title = "Matrix Algorithms. {Volume II}: Eigensystems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xix + 469",
year = "2001",
ISBN = "0-89871-503-2 (paperback), 0-89871-805-8 (e-book)",
ISBN-13 = "978-0-89871-503-3 (paperback), 978-0-89871-805-8
(e-book)",
LCCN = "QA188 .S714 1998 v.2",
bibdate = "Sun Jun 19 12:32:58 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/numana2000.bib",
abstract = "This book is the second volume in a projected
five-volume survey of numerical linear algebra and
matrix algorithms. This volume treats the numerical
solution of dense and large-scale eigenvalue problems
with an emphasis on algorithms and the theoretical
background required to understand them. Stressing depth
over breadth, Professor Stewart treats the derivation
and implementation of the more important algorithms in
detail. The notes and references sections contain
pointers to other methods along with historical
comments.",
acknowledgement = ack-nhfb,
GWS-number = "B8",
subject = "Matrices",
tableofcontents = "1. Eigensystems \\
2. The $QR$ algorithm \\
3. The symmetric eigenvalue problem \\
4. Eigenspaces and their approximation \\
5. Krylov sequence methods \\
6. Alternatives \\
7. Appendix : background",
}
@Article{Stewart:2002:AKS,
author = "G. W. Stewart",
title = "Addendum to {``A Krylov--Schur Algorithm for Large
Eigenproblems''}",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "24",
number = "2",
pages = "599--601",
year = "2002",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/S0895479802403150",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Fri Aug 15 05:45:45 MDT 2003",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/24/2;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/40315",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
GWS-number = "J113",
journal-URL = "http://epubs.siam.org/simax",
}
@Article{Stewart:2002:ARQ,
author = "G. W. Stewart",
title = "Adjusting the {Rayleigh} Quotient in Semiorthogonal
{Lanczos} Methods",
journal = j-SIAM-J-SCI-COMP,
volume = "24",
number = "1",
pages = "201--207",
month = jan,
year = "2002",
CODEN = "SJOCE3",
DOI = "http://dx.doi.org/10.1137/S1064827501388984",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Tue Oct 22 18:24:38 MDT 2002",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/24/1;
http://epubs.siam.org/toc/sjoce3/24/1;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/38898",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
GWS-number = "J112",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Stewart:2002:BEB,
author = "G. W. Stewart",
title = "Backward error bounds for approximate {Krylov}
subspaces",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "340",
number = "1--3",
pages = "81--86",
day = "1",
month = jan,
year = "2002",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Sat Feb 23 11:16:42 MST 2002",
bibsource = "http://www.elsevier.com/locate/laa;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala2000.bib",
URL = "http://www.elsevier.com/gej-ng/10/30/19/172/27/32/abstract.html",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J110",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@TechReport{Stewart:2003:BOF,
author = "G. W. Stewart",
title = "Building an Old-Fashioned Sparse Solver",
type = "Technical Report",
number = "TR-4527",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
year = "2003",
bibdate = "Fri May 30 05:54:18 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
note = "Also issued as University of Maryland Institute for
Advanced Computer Studies UMIACS report TR-2003-95.",
acknowledgement = ack-nhfb,
GWS-number = "N37",
}
@Article{Stewart:2003:MLD,
author = "G. W. Stewart",
title = "Memory leaks in derived types revisited",
journal = j-FORTRAN-FORUM,
volume = "22",
number = "3",
pages = "25--27",
month = dec,
year = "2003",
CODEN = "????",
ISSN = "1061-7264 (print), 1931-1311 (electronic)",
ISSN-L = "1061-7264",
bibdate = "Mon Jan 5 17:53:11 MST 2004",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fortran-forum.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Fortran Forum",
GWS-number = "J115",
issue = "67",
journal-URL = "http://portal.acm.org/toc.cfm?id=J286",
}
@Article{Stewart:2003:PMP,
author = "G. W. Stewart",
title = "On the powers of a matrix with perturbations",
journal = j-NUM-MATH,
volume = "96",
number = "2",
pages = "363--376",
month = dec,
year = "2003",
CODEN = "NUMMA7",
DOI = "http://dx.doi.org/10.1007/s00211-003-0470-0",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Tue Jan 13 17:22:49 MST 2004",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
GWS-number = "J114",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Stewart:2004:ELP,
author = "G. W. Stewart",
title = "An {Elsner}-like perturbation theorem for generalized
eigenvalues",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "390",
number = "1",
pages = "1--5",
day = "1",
month = oct,
year = "2004",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Nov 9 07:02:36 MST 2004",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J116",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Berry:2005:ACS,
author = "Michael W. Berry and Shakhina A. Pulatova and G. W.
Stewart",
title = "{Algorithm 844}: {Computing} sparse reduced-rank
approximations to sparse matrices",
journal = j-TOMS,
volume = "31",
number = "2",
pages = "252--269",
month = jun,
year = "2005",
CODEN = "ACMSCU",
DOI = "http://dx.doi.org/10.1145/1067967.1067972",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Jun 21 16:55:57 MDT 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
abstract = "In many applications---latent semantic indexing, for
example---it is required to obtain a reduced rank
approximation to a sparse matrix $A$. Unfortunately,
the approximations based on traditional decompositions,
like the singular value and $ Q R$ decompositions, are
not in general sparse. Stewart [(1999), 313--323] has
shown how to use a variant of the classical
Gram--Schmidt algorithm, called the
quasi-Gram--Schmidt-algorithm, to obtain two kinds of
low-rank approximations. The first, the $ S P Q R$,
approximation, is a pivoted, $Q$-less $ Q R$
approximation of the form $ (X R_{11}^{-1})(R_{11}
R_{12}) $, where $X$ consists of columns of $A$. The
second, the $ S C R$ approximation, is of the form the
form $ A \approx X T Y T $, where $X$ and $Y$ consist
of columns and rows $A$, and $T$ is small. In this
article we treat the computational details of these
algorithms and describe a MATLAB implementation.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
GWS-number = "J118",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@Article{Stewart:2005:EAQ,
author = "G. W. Stewart",
title = "Error Analysis of the Quasi-{Gram--Schmidt}
Algorithm",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "27",
number = "2",
pages = "493--506",
month = apr,
year = "2005",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/040607794",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Thu Dec 29 16:33:54 MST 2005",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/27/2;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/60779",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
GWS-number = "J117",
journal-URL = "http://epubs.siam.org/simax",
}
@Article{Fassbender:2006:CVF,
author = "Heike Fassbender and Michael Griebel and Olga Holtz
and G. W. (Pete) Stewart and Christoph Zenger",
title = "Curriculum vitae of {Friedrich Ludwig Bauer}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "417",
number = "2--3",
pages = "299--300",
day = "1",
month = sep,
year = "2006",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 14:18:53 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Stewart:2006:NGH,
author = "G. W. Stewart",
title = "A note on generalized and hypergeneralized
projectors",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "412",
number = "2--3",
pages = "408--411",
day = "15",
month = jan,
year = "2006",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Mon Mar 13 16:56:11 MST 2006",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
GWS-number = "J119",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Stewart:2008:BGS,
author = "G. W. Stewart",
title = "Block {Gram--Schmidt} Orthogonalization",
journal = j-SIAM-J-SCI-COMP,
volume = "31",
number = "1",
pages = "761--775",
month = "????",
year = "2008",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Wed May 19 10:44:12 MDT 2010",
bibsource = "http://epubs.siam.org/toc/sjoce3/31/1;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
abstract = "The classical Gram--Schmidt algorithm for computing
the QR factorization of a matrix $X$ requires at least
one pass over the current orthogonalized matrix $Q$ as
each column of $X$ is added to the factorization. When
$Q$ becomes so large that it must be maintained on a
backing store, each pass involves the costly transfer
of data from the backing store to main memory. However,
if one orthogonalizes the columns of $X$ in blocks of
$m$ columns, the number of passes is reduced by a
factor of $ 1 / m$. Moreover, matrix-vector products
are converted into matrix-matrix products, allowing
level-3 BLAS cache performance. In this paper we derive
such a block algorithm and give some experimental
results that suggest it can be quite effective for
large scale problems, even when the matrix $X$ is rank
degenerate.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
GWS-number = "J121",
journal-URL = "http://epubs.siam.org/sisc",
keywords = "blocked algorithm, Gram--Schmidt algorithm,
orthogonalization, QR factorization",
}
@Article{Lee:2009:AET,
author = "Che-Rung Lee and G. W. Stewart",
title = "{Algorithm 879}: {EIGENTEST} --- a test matrix
generator for large-scale eigenproblems",
journal = j-TOMS,
volume = "35",
number = "1",
pages = "7:1--7:11",
month = jul,
year = "2009",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/1377603.1377610",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Aug 5 18:12:48 MDT 2008",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fortran3.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
URL = "http://doi.acm.org/10.1145/1377603.1377610",
abstract = "Eigentest is a package that produces real test
matrices with known eigensystems. A test matrix, called
an eigenmat, is generated in a factored form, in which
the user can specify the eigenvalues and has some
control over the condition of the eigenvalues and
eigenvectors. An eigenmat $A$ of order $n$ requires
only $ O(n) $ storage for its representation. Auxiliary
programs permit the computation of $ (A - s I) b $, $
(A - s I)^T b $, $ (A - s I)^{-1} b $, and $ (A - s
I)^{-T} b $ in $ O(n) $ operations. A special routine
computes specified eigenvectors of an eigenmat and the
condition of its eigenvalue. Thus eigenmats are
suitable for testing algorithms based on Krylov
sequences, as well as others based on matrix-vector
products. This article introduces the eigenmat and
describes implementations in Fortran 77, Fortran 95, C,
and Matlab.",
acknowledgement = ack-nhfb,
articleno = "7",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
GWS-number = "J120",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Eigensystem, test matrix generation",
keywords = "eigensystem; test matrix generation",
}
@TechReport{Stewart:2009:FMP,
author = "G. W. Stewart",
title = "{Flap}: {A} {Matlab} Package for Adjustable Precision
Floating-Point Arithmetic",
type = "Report",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
year = "2009",
bibdate = "Sun Jun 19 13:11:45 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib",
URL = "http://www.cs.umd.edu/~stewart/flap/flap.html",
abstract = "Flap is a package to implement floating-point
arithmetic with adjustable precision. Specifically,
operations are performed on Matlab doubles but are
rounded to a user specified number of decimal digits
after each operation. The number can be changed
dynamically. Flap is intended to make it easy to
generate examples of the effects of rounding error for
classroom use.",
acknowledgement = ack-nhfb,
}
@TechReport{Stewart:2009:UCC,
author = "G. W. Stewart",
title = "An Unreliable Convergence Criterion for {Arnoldi}'s
Method",
type = "Technical Report",
number = "CMSC TR-4938",
institution = inst-CS-U-MARYLAND,
address = inst-CS-U-MARYLAND:adr,
year = "2009",
bibdate = "Fri May 30 07:30:55 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
}
@Article{Stewart:2010:SAM,
author = "G. W. Stewart",
title = "On the Semidefinite {$B$-Arnoldi} Method",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "31",
number = "3",
pages = "1458--1468",
month = "????",
year = "2010",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/090759252",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Tue May 18 22:32:37 MDT 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://link.aip.org/link/?SML/31/1458/1",
abstract = "The B-Arnoldi method is a variant of the ordinary
Arnoldi method in which orthogonalization is done with
respect to the inner product generated by a positive
definite matrix $B$. It arises in connection with the
generalized eigenvalue problem $ A x = \lambda B x$.
When $B$ is semidefinite, the algorithm can proceed
formally, with ``orthogonalization'' taking place in
the semi-inner product generated by $B$. However, it
has been observed that components of the Arnoldi
vectors lying in the null space of $B$ can grow
rapidly. In this paper we examine the source and
consequences of this growth.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
keywords = "Arnoldi's method, B-inner product, null-space
component, semidefinite B",
}
@Article{Stewart:2011:NAO,
author = "G. W. Stewart",
title = "On the Numerical Analysis of Oblique Projectors",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "32",
number = "1",
pages = "309--348",
month = "????",
year = "2011",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/100792093",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Thu Jun 9 09:09:08 MDT 2011",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/32/1;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/simax/resource/1/sjmael/v32/i1/p309_s1;
http://link.aip.org/link/?SML/32/309/1",
abstract = "An oblique projector is an idempotent matrix whose
null space is oblique to its range, in contrast to an
orthogonal projector, whose null space is orthogonal to
its range. Oblique projectors arise naturally in many
applications and have a substantial literature. Missing
from that literature, however, are systematic
expositions of their numerical properties, including
their perturbation theory, their various
representations, their behavior in the presence of
rounding error, the computation of complementary
projections, and updating algorithms. This article is
intended to make a start at filling this gap. The first
part of the article is devoted to the first four of the
above topics, with particular attention given to
complementation. In the second part, stable algorithms
are derived for updating an XQRY representation of
projectors, which was introduced in the first part.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
keywords = "$B$-orthogonality, oblique projector, Perturbation
theory, updating algorithms, XQRY form",
onlinedate = "March 31, 2011",
}
@Article{Lam:2013:DFP,
author = "Michael O. Lam and Jeffrey K. Hollingsworth and G. W.
Stewart",
title = "Dynamic floating-point cancellation detection",
journal = j-PARALLEL-COMPUTING,
volume = "39",
number = "3",
pages = "146--155",
month = mar,
year = "2013",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Wed Mar 27 07:19:15 MDT 2013",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib;
http://www.sciencedirect.com/science/journal/01678191",
URL = "http://www.sciencedirect.com/science/article/pii/S0167819112000622",
acknowledgement = ack-nhfb,
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191/",
}
%%% ====================================================================
%%% Part 2 (of 2) --- publications about G. W. Stewart and his works
%%%
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with ``bibsort -byyear'':
@Article{Campbell:1981:RBU,
author = "Stephen L. Campbell",
title = "Review of {{\booktitle{Linpack User's Guide}} by J. J.
Dongarra, C. B. Moler, J. R. Bunch, and G. W.
Stewart}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "39",
number = "??",
pages = "293--294",
month = aug,
year = "1981",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(81)90311-6",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Nov 30 13:48:48 MST 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379581903116",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Plemmons:1981:RBM,
author = "R. J. Plemmons",
title = "Review of {{\booktitle{Sparse matrix proceedings
1978}}, edited by Iain S. Duff and G. W. Stewart}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "40",
number = "??",
pages = "275--278",
month = oct,
year = "1981",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(81)90158-0",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Nov 30 13:48:50 MST 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379581901580",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Flamm:1982:RHE,
author = "David S. Flamm and Robert A. Walker",
title = "Remark on ``{Algorithm} 506: {HQR3} and {EXCHNG}:
{Fortran} Subroutines for Calculating and Ordering the
Eigenvalues of a Real Upper {Hessenberg} Matrix
[{F2}]''",
journal = j-TOMS,
volume = "8",
number = "2",
pages = "219--220",
month = jun,
year = "1982",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355993.356002",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Aug 30 00:28:07 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See \cite{Stewart:1976:AHE}.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{OLeary:1990:BSP,
author = "Dianne P. O'Leary",
title = "On Bounds For Scaled Projections and Pseudo-Inverses",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "132",
pages = "115--117",
year = "1990",
CODEN = "LAAPAW",
DOI = "http://dx.doi.org/10.1016/0024-3795(90)90056-I",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A60 (15A09 65F20)",
MRnumber = "91f:15056",
MRreviewer = "S. Lajos",
bibdate = "Wed Jan 22 17:57:24 MST 1997",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib;
http://www.math.utah.edu/pub/tex/bib/linala1990.bib",
note = "See \cite{Stewart:1989:SPP}.",
abstract = "Let $X$ be a matrix of full column rank, and let $D$
be a positive definite diagonal matrix. In a recent
paper, Stewart considered the weighted pseudoinverse $
X \dagger D = (X T D X)^{-1} X T D$ and the associated
oblique projection $ P D = X X \dagger D$, and gave
bounds, independent of $D$, for the norms of these
matrices. In this note, we answer a question he raised
by showing that the bounds are computable.",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "la, projection, ginv",
}
@Article{Fraser:1995:BRBb,
author = "Craig Fraser",
title = "Book Review: {{\booktitle{Theoria combinationis
observationum erroribus minimis obnoxiae}} [(Latin)
[The theory of the combination of observations least
subject to error]] by Carl Friedrich Gauss; G. W.
Stewart}",
journal = j-ISIS,
volume = "86",
number = "4",
pages = "660--661",
month = dec,
year = "1995",
CODEN = "ISISA4",
ISSN = "0021-1753 (print), 1545-6994 (electronic)",
ISSN-L = "0021-1753",
bibdate = "Tue Jul 30 21:25:03 MDT 2013",
bibsource = "http://www.jstor.org/action/showPublication?journalCode=isis;
http://www.jstor.org/stable/i211225;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/isis1990.bib",
URL = "http://www.jstor.org/stable/235423",
acknowledgement = ack-nhfb,
fjournal = "Isis",
journal-URL = "http://www.jstor.org/page/journal/isis/about.html",
}
@Article{Kincaid:1997:BRA,
author = "David R. Kincaid",
title = "Book Review: {{\booktitle{Afternotes on Numerical
Analysis}}, by G. W. Stewart}",
journal = j-SIAM-REVIEW,
volume = "39",
number = "1",
pages = "153--153",
month = mar,
year = "1997",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Tue May 13 16:55:17 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib;
http://www.siam.org/journals/sirev/sirev391.htm",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Serbin:1997:BRA,
author = "Steven M. Serbin",
title = "Book Reviews: {{\booktitle{Afternotes on numerical
analysis}}, by G. W. Stewart}",
journal = j-MATH-COMPUT,
volume = "66",
number = "219",
pages = "1367--1374",
month = jul,
year = "1997",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Fri Jul 16 10:38:45 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{King:1999:BRA,
author = "J. Thomas King",
title = "Book Reviews: {{\booktitle{Afternotes goes to graduate
school, lectures in advanced numerical analysis}}, by
G. W. Stewart}",
journal = j-MATH-COMPUT,
volume = "68",
number = "226",
pages = "887--891",
month = apr,
year = "1999",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jul 26 12:48:16 1999",
bibsource = "http://www.ams.org/mcom/1999-68-226;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-99-01060-1&u=/mcom/1999-68-226/",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Priest:2004:ESC,
author = "Douglas M. Priest",
title = "Efficient scaling for complex division",
journal = j-TOMS,
volume = "30",
number = "4",
pages = "389--401",
month = dec,
year = "2004",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/1039813.1039814",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Apr 12 06:34:31 MDT 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
abstract = "We develop a simple method for scaling to avoid
overflow and harmful underflow in complex division. The
method guarantees that no overflow will occur unless at
least one component of the quotient must overflow,
otherwise the normwise error in the computed result is
at most a few units in the last place. Moreover, the
scaling requires only four floating point
multiplications and a small amount of integer
arithmetic to compute the scale factor. Thus, on many
modern CPUs, our method is both safer and faster than
Smith's widely used algorithm.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
keywords = "complex division",
}
@InCollection{Duff:2010:BGW,
author = "Iain S. Duff",
title = "Biography of {G. W. Stewart}",
crossref = "Stewart:2010:GWS",
pages = "3--9",
year = "2010",
DOI = "http://dx.doi.org/10.1007/978-0-8176-4968-5_1",
MRclass = "01A70",
MRnumber = "2731850",
bibdate = "Wed Apr 27 09:14:27 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
series = "Contemp. Mathematicians",
acknowledgement = ack-nhfb,
}
%%% ====================================================================
%%% Cross-referenced entries must come last; entries are sorted by year,
%%% and then by citation label, with `bibsort --byyear':
@Proceedings{Dejon:1969:CAF,
editor = "B. Dejon and P. Henrici",
booktitle = "{Constructive Aspects of the Fundamental Theorem of
Algebra (Proceedings of a Symposium, conducted at the
IBM Research Laboratory, Z{\"u}rich-R{\"u}schlikon,
Switzerland, 5--7 June 1967)}",
title = "{Constructive Aspects of the Fundamental Theorem of
Algebra (Proceedings of a Symposium, conducted at the
IBM Research Laboratory, Z{\"u}rich-R{\"u}schlikon,
Switzerland, 5--7 June 1967)}",
publisher = pub-WILEY-INTERSCIENCE,
address = pub-WILEY-INTERSCIENCE:adr,
pages = "vii + 337",
year = "1969",
MRnumber = "00B25",
bibdate = "Thu May 29 16:07:09 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://zbmath.org/?q=an:0175.00104",
ZMnumber = "0175.00104",
acknowledgement = ack-nhfb,
}
@Proceedings{Rosenfeld:1974:IPP,
editor = "Jack L. Rosenfeld",
booktitle = "Information processing, 1974; Proceedings of {IFIP}
Congress 74, Stockholm, Sweden, August 5--10, 1974",
title = "Information processing, 1974; Proceedings of {IFIP}
Congress 74, Stockholm, Sweden, August 5--10, 1974",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xxi + 1106",
year = "1974",
ISBN = "0-444-10689-8, 0-7204-2803-3",
ISBN-13 = "978-0-444-10689-6, 978-0-7204-2803-2",
LCCN = "QA 76 I615",
bibdate = "Mon Jul 18 10:10:46 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
tableofcontents = "Vol. 1. Computer hardware and architecture \\
vol. 2. Software \\
vol. 3. Mathematical aspects of information processing
\\
vol. 4. Technological and scientific applications.
Applications in the social sciences and humanities \\
vol. 5. Systems for management and administration",
}
@Proceedings{Miller:1975:TNA,
editor = "John J. H. Miller",
booktitle = "{Topics in numerical analysis II: proceedings of the
Royal Irish Academy Conference on Numerical Analysis,
1974}",
title = "{Topics in numerical analysis II: proceedings of the
Royal Irish Academy Conference on Numerical Analysis,
1974}",
publisher = "Published for the Royal Irish Academy by Academic
Press",
address = "London, UK",
pages = "xiv + 266",
year = "1975",
ISBN = "0-323-14134-X, 0-12-496952-6 (e-book), 0-323-14134-X
(e-book)",
ISBN-13 = "978-0-323-14134-5, 978-0-12-496952-0 (e-book),
978-0-323-14134-5 (e-book)",
LCCN = "QA297 .R69",
bibdate = "Wed May 28 17:28:41 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/6100019.html;
http://www.sciencedirect.com/science/book/9780124969520",
abstract = "Topics in Numerical Analysis II.",
acknowledgement = ack-nhfb,
subject = "Numerical analysis -- Congresses; Numerical analysis",
tableofcontents = "Preface \\
Names and Addresses of Invited Speakers \\
Titles and Authors of Contributed Papers \\
Names and Addresses of Presenters of Contributed Papers
\\
Table of Contents \\
Chapter 1. On a Discretization of $yn + (Sn(NUBk = 0))$
\\
Section 1 \\
Section 2 \\
Section 3 \\
Section 4 \\
Section 5 \\
References \\
Chapter 2. Some Applications of Approximation Theory to
Numerical Analysis \\
Introduction \\
1. Indirect Continuous Approximation to Solutions of
Linear Functional Equations with Respect to a given Set
of Functions \\
2. Indirect Discrete Approximation to the Solution of a
Functional Equation \\
3. Discrete Approximation to Solutions of Boundary
Value Problems \\
4. Error Estimates for Discretization Methods for Data
with Less Restrictive Structure \\
References \\
Chapter 3. Interior Regularity and Local Convergence of
Galerkin Finite Element Approximations for Elliptic
Equations \\
1. Introduction \\
2. Hypotheses \\
3. Preliminaries \\
4. Interior Regularity and Local Convergence \\
5. Finite Differences \\
References \\
Chapter 4. Numerical Estimates for the Error of
Gauss-Jacobi Quadrature Formulae \\
1. Introduction \\
2. The Numerical Estimation of the Error Term \\
3. On the Error of Pad{\'e} Approximation \\
4. On the Calculation of Elliptic Integrals \\
References \\
Chapter 5. Some Remarks on the Unified Treatment of
Elementary Functions by Microprogramming \\
1. Introduction \\
2. Chen's Algorithms \\
3. General Classification of Known Algorithms \\
4. Perle's Application of CORDIC \\
5. Remark on the Square Root through Hyperbolic CORDIC
\\
References \\
Addenda \\
Chapter 6. Application of Finite Difference Methods to
Exploration Seismology \\
Introduction \\
Formulation of Seismic Exploration Model \\
Finite-Difference Models \\
Grid Dispersion \\
Results \\
Edge Reflections \\
Conclusions \\
References \\
Chapter 7. Variable Coefficient Multistep Methods for
Ordinary Differential Equations applied to Parabolic
Partial Differential Equations \\
1. Semi-discretization \\
2. Variable Coefficient Multistep Methods (VCMM) \\
3. Examples \\
Acknowledgment \\
References \\
Chapter 8. Realistic Estimates for Generic Constants in
Multivariate Pointwise Approximation \\
1. Introduction \\
2. The General Problem of Error Estimation \\
3. Taylor's Formula and Relevant Algebraic Topics \\
4. Sharp Appraisals for Practical Error Coefficients of
Chebyshev Type \\
5. Two Examples of Application \\
References \\
Chapter 9. Matching of Essential Boundary Conditions in
the Finite Element Method \\
1. Introduction \\
2. Blending Function Interpolants \\
3. Transfinite Mappings \\
4. Isoparametric Elements \\
5. Direct Methods \\
References \\
Chapter 10. Collocation, Difference Equations, and
Stitched Function Representations \\
Abstract \\
1. Introduction \\
2. Collocation by Piecewise Smooth Functions \\
3. An $m$th Order Difference Approximation \\
4. A Class of Intermediate Schemes \\
References \\
Chapter 11. A New Approach to Matrix Theory or Many
Facets of the Matrix Decomposition Theorem",
}
@Proceedings{Bunch:1976:SMC,
editor = "James R. Bunch and Donald J. Rose",
booktitle = "{Sparse Matrix Computations: Proceedings of the
Symposium on Sparse Matrix Computations at Argonne
National Laboratory on September 9--11, 1975}",
title = "{Sparse Matrix Computations: Proceedings of the
Symposium on Sparse Matrix Computations at Argonne
National Laboratory on September 9--11, 1975}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xi + 453",
year = "1976",
ISBN = "0-12-141050-1",
ISBN-13 = "978-0-12-141050-6",
LCCN = "QA188 .S989 1975",
bibdate = "Sat Oct 22 18:13:05 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
tableofcontents = "Contributors / / ix \\
Preface / / xi \\
I. Design and Analysis of Elimination Algorithms / / 1
\\
1. Graph Theory and Gaussian Elimination / Robert Endre
Tarjan / 3 \\
2. Partitioning Using PAQ / Thomas D. Howell / 23 \\
3. Block Methods for Solving Sparse Linear Systems /
James R. Bunch / 39 \\
4. A Recursive Analysis of Dissection Strategies /
Donald J. Rose and Gregory F. Whitten / 59 \\
5. Applications of an Element Model for Gaussian
Elimination / S. C. Eisenstat, M. H. Schultz, and 4. H.
Sherman / 85 \\
6. An Optimization Problem Arising from Tearing Methods
/ Alberto Sangiovanni-Vincentelli / 97 \\
II. Eigenvalue Problems / / 111 \\
1. A Bibliographical Tour of the Large, Sparse
Generalized Eigenvalue Problem / G. W. Stewart / 113
\\
2. How Far Should You Go With the Lanczos Process? / W.
Kahan and B. N. Parlett / 131 \\
III. Optimization, Least Squares and Linear Programming
/ / 145 \\
1. Optimization for Sparse Systems / T. L. Magnanti /
147 \\
2. Methods for Sparse Linear Least Squares Problems /
{AA}ke Bj{\"o}rck / 177 \\
3. The Orthogonal Factorization of a Large Sparse
Matrix / Philip E. Gill and Walter Murray / 201 \\
4. A Fast, Stable Implementation of the Simplex Method
Using Bartels-Golub Updating / Michael A. Saunders /
213 \\
5. Using the Steepest-edge Simplex Algorithm to Solve
Sparse Linear Programs / D. Goldfarb / 227 \\
IV. Mathematical Software / / 241 \\
1. Sparse Matrix Software / W. Morven Gentleman and
Alan George / 243 \\
2. Considerations in the Design of Software for Sparse
Gaussian Elimination / S. C. Eisenstat, M. H. Schultz,
and A. H. Sherman / 263 \\
3. Finding the Block Lower Triangular Form of a Sparse
Matrix / Fred Gustavson / 275 \\
V. Matrix Methods for Partial Difference Equations / /
291 \\
1. Marching Algorithms and Block Gaussian Elimination /
Randolph E. Bank / 293 \\
2. A Generalized Conjugate Gradient Method for the
Numerical Solution of Elliptic Partial Differential
Equations / Paul Concus, Gene H. Golub, and Dianne P.
O'Leary / 309 \\
3. Preconditioned Conjugate Gradient Iteration Applied
to Galerkin Methods for a Mildly-Nonlinear Dirichlet
Problem / Jim Douglas, Jr. and Todd Dupont / 333 \\
4. The Sparse Tableau Approach to Finite Element
Assembly / Gary Hachtel / 349 \\
5. A Capacitance Matrix Technique / B. L. Buzbee / 365
\\
6. M-Matrix Theory and Recent Results in Numerical
Linear Algebra / Richard S. Varga / 375 \\
VI. Applications / / 389 \\
1. Sparse Matrix Problems in a Finite Element Open
Ocean Model / Joel E. Hirsh and William L. Briggs / 391
\\
2. Calculation of Normal Modes of Oceans Using a
Lanczos Method / Alan K. Cline, Gene H. Golub, and
George W. Platzman / 409 \\
3. Application of Sparse Matrix Techniques to Reservoir
Simulation / P. T. Woo, S. C. Eisenstat, M. H. Schultz,
and A. H. Sherman / 427 \\
4. On the Origins and Numerical Solution of Some Sparse
Nonlinear Systems / T. A. Porsching / 439",
}
@Proceedings{Hoaglin:1976:CSS,
editor = "David C. (David Caster) Hoaglin and Roy E. (Roy Elmer)
Welsch",
booktitle = "{Proceedings of the Ninth Interface Symposium on
Computer Science and Statistics / Harvard University,
Massachusetts Institute of Technology, April 1--2,
1976}",
title = "{Proceedings of the Ninth Interface Symposium on
Computer Science and Statistics / Harvard University,
Massachusetts Institute of Technology, April 1--2,
1976}",
publisher = "Prindle, Weber and Schmidt, Inc.",
address = "Boston, MA, USA",
pages = "x + 323",
year = "1976",
ISBN = "0-87150-237-2",
ISBN-13 = "978-0-87150-237-7",
LCCN = "QA276 C73 1976",
bibdate = "Thu May 29 16:21:16 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
subject = "Proceedings.; Statistical Methods/ Probability.;
Computer Programming.",
}
@Book{Rice:1977:MSS,
editor = "John R. (John Rischard) Rice",
booktitle = "{Mathematical Software Symposium, University of
Wisconsin, Madison, 1977. Mathematical Software III:
Proceedings of a Symposium Conducted by the Mathematics
Research Center, the University of Wisconsin, Madison,
March 28--30, 1977}",
title = "{Mathematical Software Symposium, University of
Wisconsin, Madison, 1977. Mathematical Software III:
Proceedings of a Symposium Conducted by the Mathematics
Research Center, the University of Wisconsin, Madison,
March 28--30, 1977}",
number = "39",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "ix + 388",
year = "1977",
ISBN = "0-12-587260-7 (hardcover)",
ISBN-13 = "978-0-12-587260-7 (hardcover)",
LCCN = "QA3 .U45 no. 39; QA297 .M36 1977",
MRnumber = "68-03 01-06 68Nxx",
bibdate = "Sat Oct 22 18:23:16 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
series = "Publication of the Mathematics Research Center, the
University of Wisconsin, Madison",
URL = "http://zbmath.org/?q=an:0234.68003",
ZMnumber = "0234.68003",
acknowledgement = ack-nhfb,
}
@Proceedings{deBoor:1978:SRA,
editor = "Carl de Boor and Gene H. Golub",
booktitle = "{Symposium on Recent Advances in Numerical Analysis
(1978: Madison, Wis.). Recent Advances in Numerical
Analysis: Proceedings of a Symposium Conducted by the
Mathematics Research Center, the University of
Wisconsin, Madison, May 22--24, 1978}",
title = "{Symposium on Recent Advances in Numerical Analysis
(1978: Madison, Wis.). Recent Advances in Numerical
Analysis: Proceedings of a Symposium Conducted by the
Mathematics Research Center, the University of
Wisconsin, Madison, May 22--24, 1978}",
volume = "41",
organization = "Army Mathematics Research Center",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "ix + 270",
year = "1978",
ISBN = "0-12-208360-1",
ISBN-13 = "978-0-12-208360-0",
LCCN = "QA3 .U45 no. 41; QA297 S994 1978",
MRclass = "65-06",
MRnumber = "80a:65016",
bibdate = "Sat Apr 16 17:44:41 2005",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
series = "Publication of the Mathematics Research Center, the
University of Wisconsin, Madison",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/65991765.html;
http://www.gbv.de/dms/hbz/toc/ht001227727.pdf",
acknowledgement = ack-nhfb,
keywords = "na; numerical analysis --- congresses; proceedings",
remark = "See review in Mathematics of Computation, Vol. 38, No.
158 (Apr., 1982), p. 654.",
tableofcontents = "Contributors / / vii \\
Preface / / ix \\
Positive Functions and Some Applications to Stability
Questions for Numerical Methods / Germund Dahlquist / 1
\\
Constructive Polynomial Approximation in Sobolev Spaces
/ Todd Dupont and Ridgway Scott / 31 \\
Questions of Numerical Condition Related to Polynomials
/ Walter Gautschi / 45 \\
Global Homotopies and Newton Methods / Herbert B.
Keller / 73 \\
Problems with Different Time Scales / Heinz-Otto Kreiss
/ 95 \\
Accuracy and Resolution in the Computation of Solutions
of Linear and Nonlinear Equations / Peter D. Lax / 107
\\
Finite Element Approximations to the One- Dimensional
Stefan Problem / J. A. Nitsche / 119 \\
The Hodie Method and Its Performance for Solving
Elliptic Partial Differential Equations / Robert E.
Lynch and John R. Rice / 143 \\
Solving ODE's with Discrete Data in SPEAKEASY / L. F.
Shampine / 177 \\
Perturbation Theory for the Generalized Eigenvalue
Problem / G. W. Stewart / 193 \\
Some Remarks on Good, Simple, and Optimal Quadrature
Formulas / H. F. Weinberger / 207 \\
Linear Differential Equations and Kronecker's Canonical
Form / J. H. Wilkinson / 231 \\
Index / / 267",
}
@Proceedings{Duff:1979:SMP,
editor = "Iain S. Duff and G. W. Stewart",
booktitle = "{Sparse Matrix. Proceedings 1978: Symposium held in
the Hyatt Regency, Knoxville, Tennessee on November
2--3, 1978}",
title = "{Sparse Matrix. Proceedings 1978: Symposium held in
the Hyatt Regency, Knoxville, Tennessee on November
2--3, 1978}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xvi + 334",
year = "1979",
ISBN = "0-89871-160-6",
ISBN-13 = "978-0-89871-160-8",
LCCN = "QA188 S9 1978",
MRclass = "65-06",
MRnumber = "81f:65003",
bibdate = "Wed Jan 17 09:24:26 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
URL = "http://www.gbv.de/dms/hbz/toc/ht000381636.pdf",
acknowledgement = ack-nhfb,
GWS-number = "N11",
tableofcontents = "Introduction / vii \\
Solution of Sparse Stiffness Matrices for Structural
Systems / Edward L. Wilson / 1 \\
Linear Programming Problems Arising from Partial
Differential Equations / Dianne P. O'Leary / 25 \\
Shifted Incomplete Cholesky Factorization / Thomas A.
Manteuffel / 41 \\
Algorithmic Aspects of the Multi-Level Solution of
Finite Element Equations / Randolph E. Bank and A. H.
Sherman / 62 \\
LASCALA --- A Language for Large Scale Linear Algebra /
A. W. Westerberg and T. J. Berna / 90 \\
Practical Comparisons of Codes for the Solution of
Sparse Linear Systems / Iain S. Duff / 107 \\
Software for Sparse Gaussian Elimination with Limited
Core Storage / S. C. Eisenstat, M. H. Schultz, and A.
H. Sherman / 135 \\
A Quotient Graph Model for Symmetric Factorization /
Alan George and Joseph W. H. Liu / 154 \\
The Use of Sparse Matrices for Image Reconstruction
from Projections / Gabor T. Herman / 176 \\
Row-Generation Methods for Feasibility and Optimization
Problems Involving Sparse Matrices and Their
Applications \\
Yair Censor and Gabor T. Herman / 197 \\
Lanczos and the Computation in Specified Intervals of
the Spectrum of Large, Sparse Real Symmetric Matrices
\\
Jane Cullum and Ralph A. Willoughby / 220 \\
Systolic Arrays (for VLSI) / H. T. Kung and Charles E.
Leiserson / 256 \\
A Basis Factorization Method for Block Triangular
Linear Programs / Andre F. Perold and George B. Dantzig
/ 283 \\
On Combining the Schemes of Reid and Saunders for
Sparse LP Bases / David M. Gay / 313",
}
@Proceedings{Kaagstrom:1983:MPP,
editor = "Bo K{\aa}gstr{\"o}m and Axel Ruhe",
booktitle = "{Matrix Pencils: Proceedings of a Conference Held at
Pite Havsbad, Sweden, March 22--24, 1982}",
title = "{Matrix Pencils: Proceedings of a Conference Held at
Pite Havsbad, Sweden, March 22--24, 1982}",
volume = "973",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 293",
year = "1983",
CODEN = "LNMAA2",
DOI = "http://dx.doi.org/10.1007/BFb0062089",
ISBN = "0-387-11983-3, 3-540-11983-3 (print), 3-540-39447-8
(e-book)",
ISBN-13 = "978-0-387-11983-0, 978-3-540-11983-8 (print),
978-3-540-39447-1 (e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3 .L28 no. 973",
bibdate = "Tue May 6 14:53:45 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/lnm1980.bib;
z3950.loc.gov:7090/Voyager",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0062089;
http://www.springerlink.com/content/978-3-540-39447-1",
acknowledgement = ack-nhfb,
series-URL = "http://link.springer.com/bookseries/304",
subject = "Eigenvalues; Congresses; Matrix pencils; Numerical
analysis",
tableofcontents = "A. General $(A-A B)$-Pencils \\
\\
A.1 Canonical Reductions --- Theory and Algorithms \\
\\
J. Demmel / The condition number of equivalence
transformations that block diagonalize matrix pencils /
2 \\
V. N. Kublanovskaya / An approach to solving the
spectral problem of $A - A B$ / 17 \\
B. Kagstr{\"o}m / On computing the Kronecker canonical
form of regular $(A - A B)$-pencils / 30 \\
P. Van Dooren / Reducing subspaces --- definitions,
properties, and algorithms / 58 \\
\\
A.2 Aspects from Differential Equations / / 74 \\
\\
C. W. Gear, L. R. Petzold / Differential/algebraic
systems and matrix pencils / 75 \\
K-M. Liu, E. L. Ortiz / Approximation of eigenvalues
defined by ordinary differential equations with the Tau
method / 90 \\
\\
A.3 Algorithms for Large Sparse Unsymmetric $(A - A
I)$-Problems / 103 \\
\\
A. Ruhe / The two-sided Arnoldi algorithm for
nonsymmetric eigenvalue problems / 104 \\
Y. Saad / Projection methods for solving large sparse
eigenvalue problems / 121 \\
\\
B. Symmetric $(A - A B)$-Pencils and Applications / /
145 \\
\\
L. Aasland, P. Bj{\o}rstad / The generalized eigenvalue
problem in ship design and offshore industry --- a
comparison of traditional methods with the Lanczos
process / 146 \\
E. G. Carnoy, M. Geradin / On the practical use of the
Lanczos algorithm in finite element applications to
vibration and bifurcation problems / 156 \\
T. Ericsson / Implementation and applications of the
spectral transformation Lanczos algorithm / 177 \\
D. J. Evans / Preconditioned iterative methods for the
generalized eigenvalue problem / 189 \\
A. Jennings / On bounds for symmetric eigenvalue
problems / 195 \\
\\
C. Generalized Singular Values and Data Analysis / /
206 \\
\\
G. W. Stewart / A method for computing the generalized
singular value decomposition / 207 \\
J-G. Sun / Perturbation analysis for the generalized
eigenvalue and the generalized singular value problem /
221 \\
C. Van Loan / A generalized SVD analysis of some
weighting methods for equality constrained least
squares / 245 \\
P-{\AA}. Wedin / On angles between subspaces / 263 \\
S. Wold, H. Martens, H. Wold / The multivariate
calibration problem in chemistry solved by the PLS
method / 286",
}
@Book{Cowell:1984:SDM,
editor = "Wayne R. Cowell",
booktitle = "Sources and Development of Mathematical Software",
title = "Sources and Development of Mathematical Software",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xii + 404",
year = "1984",
ISBN = "0-13-823501-5",
ISBN-13 = "978-0-13-823501-7",
LCCN = "QA76.95 .S68 1984",
bibdate = "Tue Dec 14 22:44:45 1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/fortran2.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
series = "Prentice-Hall Series in Computational Mathematics,
Cleve Moler, Advisor",
acknowledgement = ack-nhfb,
tableofcontents = "Observations on the mathematical software effort /
W. J. Cody \\
LINPACK: A package for solving linear systems / J. J.
Dongarra and G. W. Stewart \\
FUNPACK: A package of special function routines / W. J.
Cody \\
EISPACK: A package for solving matrix eigenvalue
problems / J. J. Dongarra and C. B. Moler \\
The MINPACK project / J. More, D. Sorensen, B. Garbow,
and K. Hillstrom \\
Software for ordinary differential equations / L. F.
Shampine and H. A. Watts \\
Sources of information on quadrature software / D.
Kahaner \\
A survey of sparse matrix software / Iain S. Duff \\
Mathematical software for elliptic boundary value
problems \\
Ronald F. Boisvert and Roland A. Sweet \\
The IMSL Library / Thomas J. Aird \\
The SLATEC common mathematical library / Bill L. Buzbee
\\
The Boeing mathematical software library / A. H.
Erisman, K. W. Neves, and I. R. Philips \\
The PORT mathematical subroutine Library / Phyllis Fox
\\
The evolving NAG library service / Brian Ford and James
C. T. Pool",
}
@Proceedings{Iazeolla:1984:MCP,
editor = "Giuseppe Iazeolla and Pierre Jacques Courtois and A.
Hordijk",
booktitle = "{Mathematical computer performance and reliability:
proceedings of the International workshop: Pisa, Italy,
September 26--30, 1983}",
title = "{Mathematical computer performance and reliability:
proceedings of the International workshop: Pisa, Italy,
September 26--30, 1983}",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "x + 429",
year = "1984",
ISBN = "0-444-86892-5",
ISBN-13 = "978-0-444-86892-3",
LCCN = "QA76.9.E94 M37 1984",
bibdate = "Thu May 29 16:27:23 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/10505592.html;
http://www.dandelon.com/servlet/download/attachments/dandelon/ids/DE004D409A71E004A5EA4C12579DE00471484.pdf",
acknowledgement = ack-nhfb,
subject = "Matematica applicata - Congressi - 1983; Elaborazione
elettronica dei dati - Modelli matematici- Congressi -
1983; Congressi - Pisa - 1983",
tableofcontents = "Part I: Queueing System Models \\
\\
1.1. Decomposability in General Markovian Networks / S.
Balsamo (University of Pisa, Dipartimento di
Informatica, Italy) / 3 \\
\\
1.2. On the Analysis of Two-Dimensional Queueing
Problems / J. W. Cohen (University of Utrecht,
Mathematical Institute, The Netherlands) / 17 \\
\\
1.3. Diffusion Approximations for
Computer/Communications Systems / E. G. Coffman and M.
I. Reiman (Bell Labs, Murray Hill, USA) / 33 \\
\\
1.4. On Functional Equations for One or Two Complex
Variables Arising in the Analysis of Stochastic Models
/ \\
G. Fayolle (INRIA, Rocquencourt, France) / 55 \\
\\
1.5. Insensitivity for Stochastic Networks / A. Hordijk
(University of Leiden, Dept. of Mathematics and
Computer Science, The Netherlands) / 77 \\
\\
1.6. Aggregation and Disaggregation in Queueing
Networks: The Principle of Product-Form Synthesis / S.
Balsamo and G. Iazeolla (University of Pisa,
Dipartimento di Informatica, Italy) / 95 \\
\\
1.7. The Dependence of Sojourn Times in Closed Queueing
Networks / F.P. Kelly (University of Cambridge,
Statistical Laboratory, England) / 111 \\
\\
1.8. On the Existence and Uniqueness of the Homogeneous
Network / R. Marie and G. Rubino (IRISA/INRIA, Rennes,
France) / 123 \\
\\
1.9. Problems of Reducibility in Structured Markov
Chains of M/G/l Type and Related Queueing Models in
Communication Engineering / M. F. Neuts (University of
Delaware, Dept. of Mathematics, USA) / 139 \\
\\
1.10. Weak D-Markov Chain and its Application to a
Queueing Network / Y. Takahashi (University of Tohoku,
Dept. of Economics, Japan) / 153 \\
\\
1.11. A Renewal Approximation for the Generalized
Switched Poisson Process / P. Tran-Gia (University of
Stuttgart, Inst. of Switching and Data Technics, W.
Germany) / 167 \\
\\
1.12. Multi-Armed Bandit Problems and Resource Sharing
Systems / P. Varaiya and J. Walrand (University of
California, Berkeley, Dept. of Computer Sciences, USA)
/ 181 \\
\\
Part II: Approximation Techniques \\
\\
2.1. Iterative Aggregation/Disaggregation Methods / F.
Chatelin (University of Grenoble, Lab. IMAG, France). .
/ 199 \\
\\
2.2. Error Bounds for the Analysis by Decomposition of
Non-Negative Matrices / P. J. Courtois and P. Semal
(Philips Research, Brussels, Belgium) / 209 \\
\\
2.3. A Perspective on Iterative Methods for the
Approximate Analysis of Closed Queueing Networks / E.
de Souza e Silva, S. S. Lavenberg and R. R. Muntz
(Computer Science Department, UCLA, Los Angeles, USA)
(IBM Research Center, Yorktown Heights, USA) / 225 \\
2.4. Fixed-Point Approximations for Distributed Systems
/ I. Mitrani (University of Newcastle upon Tyne,
Computing Lab., England) / 245 \\
\\
2.5. An Aggregation Principle for Computing Invariant
Probability Vectors for Semi-Markovian Models / R.
Schassberger (Technical University of Berlin, Dept. of
Mathematics, W. Germany) / 259 \\
\\
2.6. Aggregation Methods for Large Markov Chains / P.
J. Schweitzer (University of Rochester, Graduate School
of Management, USA) / 275 \\
\\
2.7. On the Structure of Nearly Uncoupled Markov Chains
/ G. W. Stewart (University of Maryland, Dept. of
Computer Science, USA) / 287 \\
\\
2.8. A Bound Problem in the Modeling of Computer
Systems and Queueing Networks / C. P. Tan (University
of Malaya, and Columbia University, Dept. of \\
Mathematical Statistics, USA) / 303 \\
\\
Part III: Performance and Reliability Models \\
\\
3.1. Performance Analysis of the
Checkpoint-Rollback-Recovery System via Diffusion
Approximation / A. Duda (University of Paris-Sud, ISEM,
France) / 315 \\
\\
3.2. Modelling the Execution of Block Structured
Processes with Hardware and Software Failures / E.
Gelenbe* and I. Mitrani** (* University of Paris-Sud,
ISEM, France) (** University of Newcastle upon Tyne,
Computing Lab., England) / 329 \\
\\
3.3. Trustable Evaluation of Computer Systems
Dependability / J.-C. Laprie (LAAS, CNRS, France) / 341
\\
\\
3.4. Performability Modeling of Distributed Real-Time
Systems / J. F. Meyer (University of Michigan,
Computing Research Lab., USA) / 361 \\
\\
3.5. Some Results on Database Locking: Solutions,
Computational Algorithms and Asymptotics / D. Mitra and
P. J. Weinberger (Bell Labs, Murray Hill, USA) / 373
\\
\\
3.6. A Golden Ratio Control Policy for a Communication
Channel / A. Itai and Z. Rosberg (Technion, Computer
Science Department, Israel) / 387 \\
\\
3.7. Reliability Evaluation for Fault-Tolerant Systems
/ K. S. Trivedi (Duke University, Dept. of Computer
Science, USA) / 403 \\
\\
Part IV: State of the Art and Future Directions \\
\\
Panel Discussion / / 417 \\
\\
Author Index / / 429",
}
@Proceedings{Allen:1986:CSS,
editor = "David M. Allen",
booktitle = "{Computer science and statistics: Proceedings of the
Seventeenth Symposium on the Interface of Computer
Sciences and Statistics, Radisson Plaza Hotel,
Lexington, Kentucky, March 17--19, 1985}",
title = "{Computer science and statistics: Proceedings of the
Seventeenth Symposium on the Interface of Computer
Sciences and Statistics, Radisson Plaza Hotel,
Lexington, Kentucky, March 17--19, 1985}",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xi + 342",
year = "1986",
ISBN = "0-444-70018-8 (paperback)",
ISBN-13 = "978-0-444-70018-6 (paperback)",
LCCN = "QA276.4 .S95 1985",
MRclass = "62-06 (Proceedings of conferences (statistics)); 65C99
(Probabilistic methods, simulation and stochastic
differential equations (numerical analysis)); 62-07
(Data analysis (statistics))",
bibdate = "Thu May 29 16:50:58 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/bmdp.bib;
http://www.math.utah.edu/pub/tex/bib/s-plus.bib;
http://www.math.utah.edu/pub/tex/bib/sas.bib;
http://www.math.utah.edu/pub/tex/bib/spss.bib",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/13455449.html;
http://www.dtic.mil/dtic/tr/fulltext/u2/a166019.pdf;
http://zbmath.org/?q=an:0647.62008",
ZMnumber = "0647.62008",
acknowledgement = ack-nhfb,
meetingname = "Symposium on the Interface (17o. 1985. Lexington)",
subject = "Mathematical statistics; Data processing; Congresses;
calcul statistique; informatique statistique;
syst{\`e}me interactif; langage statistique;
m{\'e}thode num{\'e}rique; enseignement informatique;
statistique; logiciel math{\'e}matique; poste travail;
logiciel statistique; mod{\`e}le non lin{\'e}aire;
statistique math{\'e}matique; analyse donn{\'e}e;
infographie; intelligence artificielle; Informatique;
Congr{\`e}s; Datenverarbeitung.; Statistik.; Kongress;
Estad{\'i}stica matem{\'a}tica; Inform{\'a}tica;
Congresos",
}
@Proceedings{Boardman:1986:CSS,
editor = "Thomas J. Boardman and Irene M. Stefanski",
booktitle = "{Computer science and statistics. Proceedings of the
18th Symposium on the Interface, Fort Collins,
Colorado, March 1986}",
title = "{Computer science and statistics. Proceedings of the
18th Symposium on the Interface, Fort Collins,
Colorado, March 1986}",
publisher = "American Statistical Association",
address = "Washington, DC, USA",
pages = "xiii + 466",
year = "1986",
LCCN = "QA 276.4 S95 1986; TL695 N67 1992",
MRnumber = "62-06 68-06 68U99 65C99",
bibdate = "Thu May 29 17:03:56 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://zbmath.org/?q=an:0638.62003",
ZMnumber = "0638.62003",
acknowledgement = ack-nhfb,
xxISBN = "0-8186-0698-3",
xxISBN = "92-835-0689-8",
xxISBN-13 = "978-0-8186-0698-4",
xxISBN-13 = "978-92-835-0689-8",
xxnote = "Find correct ISBN: library catalogs have bad
values??",
}
@Proceedings{George:1986:PCS,
editor = "Alan George and G. W. (Gilbert W.) Stewart and Robert
G. Voigt",
booktitle = "Parallel computing: special volume",
title = "Parallel computing: special volume",
volume = "77",
publisher = pub-ESP,
address = pub-ESP:adr,
pages = "357",
month = may,
year = "1986",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
LCCN = "QA184 L75 v. 77",
bibdate = "Fri Jan 24 06:44:39 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
series = j-LINEAR-ALGEBRA-APPL,
acknowledgement = ack-nhfb,
keywords = "Algebras, Linear.; Parallel processing (Electronic
computers)",
}
@Proceedings{Iserles:1987:SAN,
editor = "A. Iserles and M. J. D. Powell",
booktitle = "{State of the Art in Numerical Analysis. Proceedings
of the Joint IMA\slash SIAM Conference held at the
University of Birmingham, 14--18 April 1986}",
title = "{State of the Art in Numerical Analysis. Proceedings
of the Joint IMA\slash SIAM Conference held at the
University of Birmingham, 14--18 April 1986}",
volume = "9",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "x + 719",
year = "1987",
ISBN = "0-19-853614-3",
ISBN-13 = "978-0-19-853614-7",
LCCN = "QA297.J65 1986",
bibdate = "Mon Sep 9 14:56:14 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
http://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
series = "The Institute of Mathematics and Its Applications
conference series; new series",
URL = "http://www.gbv.de/dms/hbz/toc/ht002967923.pdf;
http://zbmath.org/?q=an:0611.00024",
ZMnumber = "0611.00024",
acknowledgement = ack-nhfb,
confdate = "14--18 April 1986",
conflocation = "Birmingham, UK",
confsponsor = "Inst. Math. Appl.; SIAM",
pubcountry = "UK",
tableofcontents = "Contributors / / xiii \\
1. Eigenvalue problems / J. H. Wilkinson / 1 \\
2. Numerical linear algebra in statistical computing /
N. J. Higham and G. W. Stewart / 41 \\
3. Sparse matrices / J. K. Reid / 59 \\
4. Multivariate approximation / Carl de Boor / 87 \\
5. Data approximation by splines in one and two
independent variables / M. G. Cox / 111 \\
6. Methods for best approximation and regression
problems / G. A. Watson / 139 \\
7. Branch cuts for complex elementary functions / W.
Kahan / 165 \\
8. Recent developments in linear and quadratic
programming / R. Fletcher / 213 \\
9. Solving systems of nonlinear equations by tensor
methods / R. B. Schnabel and P. D. Frank / 245 \\
10. Numerical methods for bifurcation problems / A. D.
Jepson and A. Spence / 273 \\
11. On the iterative solution of differential and
integral equations using secant updating techniques /
A. Griewank / 299 \\
12. Methods for nonlinear constraints in optimization
calculations / M. J. D. Powell / 325 \\
13. The influence of vector and parallel processors on
numerical analysis / I. S. Duff / 359 \\
14. Developments in stability theory for ordinary
differential equations / J. D. Lambert / 409 \\
15. Stiff ODE initial value problems and their solution
/ A. R. Curtis / 433 \\
16. Order stars and stability / G. Wanner / 451 \\
17. The state of the art in the numerical treatment of
integral equations / C. T. H. Baker / 473 \\
18. Strongly elliptic boundary integral equations / W.
L. Wendland / 511 \\
19. Collocation methods for one-dimensional Fredholm
and Volterra integral equations / H. Brunner / 563 \\
20. Numerical methods for free and moving boundary
problems / C. W. Cryer / 601 \\
21. Multigrid methods for elliptic equations / J. Walsh
/ 623 \\
22. Galerkin finite element methods and their
generalizations / K. W. Morton / 645 \\
23. Recent developments in the numerical solution of
nonlinear conservation laws / S. Osher and P. K. Sweby
/ 681 \\
Index / 701",
}
@Proceedings{Edwards:1988:CPC,
editor = "D. (David) Edwards and N. E. (Niels E.) Raun",
booktitle = "{COMPSTAT: proceedings in computational statistics,
8th symposium held in Copenhagen 1988}",
title = "{COMPSTAT: proceedings in computational statistics,
8th symposium held in Copenhagen 1988}",
publisher = pub-PHYSICA-VERLAG,
address = pub-PHYSICA-VERLAG:adr,
pages = "xiv + 451",
year = "1988",
ISBN = "3-7908-0411-8",
ISBN-13 = "978-3-7908-0411-9",
LCCN = "QA276.4 .C57 1988",
bibdate = "Tue Jan 10 12:37:12 MST 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/19564603.html;
http://zbmath.org/?q=an:0732.00016",
ZMnumber = "0732.00016",
acknowledgement = ack-nhfb,
bookpages = "xiv + 451",
remark = "Papers presented at COMPSTAT 1988, the 8th biannual
Symposium in Computational Statistics held under the
auspices of the International Association for
Statistical Computing.",
subject = "Statistics; Data processing; Congresses; Mathematical
statistics",
tableofcontents = "Keynote Papers \\
\\
Parallel Linear Algebra in Statistical Computations /
G. W. Stewart / 3 \\
Three Examples of Computer-Intensive Statistical
Inference / B. Efron. (See section `Late Arrivals' pp.
423--431) / \\
\\
Non-Parametric Estimation \\
\\
Efficient Nonparametric Smoothing in High Dimensions
Using Interactive Graphical Techniques / W. H{\"a}rdle.
(Invited paper) / 17 \\
A Boundary Modification of Kernel Function Smoothing,
with Application to Insulin Absorption Kinetics. / P.
Hougaard / 31 \\
A Roughness Penalty Regression Approach for Statistical
Graphics / M. G. Schimek / 37 \\
\\
Projection Pursuit \\
Detecting Structures by Means of Projection Pursuit /
7.5. Yenyukov. (Invited paper) / 47 \\
Confidence Regions for Projection Pursuit Density
Estimates / E. Elguero and S. Holmes-Junca / 59 \\
A Robustness Property of the Projection Pursuit Methods
in Sampling from Separably Dependent Random Vectors /
B. Baldessari and F. Gallo / 65 \\
\\
Graphical Techniques \\
Graphical Modelling with Large Numbers of Variables: An
Application of Principal Components / J. Whittaker, A.
Iliakopoulos, and P. W. F. Smith / 73 \\
Some Graphical Displays for Square Tables / A. de
Falguerolles and J. R. Mathieu / 81 \\
Data Plotting Methods for Checking Multivariate
Normality and Related Ideas / T. Isogai / 87 \\
Computer-aided Illustration of Regression Diagnostics /
T. Nummi. M. Nurhonen, and S. Puntanen / 93 \\
Computer Guided Diagnostics / D. A. Belsley, A.
Venetoulias, and R. E. Welsch / 99 \\
\\
Expert Systems \\
How should the Statistical Expert System and its User
see Each Other? / J. A. Nelder. (Invited paper) / 107
\\
Towards a Probabilistic Analysis of MYCIN-like Expert
Systems / P. H{\'a}jek / 117 \\
An Expert System Accepting Knowledge in a form of
Statistical Data / R. Jirou{\v{s}}ek and O.
K{\v{r}}i{\v{z}} / 123 \\
Building a Statistical Expert System with Knowledge
Bases of Different Levels of Abstraction / KM.
Wittkowski / 129 \\
An Expert System for the Interpretation of Results of
Canonical Covariance Analysis / K. Momirovi{\'c}, J.
Radakovi{\'c}, and V. Dobri{\'c} / 135 \\
Building a Statistical Knowledge Base: A Discussion of
the Approach used in the Development of THESEUS, a
Statistical Expert System / E. Bell and P. Watts / 143
\\
PRINCE: An Expert System for Nonlinear Principal
Components Analysis / I. J. Duijsens, T. J. Duijkers,
and G. M. van den Berg / 149 \\
Expert Systems for Non-Linear Modelling: Progress and
Prospects / G. J. S. Ross / 155 \\
Inside a Statistical Expert System: Statistical Methods
Employed in the ESTES System / P. Hietala / 163 \\
An Implementation of an EDA Expert System in Prolog
Environment / P. Jirk{\r{u}} / 169 \\
Automatic Acquisition of Knowledge Base from Data
without Expert: ESOD (Expert System from Observational
Data) / J. Iv{\'a}nek and B. Stejskal / 175 \\
Experiments with Probabilistic Consultation Systems /
S. Nordbotten / 181 \\
Statistical Consultants and Statistical Expert Systems
/ I. W. Molenaar / 187 \\
On Inference Process / T. Westerhoff and P. Naeve / 193
\\
Identification Keys, Diagnostic Tables and Expert
Systems / R. W. Payne / 199 \\
\\
Languages and Packages \\
Adding new Statistical Techniques to Standard Software
Systems: A Review / C. Payne, N. Cleave, and P. Brown
'. / 207 \\
FUNIGIRLS: A Prototype Functional Programming Language
for the Analysis of Generalized Linear Models / R.
Gilchrist and A. Scallan / 213 \\
BLINWDR: An APL-function Library for Interactively
Solving the Problem of Robust and Bounded Influence
Regression / R. Dutter / 219 \\
\\
Computational Intensive Methods \\
Exact Non-Parametric Significance Tests / C. R. Mehta,
N. R. Patel and P. Senchaudhuri / 227 \\
Resampling Tests of Statistical Hypotheses / A. Young /
233 \\
Clustering Based on Neural Network Processing / H.-M.
Adorf and F. Murtagh / 239 \\
Decision Tree Classifier for Speech Recognition / A. M.
Morin / 245 \\
\\
Algorithms \\
Efficient Sampling Algorithms and Balanced Samples / J.
C. Deville, J. M. Grosbas, and N. Roth (Invited paper)
/ 255 \\
Recursive Partition in Biostatistics: Stability of
Trees and Choice of the Most Stable Classification / A.
Ciampi and J. Thiffault / 267 \\
Generating Rules by Means of Regression Analysis / C.
Berzuini / 273 \\
A New Algorithm for Matched Case-Control Studies with
Applications to Additive Models / T. Hastie and D.
Pregibon / 279 \\
An Algorithm for the Approximation of N-Dimensional
Distributions / J. Gordesch / 285 \\
Further Recursive Algorithms for Multidimensional Table
Computation / B. P. Murphy and G. Bartlett / 291 \\
\\
Statistical Methods \\
Nonlinear Regression: Methodological and Software
Aspects / A. Mess{\'e}an. (Invited paper) / 299 \\
Comparing Sensitivity of Models to Missing Data in the
GMANOVA / E. P. Liski and T. Nummi / 311 \\
A Modelling Approach to Multiple Correspondence
Analysis / M. Green / 317 \\
Multidimensional Scaling on the Sphere / M. A. A. Cox
and T. F. Cox / 323 \\
A Monte Carlo Evaluation of the Methods for Estimating
the Parameters of the Generalized Lambda Distribution /
M. C. Okur / 329 \\
Statistical Guidance for Model Modification in
Covariance Structure Analysis / T. C. Luijben and A.
Boomsma / 335 \\
Similarities Functions / G.le Calv{\'e}s / 341 \\
Robust Bayesian Regression Analysis with HPD-Regions /
K. Felsenstein and K. Potzelberger / 349 \\
\\
Time Series \\
Estimation of ARMA Process Parameters and Noise
Variance by Means of a Non-Linear Filtering Algorithm /
M. P. Mu{\~n}oz-Gracia, J. Pages-Fita and M.
Marti-Recober / 357 \\
Autoregressive Models with Latent Variables / P. H. C.
Eilers / 363 \\
An Algorithm for Time Series Decomposition Using State
Space Models with Singular Transition Matrix / E.
Alvoni / 369 \\
\\
Statistical Data Bases and Survey Processing \\
New Perspectives in Computer Assisted Survey Processing
/ W. J. Keller and J. G. Bethlehem. (Invited paper) /
377 \\
Multiple Imputation for Data-Base Construction / D. B.
Rubin. (Invited paper) / 389 \\
GRASP: A Complete Graphical Conceptual Language for
Definition and Manipulation of Statistical Databases /
T. Catarci and G. Santucci / 401 \\
\\
Experimental Design \\
New Algorithmic and Software Tools for D-Optimal Design
Computation in Nonlinear Regression / J. P. Vila / 409
\\
\\
Econometric Computing \\
Model-Building on Micro Computers: Sapreadsheets or
Specific Software / J.-L. Brillet / 417 \\
\\
Late Arrivals \\
Three Examples of Computer-Intensive Statistical
Inference / B. Efron / 423 \\
New Computer Procedures for Generating Optimal Mixture
Designs on Finite Design Spaces / H. A. Yonchev / 433
\\
Screening Based Exclusively on Experts Opinions / J.
{\'C}wik and E. Pleszczy{\'n}iska / 439 \\
\\
Address list of Authors / / 445",
}
@Proceedings{Sharda:1989:IRC,
editor = "R. Sharda and B. L. Golden and E. Wasil and O. Balci
and G. W. Stewart",
booktitle = "Impacts of Recent Computer Advances on Operations
Research",
title = "Impacts of Recent Computer Advances on Operations
Research",
volume = "9",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xii + 585",
year = "1989",
ISBN = "0-444-01492-6",
ISBN-13 = "978-0-444-01492-4",
LCCN = "T57.6 .I4831 1989",
bibdate = "Wed May 28 17:52:37 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kearfott-r-baker.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
z3950.loc.gov:7090/Voyager",
series = "Publications in Operations Research",
URL = "http://zbmath.org/?q=an:0727.90047",
ZMnumber = "0727.90047",
acknowledgement = ack-nhfb,
subject = "Operations research; Data processing",
tableofcontents = "\\
I. Plenary papers \\
\\
G. B. Dantzig / Decomposition techniques for
large-scale electric power systems planning under
uncertainty / 3--22 \\
\\
II. Parallel algorithms for mathematical programming
\\
\\
R. S. Barr, M. G. Christiansen / A parallel auction
algorithm: A case study in the use of parallel
object-oriented programming, 23--32 \\
J. O. Berkey, P. Y. Wang / A comparative study of some
parallel bin packing algorithms / 33--43 \\
T. E. Gerasch, P. Y. Wang, S. T. Weidman / SIMD
knapsack approximation algorithms / 44-- 56 \\
A. R. Joshi, D.-S. Chen / A vectorized dual algorithm
for generalized network problem / 57--70 \\
H. S. Mahmassani, K. C. Mouskos / Vectorization of
transportation network equilibrium assignment codes /
71--81 \\
G. L. Schultz, R. R. Meyer / A flexible parallel
algorithm for block-constrained optimization problems /
82--91 \\
R. Hunter Mladineo / Supercomputers and global
optimization / 92--105 \\
J. M. Mulvey, H. Vladimirou / Evaluation of a parallel
hedging algorithm for stochastic network programming /
106--119 \\
D. M. Nicol / Parallel solution of dynamic programming
equation using optimistic evaluation / 120--130 \\
P. M. Pardalos, G. P. Rodgers / Parallel branch and
bound algorithms for unconstrained quadratic zero-one
programming / 131--143 \\
G. Plateau, C. Roucairol / A supercomputer algorithm
for the 0--1 multiknapsack problem / 144--157 \\
M. J. Saltzman, R. Subramanian, R. E. Marsten /
Implementing an interior point LP algorithm on a
supercomputer / 158--168 \\
C. Phillips, S. A. Zenios / Experiences with large
scale network optimization on the connection machine /
169--182 \\
\\
III. Graphics in optimization \\
\\
I. Lustig / Application of interactive computer
graphics to linear programming / 183--189 \\
C. L. Monma, D. F. Shallcross / A PC-based interactive
network design system for fiber optic communication
networks / 190--204 \\
\\
IV. Microcomputers in operations research \\
\\
E. Gelman, M. A. Pollatschek / Personal computer
version of nearly triangular Leontief LP solution /
205--216 \\
T. P. Harrison, J. L. Martin / Optimizing exchange
agreements in the refining industry / 217-- 225 \\
J. K. Ho / Nonprocedural implementation of mathematical
programming algorithms / 226--237 \\
R. Terry, D. DeBald, R. Chikkala / Closed queueing
network analysis of indirect labor requirements /
238--247 \\
M. L. Villanueva, N. A. Wittpenn, C. B. Austin, E.
Baker / A microcomputer-based marine geographic
information system with marketing application /
248--262 \\
E. Wasil, B. Golden, R. Sharda / Mathematical
programming software for the microcomputer: Recent
advances, comparisons and trends / 263--272 \\
E. Wasil, A. Assad / Project management software for
the microcomputer: Recent advances and future
directions / 273--288 \\
\\
V. Artificial intelligence and expert systems \\
\\
G. Anandalingam, R. Mathieu, C. L. Pittard, N. Sinha /
Artificial intelligence based approaches for solving
hierarchical optimization problems / 289--301 \\
J. W. Denton, G. R. Madey / Impact of neurocomputing on
operations research / 302--312 \\
H. J. Greenberg / Neural networks for an intelligent
mathematical programming system / 313-- 320 \\
M. R. Hilliard, G. E. Liepins, M. Palmer, G. Rangarajan
/ The computer as a partner in algorithmic design:
Automated discovery of parameters for a multi-objective
scheduling heuristic / 321--331 \\
J.- Y. Potvin, S. F. Smith / Flexible systems for the
design of heuristic algorithms in complex OR domains /
332--346 \\
\\
VI. Vehicle routing and scheduling applications \\
\\
D. Jovanovic, P. T. Harker / SCAN: A decision support
system for railroad scheduling / 347--360 \\
K. E. Nygard, P. Juell, K. Nagesh / An interactive
decision support system for vehicle routing / 361--372
\\
J. R. Schaffer, P. K. Pearl / Vehicle routing and
scheduling for home delivery / 373--384 \\
\\
VII. Simulation \\
\\
O. Balci, R. E. Nance / Simulation model development:
The multidimensionality of the computing technology
pull / 385--395 \\
R. K. Kincaid, K. W. Miller, S. K. Park / Locating P
mobile servers on a congested network: A simulation
analysis / 396--406 \\
R. L. Moose, R. E. Nance / The design and development
of an analyzer for discrete event model specifications
/ 407--421 \\
R. J. Paul / Visual simulation: Seeing is believing?
422--432 \\
M. B. Silberholz, B. L. Golden, E. K. Baker /
Simulating a marine container terminal on the Macintosh
II / 433 \\
\\
VIII. Model development and analysis systems \\
\\
G. H. Bradley / Mathematical programming modeling
project - overview / 447--462 \\
R. G. Brown, J. W. Chinneck, G. M. Karam / Optimization
with constraint programming systems / 463--473 \\
M. Grauer, S. Albers, M. Frommberger / Concept and
first experiences with an object-oriented interface for
mathematical programming / 474--483 \\
G. Mitra / Tools for modelling support and construction
of optimization applications / 484--496 \\
A. D. Waren, M. Pechura, L. S. Lasdon / The GRG2 model
builder / 497--506 \\
S. Zenios, S. S. Nielsen, M. Pinar / On the use of
advance architecture computers via high-level modelling
languages / 507 \\
\\
IX. Telecommunications \\
\\
A. J. Perticone, J. P. Jarvis, D. R. Shier / Evaluation
and design of voice telecommunications network /
521--532 \\
\\
X. Numerical analysis \\
\\
R. Baker Kearfott / Interval arithmetic methods for
nonlinear systems and nonlinear optimization: An
outline and status / 533--542 \\
A. P. Morgan / Polynomial continuation / 543--554 \\
L. T. Watson / Modern homotopy methods in optimization
/ 555--566",
}
@Proceedings{Wouk:1989:PPM,
editor = "Arthur Wouk",
booktitle = "{Parallel processing and medium-scale multiprocessors
[Proceedings of the workshop, held in Stanford,
California, January 1986]}",
title = "{Parallel processing and medium-scale multiprocessors
[Proceedings of the workshop, held in Stanford,
California, January 1986]}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xi + 207",
year = "1989",
ISBN = "0-89871-238-6",
ISBN-13 = "978-0-89871-238-4",
LCCN = "QA76.5 .W665 1986",
MRnumber = "68-06 68N25 68W30",
bibdate = "Thu May 29 18:03:16 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://books.google.com/books?id=O3GOAAAAIAAJ;
http://catalog.hathitrust.org/api/volumes/oclc/19630560.html;
http://zbmath.org/?q=an:0681.68004",
ZMnumber = "0681.68004",
acknowledgement = ack-nhfb,
meetingname = "Workshop on Parallel Processing and Medium-scale
Multiprocessors (1986 : Stanford, Calif.)",
remark = "Proceedings of the Workshop on Parallel Processing and
Medium-Scale Multiprocessors, Stanford, California,
January, 1986. This workshop was sponsored by the
Mathematical Sciences Division of the United States
Army Research Office and the Department of Computer
Science.",
subject = "Parallel processing (Electronic computers);
Multiprocessors; multit{\^a}che; hypercube;
multiprocesseur; parall{\'e}lisme; traitement
parall{\`e}le; Multiprocesseurs.; Multiprocessors.;
Parallel processing (Electronic computers)",
}
@Proceedings{Brown:1990:SAM,
editor = "Philip J. Brown and Wayne A. Fuller",
booktitle = "{Statistical analysis of measurement error models and
applications: proceedings of the AMS-IMS-SIAM joint
summer research conference held June 10-16, 1989, with
support from the National Science Foundation and the
U.S. Army Research Office}",
title = "{Statistical analysis of measurement error models and
applications: proceedings of the AMS-IMS-SIAM joint
summer research conference held June 10-16, 1989, with
support from the National Science Foundation and the
U.S. Army Research Office}",
volume = "112",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xii + 248",
year = "1990",
ISBN = "0-8218-5117-9, 0-8218-7700-3 (e-book)",
ISBN-13 = "978-0-8218-5117-3, 978-0-8218-7700-5 (e-book)",
ISSN = "0271-4132",
LCCN = "QA275 .A47 1989",
bibdate = "Wed May 28 17:40:15 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Contemporary Mathematics",
URL = "http://www.ams.org/conm/112/",
acknowledgement = ack-nhfb,
mynote = "Proceedings of the AMS-IMS-SIAM Joint Summer Research
Conference",
remark = "The AMS-IMS-SIAM Joint Summer Research Conference in
the Mathematical Sciences on Statistical Analysis of
Measurement Error Models and Applications was held at
Humboldt State University, Arcata, California.",
tableofcontents = "Some history of functional and structural
relationships / Peter Sprent \\
\path=http://dx.doi.org/10.1090/conm/112/1087095= \\
Errors-in-variables regression problems in epidemiology
/ Alice S. Whittemore \\
\path=http://dx.doi.org/10.1090/conm/112/1087096= \\
Models with latent variables: LISREL versus PLS / Hans
Schneeweiss \\
\path=http://dx.doi.org/10.1090/conm/112/1087097= \\
Prediction of true values for the measurement error
model / Wayne A. Fuller \\
\path=http://dx.doi.org/10.1090/conm/112/1087098= \\
Analysis of residuals from measurement error models /
Stephen M. Miller \\
\path=http://dx.doi.org/10.1090/conm/112/1087099= \\
Errors-in-variables estimation in the presence of
serially correlated observations / John L. Eltinge \\
\path=http://dx.doi.org/10.1090/conm/112/1087100= \\
Improvements of the naive approach to estimation in
nonlinear errors-in-variables regression models / Leon
Jay Gleser \\
\path=http://dx.doi.org/10.1090/conm/112/1087101= \\
Structural logistic regression measurement error models
/ Leonard A. Stefanski and Raymond J. Carroll \\
\path=http://dx.doi.org/10.1090/conm/112/1087102= \\
Measurement error model estimation using iteratively
weighted least squares / Daniel W. Schafer \\
\path=http://dx.doi.org/10.1090/conm/112/1087103= \\
Problematic points in nonlinear calibration / Philip J.
Brown and Samuel D. Oman \\
\path=http://dx.doi.org/10.1090/conm/112/1087104= \\
Instrumental variable estimation of the nonlinear
measurement error model / Yasuo Amemiya \\
\path=http://dx.doi.org/10.1090/conm/112/1087105= \\
A likelihood ratio test for error covariance
specification in nonlinear measurement error models /
Daniel J. Schnell \\
\path=http://dx.doi.org/10.1090/conm/112/1087106= \\
Plotting techniques for errors-in-variables problems /
Cliff H. Spiegelman \\
\path=http://dx.doi.org/10.1090/conm/112/1087107= \\
Perturbation theory and least squares with errors in
the variables / G. W. Stewart \\
\path=http://dx.doi.org/10.1090/conm/112/1087108= \\
Orthogonal distance regression / Paul T. Boggs and
Janet E. Rogers \\
\path=http://dx.doi.org/10.1090/conm/112/1087109= \\
Computing error bounds for regression problems /
Nicholas J. Higham \\
\path=http://dx.doi.org/10.1090/conm/112/1087110= \\
Asymptotic robustness of normal theory methods for the
analysis of latent curves / M. W. Browne \\
\path=http://dx.doi.org/10.1090/conm/112/1087111= \\
Bounded influence errors-in-variables regression / Chi
Lun Cheng and John W. Van Ness \\
\path=http://dx.doi.org/10.1090/conm/112/1087112= \\
Bounded influence estimation in the errors-in-variables
model / V{\'i}ctor J. Yohai and Ruben H. Zamar \\
\path=http://dx.doi.org/10.1090/conm/112/1087113=",
}
@Proceedings{Cox:1990:RNC,
editor = "M. G. Cox and S. Hammarling",
booktitle = "Reliable numerical computation",
title = "Reliable numerical computation",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xvi + 339",
year = "1990",
ISBN = "0-19-853564-3",
ISBN-13 = "978-0-19-853564-5",
LCCN = "QA297 .R435 1990",
MRclass = "65-06",
MRnumber = "91k:65011",
bibdate = "Fri Dec 20 18:34:52 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
note = "Based on papers from a conference in honour of the
late James Hardy Wilkinson (died Sunday 5th October
1986) held at National Physical Laboratory, Teddington,
Middlesex, UK, 8th--10th July 1987.",
price = "US\$75.00",
abstract = "Published to honor the late Jim Wilkinson, the
respected pioneer in numerical analysis, this book
includes contributions from his colleagues and
collaborators, leading experts in their own right. The
breadth of Wilkinson's research is reflected in the
topics covered, which include linear algebra, error
analysis and computer arithmetic algorithms, and
mathematical software. An invaluable reference, the
book is completely up-to-date with the latest
developments on the Lanczos algorithm,
QR-factorizations, error propagation models, parameter
estimation problems, sparse systems, and
shape-preserving splines. Reflecting the current growth
and vitality of this field, the volume is an essential
reference for all numerical analysts.",
acknowledgement = ack-nhfb,
tableofcontents = "List of contributors / / xv \\
Prologue. Reflections on Jim Wilkinson / Gene Golub / 1
\\
1. Misconvergence in the Lanczos algorithm / Beresford
Parlett / 7 \\
2. The Lanczos algorithm for a pure imaginary Hermitian
matrix / Charles L. Lawson and Kajal K. Gupta / 25 \\
3. Nearest defective matrices and the geometry of
ill-conditioning / James Demmel / 35 \\
4. Computational aspects of the Jordan canonical form /
Theo Beelen and Paul Van Dooren / 57 \\
5. Some aspects of generalized QR factorizations / C.
C. Paige / 73 \\
6. The multifrontal method in a parallel environment /
I. S. Duff, N. I. M. Gould, M. Lescrenier, and J. K.
Reid / 93 \\
7. A Schur-complement method for sparse quadratic
programming / Philip E. Gill, Walter Murray, Michael A.
Saunders, and Margaret H. Wright / 113 \\
8. A probabilistic round-off error propagation model.
Application to the eigenvalue problem / Francoise
Chatelin and Marie Christine Brunet / 139 \\
9. Analysis of the Cholesky decomposition of a
semi-definite matrix / Nicholas J. Higham / 161 \\
10. On the conditioning of parameter estimation
problems / James M. Varah / 187 \\
11. Rounding errors in algebraic process-in level-index
arithmetic / F. W J. Olver / 197 \\
12. Experiments in tearing large sparse systems / Mario
Arioli and lain S. Duff / 207 \\
13. The least-squares solution of linear equations with
block-angular observation matrix / M. G. Cox / 227 \\
14. An iterative method for solving linear inequalities
/ G. W Stewart / 241 \\
15. Iterative refinement and reliable computing /
{\AA}ke Bj{\"o}rck / 249 \\
16. Software for shape-preserving spline interpolation
/ Christian H. Reinsch / 267 \\
17. Experiences with some software engineering
practices in numerical software / D. A. H. Jacobs and
G. Markham / 277 \\
18. Evolution of numerical software for dense linear
algebra / Jack Dongarra and Sven Hammarling / 297 \\
Epilogue. Jim Wilkinson: some after-dinner sentiments /
L. Fox / 329",
}
@Proceedings{Stewart:1990:NSM,
editor = "W. J. Stewart",
booktitle = "Numerical Solutions of {Markov} Chains",
title = "Numerical Solutions of {Markov} Chains",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "????",
year = "1990",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Thu May 29 18:13:39 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Chen:1991:CRT,
editor = "Ray R. Chen",
booktitle = "{Conference record of the Twenty-fifth Asilomar
Conference on Signals, Systems and Computers: November
4--6, 1991, Pacific Grove, California}",
title = "{Conference record of the Twenty-fifth Asilomar
Conference on Signals, Systems and Computers: November
4--6, 1991, Pacific Grove, California}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "xx + 1269 + 5",
year = "1991",
ISBN = "0-8186-2470-1 (paperback), 0-8186-2471-X (microfiche),
0-8186-2472-8 (hardcover)",
ISBN-13 = "978-0-8186-2470-4 (paperback), 978-0-8186-2471-1
(microfiche), 978-0-8186-2472-8 (hardcover)",
LCCN = "TK 5102.5 A78 1991",
bibdate = "Thu Apr 27 08:38:04 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/bell-brad.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
note = "IEEE catalog number 91CH31120. IEEE Computer Society
Press order number 2470.",
URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=382",
acknowledgement = ack-nhfb,
}
@Proceedings{IEEE:1991:ICA,
editor = "{IEEE}",
booktitle = "{1991 International Conference on Acoustics, Speech,
and Signal Processing: ICASSP-91: May 14--17, 1991, The
Sheraton Centre Hotel and Towers, Toronto, Ontario,
Canada}",
title = "{1991 International Conference on Acoustics, Speech,
and Signal Processing: ICASSP-91: May 14--17, 1991, The
Sheraton Centre Hotel and Towers, Toronto, Ontario,
Canada}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "3732 (5 volumes)",
year = "1991",
ISBN = "0-7803-0003-3 (paperback), 0-7803-0004-1 (hardcover),
0-7803-0005-X (microfiche)",
ISBN-13 = "978-0-7803-0003-3 (paperback), 978-0-7803-0004-0
(hardcover), 978-0-7803-0005-7 (microfiche)",
LCCN = "TA365 I58 1991; TK7882.S65 I16 1991",
bibdate = "Wed May 28 16:58:34 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=540",
acknowledgement = ack-nhfb,
tableofcontents = "vol. 1. S1: Speech processing 1 \\
vol. 2. S2, VLSI, U: Speech processing 2, VLSI,
Underwater signal processing \\
vol. 3. D: Digital signal processing \\
vol. 4. M: Multidimensional signal processing \\
vol. 5. EA: Spectral estimation, Audio and
electroacoustics",
}
@Proceedings{Vaccaro:1991:SSP,
editor = "Richard J. Vaccaro",
booktitle = "{SVD and signal processing, II: algorithms, analysis,
and applications}",
title = "{SVD and signal processing, II: algorithms, analysis,
and applications}",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "xv + 512",
year = "1991",
ISBN = "0-444-88896-9",
ISBN-13 = "978-0-444-88896-9",
LCCN = "TK5102.5 .S93 1991",
bibdate = "Thu May 29 18:20:53 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/22911621.html",
abstract = "This volume is an outgrowth of the 2nd International
Workshop on SVD and Signal Processing which was held in
Kingston, Rhode Island, 25--27 June, 1990. The singular
value decomposition (SVD) has been applied to signal
processing problems since the late 1970's, although it
has been known in various forms for over 100 years. SVD
filtering has been shown to give better results at
lower signal-to-noise ratios than classical techniques
based on linear filtering. This explains in part the
recent interest in SVD techniques for signal
processing. This book is a compilation of papers that
examine in detail the singular decomposition of a
matrix and its application to problems in signal
processing. Algorithms and implementation architectures
for computing the SVD are discussed, and analysis
techniques for predicting and understanding the
performance of SVD-based algorithms are given. The
volume will provide both a stimulus for future research
in this field as well as useful reference material for
many years to come.",
acknowledgement = ack-nhfb,
remark = "An outgrowth of the 2nd International Workshop on SVD
and Signal Processing, held at the University of Rhode
Island, June 25--27, 1990, sponsored by the URI College
of Engineering.",
subject = "Signal processing; Digital techniques; Decomposition
(Mathematics)",
tableofcontents = "Part I. Survey Papers \\
\\
The SVD and reduced-rank signal processing / L. L.
Scharf / 13--17 \\
Second Order Perturbation Calculation / / 18--?? \\
Parallel implementations of the SVD using implicit
CORDIC arithmetic / J-M. Delosme / 33--56 \\
Neural networks for extracting
pure/constrained/oriented principal components / S. Y.
Kung et al. / \\
Generalizations of the OSVD: structure, properties and
applications / B. de Moor / \\
Perturbation theory for the singular value
decomposition / G. W. Stewart / \\
\\
Part II. Algorithms and Architectures \\
\\
An accurate product SVD algorithm / A. W. Bojanczyk et
al. / \\
The hyperbolic singular value decomposition and
applications / R. Onn et al. / \\
Adaptive SVD algorithm with application to narrow-band
signal tracking / W. Ferzali, J. G. Proakis / \\
Chebyshev acceleration techniques for solving slowly
varying total least squares problems / S. van huffel /
\\
Combined Jacobi-type algorithms in signal processing /
M. Moonan et al. / \\
A modified non-symmetric Lanczos algorithm and
applications / D. Boley, G. Golub / \\
Parallel one sided Euler-Jacobi method for symmetric
eigendecomposition and SVD / A. W. Bojanczyk et al. /
\\
Using UNITY to implement SVD on the connection machine
/ M. Kleyn, I. Chakravarty / \\
A CORDIC processor array for the SVD of a complex
matrix / J. R. Cavallaro, A. C. Elster / \\
\\
Part III. Analysis of SVD-Based Algorithms \\
\\
Analytical performance prediction of subspace-based
algorithms for DOA estimation / Fu Li, R. J. Vaccaro /
\\
Spatial smoothing and MUSIC: Further results / B. D.
Rao, K. V. S. Hari / \\
A performance analysis of adaptive algorithms in the
presence of calibration errors / D. R. Farrier, D. J.
Jeffries / \\
Second order perturbation calculation of state space
estimation / W. W. F. Pijnappel et al. / \\
The threshold effect in signal processing algorithms
which use an estimated subspace / D. W. Tufts et al. /
\\
\\
Part IV \\
\\
Applications to signal modeling and detection OSVD and
QSVD in signal separation / D. Callaerts et al. / \\
Enhanced sinusoidal and exponential data modeling / J.
A. Cadzow, D. M. Wilkes / \\
Enhancements to SVD-Based detection / J. H. Cozzens, M.
J. Sousa / \\
Resolution of closely spaced coherent plane waves via
SVD / H. Krim et al. / \\
Transient parameter estimation by an SVD-based Wigner
distribution / M. F. Griffin, A. M. Finn / \\
Signal/noise subspace decomposition for random
transient detection / N. M. Marinovich, L. M. Roytman /
\\
Comparisons of truncated QR and SVD methods for AR
spectral estimations / S. F. Hsieh et al. / \\
Using singular value decomposition to recover periodic
waveforms in noise and with residual carrier / B. Rice
/ \\
Other Applications. SVD-based low-rank approximations
of rational models / A-J. van der Veen, E. F.
Deprettere / \\
Computing the singular values and vectors of a Hankel
operator / H. Ozbay / \\
SVD analysis of probability matrices / J. A. Ramos /
\\
Fast matrix-vector multiplication using displacement
rank approximation via an SVD / J. M. Speiser et al. /
\\
A new use of singular value decomposition in
bioelectric imaging of the brain / D. J. Major, R. J.
Sidman /",
}
@Proceedings{IEEE:1992:III,
editor = "IEEE",
booktitle = "{ICASSP-92 / 1992 IEEE International Conference on
Acoustics, Speech, and Signal Processing, March 23--26,
1992, the San Francisco Marriott, San Francisco,
California}",
title = "{ICASSP-92 / 1992 IEEE International Conference on
Acoustics, Speech, and Signal Processing, March 23--26,
1992, the San Francisco Marriott, San Francisco,
California}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "640 (vol. 1), 572 (vol. 2), 596 (vol. 3), 716 (vol.
4), 696 (vol. 5)",
year = "1992",
ISBN = "0-7803-0533-7 (hardcover), 0-7803-0532-9 (paperback),
0-7803-0534-5 (microfiche)",
ISBN-13 = "978-0-7803-0533-5 (hardcover), 978-0-7803-0532-8
(paperback), 978-0-7803-0534-2 (microfiche)",
LCCN = "TK 7882 S65 I16 1992",
bibdate = "Sun Apr 07 09:26:57 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathematica.bib",
note = "Five volumes. IEEE catalog number 92CH3103-9",
acknowledgement = ack-nhfb,
tableofcontents = "vol. 1. S1: Speech processing 1 \\
vol. 2. S2, ANU: Speech processing 2, audio, neural
networks, underwater acoustics \\
vol. 3. M: Multidimensional signal processing \\
vol. 4. D1: Digital signal processing \\
vol. 5. D2EV: Digital signal processing 2, estimation,
VSLI",
}
@Proceedings{Meyer:1993:LAM,
editor = "C. D. (Carl Dean) Meyer and Robert J. Plemmons",
booktitle = "{Linear algebra, Markov chains, and queueing models:
[\ldots{} some of the lectures given at the Workshop
Linear Algebra, Markov Chains, and Queueing Models held
January 13--17, 1992, as part of the Year of Applied
Linear Algebra at the Institute for Mathematics and its
Applications]}",
title = "{Linear algebra, Markov chains, and queueing models:
[\ldots{} some of the lectures given at the Workshop
Linear Algebra, Markov Chains, and Queueing Models held
January 13--17, 1992, as part of the Year of Applied
Linear Algebra at the Institute for Mathematics and its
Applications]}",
volume = "48",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 294",
year = "1993",
ISBN = "0-387-94085-5 (New York), 3-540-94085-5 (Berlin)",
ISBN-13 = "978-0-387-94085-4 (New York), 978-3-540-94085-2
(Berlin)",
LCCN = "QA184 .L545 1993",
bibdate = "Wed May 28 17:58:34 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
z3950.loc.gov:7090/Voyager",
series = "The IMA volumes in mathematics and its applications",
URL = "http://catalog.hathitrust.org/api/volumes/oclc/28182134.html;
http://www.gbv.de/dms/ilmenau/toc/126000387.PDF;
http://zbmath.org/?q=an:0779.00020",
acknowledgement = ack-nhfb,
subject = "Algebras, Linear; Congresses; Markov processes;
Queuing theory",
tableofcontents = "Error bounds for the computation of null vectors
with applications to Markov chains / Jesse L. Barlow
\\
The influence of nonnormality on matrix computations /
Fran{\c{c}}oise Chatelin \\
Componentwise error analysis for stationary iterative
methods / Nicholas J. Higham and Philip A. Knight \\
The character of a finite Markov chain / Carl D. Meyer
\\
Gaussian elimination, perturbation theory, and Markov
chains / G. W. Stewart \\
Algorithms for periodic Markov chains / Fran{\c{c}}ois
Bonhoure, Yves Dallery, and William J. Stewart \\
Iterative methods for queueing networks with irregular
state-spaces / Raymond H. Chan \\
Analysis of $p$-cyclic iterations for Markov chains /
Apostolos Hadjidimos and Robert J. Plemmons \\
Iterative methods for finding the stationary vector for
Markov chains / Dianne P. O'Leary \\
Local convergence of (exact and inexact) iterative
aggregation / Daniel B. Szyld \\
Automated generation and analysis of Markov reward
models using stochastic reward nets / Gianfranco Ciardo
\ldots{} [et al.] \\
Means and variances in Markov reward systems / Winfried
K. Grassman \\
A direct algorithm for computing the stationary
distribution of a $p$-cyclic Markov chain / Daniel P.
Heyman \\
Approximate analysis of a discrete-time queueing model
of the shared buffer ATM switch / S. Hong, H. G.
Perros, and H. Yamashita \\
Algorithms for infinite Markov chains with repeating
columns / Guy Latouche \\
Cray-2 memory organization and interprocessor memory
contention / Robert W. Numrich",
}
@Proceedings{Moonen:1993:LAL,
editor = "Marc S. Moonen and Gene H. Golub and Bart L. R. {De
Moor}",
booktitle = "{Linear Algebra for Large Scale and Real-Time
Applications: Proceedings of the NATO Advanced Study
Institute, Leuven, Belgium, August 3--14, 1992}",
title = "{Linear Algebra for Large Scale and Real-Time
Applications: Proceedings of the NATO Advanced Study
Institute, Leuven, Belgium, August 3--14, 1992}",
volume = "232",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "ix + 435",
year = "1993",
ISBN = "0-7923-2151-0",
ISBN-13 = "978-0-7923-2151-4",
LCCN = "QA185.D37 L56 1993",
MRclass = "65-06 (65Fxx 65Y05)",
MRnumber = "94e:65009",
bibdate = "Mon Jan 15 17:53:04 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
series = "NATO ASI series. Series E, Applied sciences",
URL = "http://catdir.loc.gov/catdir/enhancements/fy0823/92046135-d.html;
http://www.gbv.de/dms/hbz/toc/ht004938330.pdf;
http://zbmath.org/?q=an:0810.00029",
ZMnumber = "0810.00029",
abstract = "In recent years there has been great interest in large
scale and real-time matrix computations; these
computations arise in a variety of fields, such as
computer graphics, imaging, speech and image
processing, telecommunication, biomedical signal
processing, optimization and so on. This volume, which
is an outgrowth of a NATO ASI, held at Leuven, Belgium,
August 1992, gives an account of recent research
advances in numerical techniques used in large scale
and real-time computations and their implementation on
high performance computers.",
acknowledgement = ack-nhfb,
tableofcontents = "Preface / / xi \\
Invited Lectures / / 1 \\
Large scale structural analysis on massively parallel
computers / P. E. Bj{\o}rstad and J. Cook / 3 \\
Data-parallel BLAS as a basis for LAPACK on massively
parallel computers / P. E. Bj{\o}rstad and T.
S{\o}revik / 13 \\
a Large-scale nonlinear constrained optimization / A.
R. Conn, N. Gould and Ph. L. Toint / 21 \\
Trading off parallelism and numerical stability / J. W.
Demmel / 49 \\
Subband filtering: CORDIC modulation and systolic
quadrature mirror filter tree / E. F. Deprettere / 69
\\
A parallel image rendering algorithm and architecture
based on ray tracing and radiosity shading / E. F.
Deprettere and L.-S. Shen / 91 \\
Reduction and approximation of linear computational
circuits / P. Dewilde and A.-J. van der Veen / 109 \\
The look-ahead Lanczos process for large nonsymmetric
matrices and related algorithms / R. W. Freund / 137
\\
Case studies of real-time processing in robotics / W.
M. Gentleman / 165 \\
Adaptive signal processing with emphasis on QRD-least
squares lattice / S. Haykin / 183 \\
A direct method for reordering eigenvalues in the
generalized real Schur form of a regular matrix pair
(A, B) / B. K{\aa}gstr{\"o}m / 195 \\
Block shift invariance and efficient system
identification algorithms / N. Kalouptsidis / 219 \\
Computing the singular value decomposition on a
fat-tree architecture / T. J. Lee, F. T. Luk and D. L.
Boley / 231 \\
A new matrix decomposition for signal processing / F.
T. Luk and S. Qiao / 241 \\
The linear algebra of perfect reconstruction filtering
/ M. Stewart and G. Cybenko / 249 \\
Determining rank in the presence of error / G. W.
Stewart / 275 \\
Approximation with Kronecker products / C. F. Van Loan
and N. Pitsianis / 293 \\
Some linear algebra issues in large-scale optimization
/ M. H. Wright / 315 \\
Contributed Lectures / / 339 \\
Direct and inverse unitary eigenproblems in signal
processing: an overview / G. S. Ammar, W. B. Gragg and
L. Reichel / 341 \\
Block implementations of the symmetric QR and Jacobi
algorithms / P. Arbenz and M. Oettli / 345 \\
Linear algebra for large-scale information retrieval
applications / M. W. Berry / 347 \\
Matched filter vs. least-squares approximation / L. H.
J. Bierens / 349 \\
Reordering diagonal blocks in real Schur form / A. W.
Bojanczyk and P. Van Dooren / 351 \\
Placing zeroes and the Kronecker canonical form / D. L.
Boley and P. Van Dooren / 353 \\
Analysis of the recursive least squares lattice
algorithm / J. R. Bunch and R. C. LeBorne / 355 \\
Adaptive Chebyshev iteration based on modified moments
/ D. Calvetti, G. H. Golub and L. Reichel / 357 \\
Continuous realization methods and their applications /
M. T. Chu / 359 \\
Asymptotic behavior of orthogonal polynomials / T. Dehn
/ 361 \\
CADCS and parallel computing / F. Dumortier, A. Van
Cauwenberghe and L. Boullart / 363 \\
Eigenvalue roulette and random test matrices / A.
Edelman / 365 \\
On numerical methods for unitary eigenvalue problems /
H. Fa{\sas}bender / 369 \\
Accurate singular values and differential qd algorithms
/ K. V. Fernando and B. N. Parlett / 371 \\
Orthogonal projection and total least squares / R. D.
Fierro and J. R. Bunch / 375 \\
Gauss quadratures associated with the Arnoldi process
and the Lanczos algorithm / R. W. Freund and M.
Hochbruck / 377 \\
An implementation of the QMR method based on coupled
two-term recurrences / R. W. Freund and N. M. Nachtigal
/ 381 \\
Computationally efficient homotopies for the H 2 model
order reduction problem / Y. Ge, L. T. Watson, E. G.
Collins, Jr. and L. D. Davis / 385 \\
A fast algorithm for $QR$ decomposition of Toeplitz
matrices / G. O. Glentis / 387 \\
Unitary Hessenberg methods for Toeplitz approximations
and applications / Ch. He and A. Bunse-Gerstner / 389
\\
Perturbation theory and backward error for $A X - X B =
C$ / N. J. Higham / 391 \\
Fast transforms and elliptic problems / T. Huckle / 393
\\
An interior-point method for minimizing the maximum
eigenvalue of a linear combination of matrices / F.
Jarre / 395 \\
The lattice-ladder with generalized forgetting / J.
Kadlec / 397 \\
Solving a least squares problem with boundary
constraints / L. Kaufman / 399 \\
Estimating the extremal eigenvalues and condition
number by the Lanczos algorithm with a random start /
J. Kuczy{\'n}ski and H. Wo{\'z}niakowski / 401 \\
A generalized ADI iterative method / N. Levenberg and
L. Reichel / 403 \\
Quaternions and the symmetric eigenvalue problem / N.
Mackey / 405 \\
Application of the Gauss-Seidel iteration to the RLS
algorithm / {\"O}. Morg{\"u}l and A. Mala{\c{s}} / 407
\\
Ranks of submatrices of a matrix and its inverse / C.
C. Paige and M. Wei / 409 \\
A QRD-based least-squares algorithm for multipulse
antenna array signal processing / I. K. Proudler / 411
\\
On displacement structures for covariance matrices and
lossless functions / P. A. Regalia and F. Desbouvries /
413 \\
Application of vector extrapolation and conjugate
gradient type methods to the semiconductor device
problem / W. H. A. Schilders / 415 \\
Accurate symmetric eigenreduction by a Jacobi method /
I. Slapni{\v{c}}ar / 417 \\
The order-recursive Chandrasekhar equations for fast
square-root Kalman filtering / D. T. M. Slock / 419 \\
Hybrid iterative methods based on Faber polynomials /
G. Starke / 421 \\
Aspects of implementing a 'C' matrix library / D. E.
Stewart / 423 \\
Intermediate fill-in in sparse QR decomposition / M.
T{\r{u}}ma / 425 \\
Shifting strategies for the parallel QR algorithm / D.
S. Watkins / 427 \\
List of Participants / / 429 \\
Authors Index / / 437",
}
@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 = "http://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/einstein.bib;
http://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{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 = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://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{Griffiths:1994:NAP,
editor = "D. F. (David Francis) Griffiths and G. A. (G.
Alistair) Watson",
booktitle = "{Numerical analysis 1993: proceedings of the 15th
Dundee Conference, June--July 1993}",
title = "{Numerical analysis 1993: proceedings of the 15th
Dundee Conference, June--July 1993}",
volume = "303",
publisher = pub-LONGMAN,
address = pub-LONGMAN:adr,
pages = "275",
year = "1994",
ISBN = "0-582-22568-X",
ISBN-13 = "978-0-582-22568-8",
ISSN = "0269-3674",
LCCN = "QA297 .D85 1993",
bibdate = "Mon Jan 2 16:37:00 MST 2006",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
library.ox.ac.uk:210/ADVANCE",
series = "Pitman research notes in mathematics series",
acknowledgement = ack-nhfb,
meetingname = "Dundee Biennial Conference on Numerical Analysis
(15th: 1993)",
remark = "The 15th Dundee Biennial Conference on Numerical
Analysis was held at the University of Dundee during
the 4 days June 29--July 2, 1993.",
subject = "Numerical analysis; Congresses",
tableofcontents = "J. W. Harrett \& Wenbin Liu: Finite Element
Approximation of Degenerate Quasilinear Elliptic and
Parabolic Problems / 1 \\
R. K. Beatson \& M. J. D. Powell: An Iterative Method
for Thin Plate Spline Interpolation that Employs
Approximations to Lagrange Functions / 17 \\
I. S. Duff: The Solution of Augmented Systems / 10 \\
C. M. Elliott \& A. R. Gardiner: One Dimensional Phase
Field Computations / 56 \\
J. de Frutos \& J. M. Sanz-Serna: Erring and being
Conservative / 75 \\
P. E. Gill, W. Murray, D. B. Poncele{\'o}n \& M. A.
Saunders: Solving Reduced KKT Systems in Barrier
Methods for Linear Programming / 89 \\
G. H. Golub \& Gerard Meurant: Matrices, Moments, and
and Quadrature / 105 \\
J. Groeneweg \& M. N. Spijker: On the Error due to the
Stopping of the Newton Iteration in Implicit Linear
Multistep Methods / 157 \\
D. J. Higham: The Dynamics of a Discretised Nonlinear
Delay Differential Equation / 167 \\
A. R. Humphries, D. A. Jones \& A. M. Stuart:
Approximation of Dissipative Partial Differential
Equations over Long Time Intervals / 180 \\
N. K. Nichols: Differential--Algebraic Equations and
Control System Design / 208 \\
G. W. Stewart: $UTV$ Decompositions / 225 \\
M. J. Todd: A Lower Bound on the Number of Iterations
of an Interior-Point Algorithm for Linear Programming /
237 \\
P. Townsend \& M. F. Webster: Computational Analysis in
Rheological Flow Problems / 260 \\
List of Contributed Talks / / 267",
}
@Proceedings{Stewart:1995:CMC,
editor = "William J. Stewart",
booktitle = "{Computations with Markov chains: proceedings of the
2nd International Workshop on the Numerical Solution of
Markov Chains}",
title = "{Computations with Markov chains: proceedings of the
2nd International Workshop on the Numerical Solution of
Markov Chains}",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xvi + 600",
year = "1995",
ISBN = "0-7923-9550-6",
ISBN-13 = "978-0-7923-9550-8",
LCCN = "QA274.7 .I595 1995",
bibdate = "Thu May 29 19:15:04 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://zbmath.org/?q=an:0940.00042",
ZMnumber = "0940.00042",
acknowledgement = ack-nhfb,
meetingname = "International Workshop on the Numerical Solution of
Markov Chains (2nd : 1995 : Raleigh, NC)",
remark = "Papers from the workshop held Jan. 16-18, 1995, in
Raleigh, NC",
subject = "Markov processes; Congresses",
tableofcontents = "1. Detecting Block GI/M/1 and Block M/G/1 Matrices
from Model Specifications / S. Berson and R. Muntz / 1
\\
2. On Cyclic Reduction Applied to a Class of
Toeplitz-like Matrices Arising in Queueing Problems /
D. Bini and B. Meini / 21 \\
3. A Markov Modulated, Nearly Completely Decomposable
M/M/1 Queue / G. Latouche and P. J. Schweitzer / 39 \\
4. Preconditioned Krylov subspace methods for the
numerical solution of Markov chains / Y. Saad / 49 \\
5. A Parallel Block Projection Method of the Cimmino
Type for Finite Markov Chains / M. Benzi, F. Sgallari
and G. Spaletta / 65 \\
6. Iterative Methods for Queueing Models with Batch
Arrivals / R. H. Chun and W.-K. Ching / 81 \\
7. Transient Colutions of Markov Processes by Krylov
Subspaces / R. B. Sidje and B. Philippe / 95 \\
8. Exact Methods for the Transient Analysis of
Nonhomogeneous Continuous Time Markov Chains / A.
Rindos, S. Woolet, I. Viniotis and K. Trivedi / 121 \\
Time-Dependent behavior of Redundant Systems with
Deterministic Repair / / 135 \\
What is Fundamental for Markov Chains: First Passage
Times, Fundamental Matrices, and Group Generalized
Inverses / / 151 \\
Immediate Events in Markov Chains / / 163 \\
Compositional Markovian Modelling Using A Process
Algebra / / 177 \\
Equivalence Relations for Stochastic Automata Networks
/ / 197 \\
Graphs and Stochastic Automata Networks / / 217 \\
Analyzing Sample Path Data from Markov Chain Sampling
Experiments / / 237 \\
Resource Sharing Models with State-Dependent Arrivals
of Batches / / 255 \\
Implementable Policies: Discounted Cost Case / / 283
\\
Two Bounding Schemes for the Steady-State Solution of
Markov Chains / / 307 \\
The Power-Series Algorithm for Markovian Queueing
Networks / / 321 \\
Discrete-Time Markovian Stochastic Petri Nets / / 339
\\
Concurrent Generalized Petri Nets / / 359 \\
Exploiting Isomorphisms and Special Structures in the
Analysis of Markov Regenerative Stochastic Petri Nets /
/ 383 \\
Numerical solution of large finite Markov chains by
algebraic multigrid techniques / / 403 \\
On the Utility of the Multi-Level Algorithm for the
Solution of Nearly Completely Decomposable Markov
Chains / / 425 \\
A Computationally Efficient Algorithm for
Characterizing the Superposition of Multiple
Heterogeneous Interrupted Bernoulli Processes / / 443
\\
Generalized Folding Algorithm for Transient Analysis of
Finite QBD Processes and its Queueing Applications / /
463 \\
Efficient Solutions for a Class of Non-Markovian Models
/ / 483 \\
Markovian Arrival and Service Communication Systems:
Spectral Expansions, Separability and Kronecker-Product
Forms / / 507 \\
Empirical Comparison of Uniformization Methods for
Continuous-Time Markov Chains / / 547 \\
Numerical Methods for M/G/1 Type Queues / / 571 \\
Closing the Gap between Classical and Tensor Based
Iteration Techniques / / 582 \\
Adaptive Relaxation for the Steady-State Analysis of
Markov Chains / / 585 \\
State Space Decomposition for Large Markov Chains / /
587 \\
Aggregation/Disaggregation Method on Parallel Computer
/ / 591 \\
Parallel Implementation of the GTH Algorithm for Markov
Chains / / 594 \\
A Parallel Implementation of the Block-GTH algorithm /
/ 597 \\
Approximate Computation of Sojourn Time Distribution in
Open Queueing Networks / / 599",
}
@Proceedings{vanHuffel:1997:RAT,
editor = "Sabine van Huffel",
booktitle = "{Recent advances in total least squares techniques and
errors-in-variables modeling}",
title = "{Recent advances in total least squares techniques and
errors-in-variables modeling}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxii + 377",
year = "1997",
ISBN = "0-89871-393-5",
ISBN-13 = "978-0-89871-393-0",
LCCN = "QA275 .R4 1997",
bibdate = "Thu May 29 19:17:47 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
z3950.loc.gov:7090/Voyager",
note = "Proceedings of the Second International Workshop on
Total Least Squares and Errors-in-Variables Modeling,
Leuven, Belgium, August 21--24, 1996.",
URL = "http://zbmath.org/?q=an:0861.00018",
ZMnumber = "0861.00018",
acknowledgement = ack-nhfb,
subject = "Least squares; Congresses; Error analysis
(Mathematics)",
}
@Proceedings{ACM:1998:AWJ,
editor = "{ACM}",
booktitle = "ACM 1998 Workshop on Java for High-Performance Network
Computing, February 28 and March 1, 1998",
title = "{ACM} 1998 Workshop on Java for High-Performance
Network Computing, February 28 and March 1, 1998",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "????",
year = "1998",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Tue Feb 26 08:15:29 2002",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
note = "Possibly unpublished, except electronically.",
URL = "http://www.cs.ucsb.edu/conferences/java98/program.html",
acknowledgement = ack-nhfb,
}
@Proceedings{IEEE:2002:IIC,
editor = "{IEEE}",
booktitle = "{2002 IEEE international conference on acoustics,
speech and signal processing: proceedings, May 13-17,
2002, Renaissance Orlando Resort, Orlando, Florida,
USA}",
title = "{2002 IEEE international conference on acoustics,
speech and signal processing: proceedings, May 13-17,
2002, Renaissance Orlando Resort, Orlando, Florida,
USA}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "civ + 4194 (4 volumes)",
year = "2002",
ISBN = "0-7803-7402-9 (paperback)",
ISBN-13 = "978-0-7803-7402-7 (paperback)",
LCCN = "TA365 I11 2002; TK7882.S65 I61 2002",
bibdate = "Wed May 28 17:21:25 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
note = "IEEE catalog number 02CH37334C",
acknowledgement = ack-nhfb,
subject = "Speech processing systems; Signal processing systems;
Electro-acoustics; Underwater acoustics; Integrated
circuits; Very large scale integration; DSP; signal
multidimensionnel; traitement parole; traitement signal
biom{\'e}dical; syst{\`e}me embarqu{\'e}; architecture
traitement signal; multim{\'e}dia; temps r{\'e}el;
filigrane; indexation video; analyse image;
authentification; codage vid{\'e}o; codage image;
algorithme traitement image; Traitement du signal;
Congr{\`e}s; Traitement automatique de la parole;
{\'E}lectroacoustique; Acoustique sous-marine; Circuits
int{\'e}gr{\'e}s {\`a} tr{\`e}s grande {\'e}chelle;
DSP; signal multidimensionnel; traitement parole;
traitement signal biom{\'e}dical; syst{\`e}me
embarqu{\'e}; architecture traitement signal;
multim{\'e}dia; temps r{\'e}el; filigrane; indexation
video; analyse image; authentification; codage
vid{\'e}o; codage image; algorithme traitement image.",
tableofcontents = "Vol. 1, Speech processing, neural networks for
signal processing \\
Vol. 2, Signal processing theory and methods, audio and
electro-acoustics, multimedia signal processing \\
Vol. 3, Signal processing for communications, sensor
array and multichannel signal processing, design and
implementation of signal processing systems \\
Vol. 4, Image and multidimensional signal processing,
industry technology tracks, special sessions, signal
processing education, student forum (all areas)",
}
@Book{Stewart:2010:GWS,
editor = "G. W. (Gilbert W.) Stewart and Misha Elena Kilmer and
Dianne P. O'Leary",
booktitle = "{G. W. Stewart}: selected works with commentaries",
title = "{G. W. Stewart}: selected works with commentaries",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xii + 729",
year = "2010",
DOI = "http://dx.doi.org/10.1007/978-0-8176-4968-5",
ISBN = "0-8176-4967-0 (hardcover), 0-8176-4968-9 (e-book)",
ISBN-13 = "978-0-8176-4967-8 (hardcover), 978-0-8176-4968-5
(e-book)",
LCCN = "QA188 .S74 2010",
bibdate = "Wed May 28 12:51:20 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
series = "Contemporary mathematicians",
acknowledgement = ack-nhfb,
remark = "Published in honor of his 70th birthday, this volume
explores and celebrates the work of G. W. (Pete)
Stewart, a world-renowned expert in computational
linear algebra. This volume includes: forty-four of
Stewart's most influential research papers in two
subject areas: matrix algorithms, and rounding and
perturbation theory; a biography of Stewart; a complete
list of his publications, students, and honors;
selected photographs; and commentaries on his works in
collaboration with leading experts in the field.
\booktitle{G. W. Stewart: Selected Works with
Commentaries} will appeal to graduate students,
practitioners.",
subject = "Stewart, G. W (Gilbert W.); Perturbation
(Mathematics); Matrices",
tableofcontents = "Cover \\
G. W. Stewart \\
Contents \\
Foreword \\
List of Contributors \\
Part I: G. W. Stewart \\
1. Biography of G. W. Stewart \\
2. Publications, Honors, and Students \\
2.1 Publications of G. W. Stewart \\
2.2 Major Honors of G. W. Stewart \\
2.3 Ph.D. Students of G. W. Stewart \\
Part II: Commentaries \\
3. Introduction to the Commentaries \\
4. Matrix Decompositions: Linpack and Beyond \\
4.1 The Linpack Project \\
4.2 Some Algorithmic Insights \\
4.3 The Triangular Matrices of Gaussian Elimination and
Related Decompositions \\
4.4 Solving Sylvester Equations \\
4.5 Perturbation Bounds for Matrix Factorizations \\
4.6 Rank Degeneracy \\
4.7 Pivoted $QR$ as an Alternative to SVD \\
4.8 Summary \\
5. Updating and Downdating Matrix Decompositions \\
5.1 Solving Nonlinear Systems of Equations \\
5.2 More General Update Formulas for $QR$ \\
5.3 Effects of Rounding Error on Downdating Cholesky
Factorizations \\
5.4 Stability of a Sequence of Updates and Downdates
\\
5.5 An Updating Algorithm for Subspace Tracking \\
5.6 From the $URV$ to the $ULV$ \\
5.7 Impact \\
6. Least Squares, Projections, and Pseudoinverses \\
6.1 Continuity of the Pseudoinverse \\
6.2 Perturbation Theory \\
6.3 Weighted Pseudoinverses \\
6.4 Impact \\
7. The Eigenproblem and Invariant Subspaces:
Perturbation Theory \\
7.1 Perturbation of Eigenvalues of General Matrices \\
7.2 Further Results for Hermitian Matrices \\
7.3 Stochastic Matrices \\
7.4 Graded Matrices \\
7.5 Rayleigh / Ritz Approximations \\
7.6 Powers of Matrices \\
7.7 Impact \\
8. The SVD, Eigenproblem, and Invariant Subspaces:
Algorithms \\
8.1 Who Invented Subspace Iteration? \\
8.2 Extracting Invariant Subspaces \\
8.3 Approximating the SVD \\
8.4 Impact \\
9. The Generalized Eigenproblem \\
9.1 Perturbation Theory \\
9.2 The $QZ$ Algorithm \\
9.3 Gershgorin's Theorem \\
9.4 Definite Pairs \\
10. Krylov Subspace Methods for the Eigenproblem \\
10.1 A Krylov / Schur Algorithm \\
10.2 Backward Error Analysis of Krylov Subspace Methods
\\
10.3 Adjusting the Rayleigh Quotient in Lanczos Methods
\\
10.4 Impact \\
11. Other Contributions \\
References \\
Index \\
Part III: Reprints \\
12 Papers on Matrix Decompositions \\
12.1 [GWS-B / 2] (with J. J. Dongarra, J. R. Bunch, and
C. B. Moler) Introduction from Linpack Users Guide \\
12.2 [GWS-J / 17] (with R. H. Bartels), ''Algorithm
432: Solution of the Matrix Equation $AX + XB = C$''
\\
12.3 [GWS-J / 32] ''The Economical Storage of Plane
Rotations'' \\
12.4 [GWS-J / 34] ''Perturbation Bounds for the $QR$
Factorization of a Matrix'' \\
12.5 [GWS-J / 42] (with A. K. Cline, C. B. Moler, and
J. H. Wilkinson), ''An Estimate for the Condition
Number of a Matrix'' \\
12.6 [GWS-J / 49] ''Rank Degeneracy'' \\
12.7 [GWS-J / 78] ''On the Perturbation of $LU$,
Cholesky, and $QR$ Factorizations'' \\
12.8 [GWS-J / 89] ''On Graded $QR$ Decompositions of
Products of Matrices'' \\
12.9 [GWS-J / 92] ''On the Perturbation of $LU$ and
Cholesky Factors'' \\
12.10 [GWS-J / 94] ''The Triangular Matrices of
Gaussian Elimination and Related Decompositions'' \\
12.11 [GWS-J / 103] ''Four Algorithms for the the [sic]
Efficient Computation of Truncated Pivoted $QR$
Approximations to a Sparse Matrix'' \\
12.12 GWS-J / 118 (with M. W. Berry and S. A. Pulatova)
''Algorithm 844: Computing Sparse Reduced-Rank
Approximations to Sparse Matrices'' \\
13 Papers on Updating and Downdating Matrix
Decompositions \\
14 Papers on Least Squares, Projections, and
Generalized Inverses \\
15 Papers on the Eigenproblem and Invariant Subspaces:
Perturbation Theory \\
16 Papers on the SVD, Eigenproblem and Invariant
Subspaces: Algorithms \\
17 Papers on the Generalized Eigenproblem \\
18 Papers on Krylov Subspace Methods for the
Eigenproblem",
xxnote = "TO DO: Find rest of truncated table of contents??",
}