@Preamble{
"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
}
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
@String{inst-UTK-CS = "Department of Computer Science, University
of Tennessee, Knoxville"}
@String{inst-UTK-CS:adr = "Knoxville, TN 37996, USA"}
@String{j-APL-QUOTE-QUAD = "APL Quote Quad"}
@String{j-BIT = "BIT"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-BULL-AMS-N-S = "Bulletin of the American Mathematical Society
(new series)"}
@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}
@String{j-J-COMP-PHYS = "J. Computational Physics"}
@String{j-J-MATH-SCI-NY-NY = "Journal of Mathematical Sciences (New York)"}
@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-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk tidskrift for
informationsbehandling"}
@String{j-NUM-MATH = "Num. Math"}
@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 J. Sci. Stat. Comp."}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user Verlag"}
@String{pub-BIRKHAUSER:adr = "Basel"}
@String{pub-CLARENDON = "Clarendon Press"}
@String{pub-CLARENDON:adr = "Oxford, UK"}
@String{pub-ELS = "Elsevier Science Publishers"}
@String{pub-ELS-NH = "Elsevier Science Publishers
(North-Holland)"}
@String{pub-ELS-NH:adr = "New York, NY, USA"}
@String{pub-ELS:adr = "Amsterdam, The Netherlands"}
@String{pub-PHYSICA-VERLAG = "Physica-Verlag"}
@String{pub-PHYSICA-VERLAG:adr = "Vienna, Austria"}
@String{pub-SIAM = "Society for Industrial and Applied
Mathematics"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SV = "Springer-Verlag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
@String{ser-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{ser-LNCS = "Lecture Notes in Computer Science"}
@Article{Ruhe:1966:APE,
author = "Axel Ruhe",
title = "{Algol} programming: Eigenvalues of a complex matrix
by the {$ Q R $}-method",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "6",
number = "4",
pages = "350--358",
month = jul,
year = "1966",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01966096",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:09 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=6&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=6&issue=4&spage=350",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:1966:ECM,
author = "Axel Ruhe",
title = "Eigenvalues of a complex matrix by the {$ Q R
$}-method",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "6",
number = "??",
pages = "350--358",
year = "1966",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
annote = "Journal covers lost in University of Utah Marriott
Library binding, so issue number is indeterminate.",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:1967:QCJ,
author = "Axel Ruhe",
title = "On the Quadratic Convergence of the {Jacobi} Method
for Normal Matrices",
journal = j-BIT,
volume = "7",
number = "4",
pages = "305--313",
year = "1967",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Nov 14 09:14:57 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:1968:QCG,
author = "Axel Ruhe",
title = "On the Quadratic Convergence of a Generalization of
the {Jacobi} Method to Arbitrary Matrices",
journal = j-BIT,
volume = "8",
number = "3",
pages = "210--231",
year = "1968",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Nov 14 09:14:57 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:1969:NMA,
author = "Axel Ruhe",
title = "The Norm of a Matrix after a Similarity
Transformation",
journal = j-BIT,
volume = "9",
number = "1",
pages = "53--58",
year = "1969",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Nov 14 09:14:57 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@PhdThesis{Ruhe:1970:ANA,
author = "A. Ruhe",
title = "Algorithms for the nonsymmetric algebraic eigenvalue
problem",
type = "{Ph.D.} thesis",
school = "Lund University",
address = "Lund, Sweden",
year = "1970",
bibdate = "Fri Sep 1 08:03:24 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Ruhe:1970:AND,
author = "Axel Ruhe",
title = "An Algorithm for Numerical Determination of the
Structure of a General Matrix",
journal = j-BIT,
volume = "10",
number = "2",
pages = "196--216",
year = "1970",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Nov 14 09:14:57 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:1970:PBM,
author = "Axel Ruhe",
title = "Perturbation Bounds for Means of Eigenvalues and
Invariant Subspaces",
journal = j-BIT,
volume = "10",
number = "3",
pages = "343--354",
year = "1970",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Nov 14 09:14:57 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:1970:PMV,
author = "A. Ruhe",
title = "Properties of a matrix with a very ill-conditioned
eigenproblem",
journal = j-NUM-MATH,
volume = "15",
pages = "57--60",
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Fri Sep 1 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Ruhe:1972:MCG,
author = "Axel Ruhe and T. Wiberg",
title = "The method of conjugate gradients used in inverse
iteration",
journal = j-BIT,
volume = "12",
number = "4",
pages = "543--554",
year = "1972",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Fri Nov 13 11:51:02 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:1973:ANE,
author = "Axel Ruhe",
title = "Algorithms for the Nonlinear Eigenvalue Problem",
journal = j-SIAM-J-NUMER-ANAL,
volume = "10",
number = "4",
pages = "674--689",
month = sep,
year = "1973",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InProceedings{Ruhe:1974:IEA,
author = "A. Ruhe",
editor = "L. Collatz and K. P. Hadeler",
booktitle = "Eigenwertprobleme, ISNM 24",
title = "Iterative eigenvalue algorithms for large symmetric
matrices",
volume = "24",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "97--115",
year = "1974",
bibdate = "Fri Sep 01 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@TechReport{Ruhe:1974:NCP,
author = "A. Ruhe",
title = "Numerical computation of principal components when
several observations are missing",
volume = "48",
institution = "UMINF-48",
publisher = "Ume{\aa} Universitet",
address = "Ume{\aa}, Sweden",
year = "1974",
bibdate = "Fri Sep 1 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Ruhe:1974:SME,
author = "A. Ruhe",
title = "{SOR}-methods for the eigenvalue problem of large
sparse matrices",
journal = j-MATH-COMPUT,
volume = "28",
pages = "695--710",
year = "1974",
bibdate = "Fri Sep 1 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Ruhe:1975:CES,
author = "A. Ruhe",
title = "On the closeness of eigenvalues and singular values
for almost normal matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "11",
number = "1",
pages = "87--93",
year = "1975",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Feb 16 18:49:00 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379575901196",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Ruhe:1975:IEA,
author = "A. Ruhe",
title = "Iterative eigenvalue algorithms based on convergent
splittings",
journal = j-J-COMP-PHYS,
volume = "19",
pages = "110--120",
year = "1975",
bibdate = "Fri Sep 1 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@InProceedings{Ruhe:1976:NMS,
author = "A. Ruhe",
editor = "V. A. Barker",
booktitle = "Sparse Matrix Techniques, Lect Notes Math 572",
title = "Numerical methods for the solution of large sparse
eigenvalue problems",
publisher = pub-SV,
address = pub-SV:adr,
pages = "130--184",
year = "1976",
bibdate = "Fri Sep 01 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Ruhe:1977:CEE,
author = "Axel Ruhe",
title = "Computation of eigenvalues and eigenvectors",
journal = j-LECT-NOTES-MATH,
volume = "572",
pages = "130--184",
year = "1977",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0116617",
ISBN = "3-540-08130-5 (print), 3-540-37430-2 (e-book)",
ISBN-13 = "978-3-540-08130-2 (print), 978-3-540-37430-5
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "65F15",
MRnumber = "0440891 (55 \#13759)",
MRreviewer = "Colette Lebaud",
bibdate = "Fri May 9 19:07:56 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1975.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0116617/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0116611",
book-URL = "http://www.springerlink.com/content/978-3-540-37430-5",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Ruhe:1978:NCM,
author = "A. Ruhe and B. K{\aa}gstrom",
title = "Numerical Computation of Matrix Functions",
journal = j-SIAM-REVIEW,
volume = "20",
number = "3",
pages = "634--634",
month = "????",
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Fri Jun 21 11:25:02 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Ruhe:1979:AGN,
author = "Axel Ruhe",
title = "Accelerated {Gauss--Newton} Algorithms for Nonlinear
Least Squares Problems",
journal = j-BIT,
volume = "19",
number = "3",
pages = "356--367",
year = "1979",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D10",
MRnumber = "83e:65034",
bibdate = "Thu Nov 12 18:12:56 MST 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:1979:IAB,
author = "A. Ruhe",
title = "Implementation Aspects of Band {Lanczos} Algorithms
for Computation of Eigenvalues of Large Sparse
Symmetric Matrices",
journal = j-MATH-COMPUT,
volume = "33",
pages = "680--687",
year = "1979",
bibdate = "Fri Sep 1 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@TechReport{Ruhe:1979:UES,
author = "A. Ruhe",
title = "A universal elimination scheme for generalized linear
least squares problems with equality constraints",
volume = "UMINF",
institution = "UMINF-74",
year = "1979",
bibdate = "Fri Sep 1 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Ericsson:1980:STL,
author = "T. Ericsson and A. Ruhe",
title = "The spectral Transformation {Lanczos} method for the
numerical solution of large sparse generalized
symmetric eigenvalue problems",
journal = j-MATH-COMPUT,
volume = "35",
pages = "1251--1268",
year = "1980",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Kaagstroem:1980:AJA,
author = "Bo K{\aa{}}gstr{\"o}m and Axel Ruhe",
title = "Algorithm 560: {JNF}, An Algorithm for Numerical
Computation of the {Jordan} Normal Form of a Complex
Matrix [{F2}]",
journal = j-TOMS,
volume = "6",
number = "3",
pages = "437--443",
month = sep,
year = "1980",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sat Aug 27 15:16:29 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Jordan normal form, canonical form, eigenvalues,
eigenvectors, principal vectors, block diagonal form,
nla, eig, Jordan form, software",
}
@Article{Kaagstroem:1980:ANC,
author = "Bo K{\aa}gstr{\"o}m and Axel Ruhe",
title = "An Algorithm for Numerical Computation of the {Jordan}
Normal Form of a Complex Matrix",
journal = j-TOMS,
volume = "6",
number = "3",
pages = "398--419",
month = sep,
year = "1980",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Fri Aug 26 23:38:10 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
keywords = "Jordan normal form, canonical form, eigenvalues,
numerical multiple eigenvalues, eigenvectors, principal
vectors, block diagonal form, nla, eig, Jordan form,
software",
}
@Article{Ruhe:1980:ASN,
author = "Axel Ruhe and Per {\AA}ke Wedin",
title = "Algorithms for Separable Nonlinear Least Squares
Problems",
journal = j-SIAM-REVIEW,
volume = "22",
number = "3",
pages = "318--337",
month = jul,
year = "1980",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1022057",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "90C30",
MRnumber = "82a:90148",
MRreviewer = "Nobuo Sannomiya",
bibdate = "Sat Mar 29 09:53:11 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/22/3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1980",
}
@Article{Ruhe:1980:EAE,
author = "A. Ruhe",
title = "Eigenvalues in an {APL} environment, an algorithm
based on {Rayleigh} Quotient Iteration",
journal = j-APL-QUOTE-QUAD,
volume = "10",
number = "3",
pages = "29--30",
year = "1980",
CODEN = "APLQD9",
ISSN = "0163-6006 (print), 1558-3392 (electronic)",
ISSN-L = "0163-6006",
bibdate = "Fri Sep 1 08:03:48 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "APL Quote Quad",
}
@Article{Ruhe:1980:FEDa,
author = "A. Ruhe",
title = "Fitting empirical data by positive sums of
exponentials",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
pages = "481--498",
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Fri Sep 1 08:03:49 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
}
@InProceedings{Ruhe:1980:FEDb,
author = "A. Ruhe",
editor = "M. M. Barritt and D. Wishart",
booktitle = "COMPSTAT 1980: proceedings in computational
statistics; 4th symposium held at Edinburgh 1980",
title = "Fitting empirical data by positive sums of
exponentials",
publisher = pub-PHYSICA-VERLAG,
address = pub-PHYSICA-VERLAG:adr,
pages = "622--628",
year = "1980",
ISBN = "3-7908-0229-8",
ISBN-13 = "978-3-7908-0229-0",
LCCN = "QA276.4 .C195.1980",
bibdate = "Fri Sep 01 08:03:49 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Ruhe:1980:RBJ,
author = "Axel Ruhe",
title = "The Relation Between the {Jacobi} Algorithm and
Inverse Iteration and a {Jacobi} Algorithm Based on
Elementary Reflections",
journal = j-BIT,
volume = "20",
number = "1",
pages = "88--96",
year = "1980",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65F15",
MRnumber = "82e:65040",
MRreviewer = "V. L. Makarov",
bibdate = "Thu Nov 12 18:12:56 MST 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@TechReport{Ericsson:1982:SSP,
author = "Thomas Ericsson and Axel Ruhe",
title = "{STLM} --- a software package for the Spectral
Transformation {Lanczos} algorithm",
institution = "UMINF-101",
pages = "1--32",
year = "1982",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@TechReport{Ruhe:1982:MSL,
author = "A. Ruhe",
title = "Mathematical Software for Linear Algebra
Computations",
institution = "UMINF-95",
pages = "1--15",
year = "1982",
bibdate = "Fri Sep 1 08:03:49 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Ruhe:1983:NAG,
author = "Axel Ruhe",
title = "Numerical Aspects of {Gram--Schmidt} Orthogonalization
of Vectors",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "52/53",
pages = "591--601",
year = "1983",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Ruhe:1983:TSA,
author = "Axel Ruhe",
title = "The two-sided {Arnoldi} algorithm for nonsymmetric
eigenvalue problems",
journal = j-LECT-NOTES-MATH,
volume = "973",
pages = "104--120",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0062097",
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 = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0062097/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0062089",
book-URL = "http://www.springerlink.com/content/978-3-540-39447-1",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Ruhe:1984:RKS,
author = "Axel Ruhe",
title = "Rational {Krylov} Sequence Methods for Eigenvalue
Computation",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "58",
pages = "391--405",
year = "1984",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Fri Nov 11 16:38:50 MST 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Wold:1984:CPL,
author = "S. Wold and A. Ruhe and H. Wold and W. J. Dunn",
title = "The collinearity problem in linear regression. The
partial least squares ({PLS}) approach to generalized
inverses",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
pages = "735--743",
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
}
@InProceedings{Zhou:1986:NPF,
author = "Yong Feng Zhou and Axel Ruhe",
editor = "J. Cullum and R. A. Willoughby",
booktitle = "Large Scale Eigenvalue Problems",
title = "Numerical path following and eigenvalue criteria for
branch switching",
publisher = pub-ELS-NH,
address = pub-ELS-NH:adr,
pages = "121--142",
year = "1986",
bibdate = "Fri Nov 11 16:38:50 MST 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@InProceedings{Andersson:1987:CFC,
author = "L. Andersson and K. Holmstr{\"o}m and A. Ruhe",
title = "Complex formation constants --- a problem from
solution chemistry",
crossref = "Mason:1987:AAB",
pages = "557--572",
year = "1987",
bibdate = "Fri Nov 11 16:38:50 MST 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@Article{Ericsson:1987:LAF,
author = "Thomas Ericsson and Axel Ruhe",
title = "{Lanczos} Algorithms and Field of Value Rotations for
Symmetric Matrix Pencils",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "88/89",
pages = "733--746",
year = "1987",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Ruhe:1987:CNM,
author = "Axel Ruhe",
title = "Closest normal matrix finally found!",
journal = j-BIT,
volume = "27",
number = "4",
pages = "585--598",
year = "1987",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65F35 (15A60)",
MRnumber = "89f:65049",
MRreviewer = "Robert Beauwens",
bibdate = "Thu Nov 12 18:12:56 MST 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Golub:1990:DVK,
author = "Gene Golub and Bo K{\aa}gstr{\"o}m and Axel Ruhe and
Paul {Van Dooren}",
title = "Dedication to {Vera N. Kublanovskaya} on her 70th
Birthday",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "11",
number = "4",
pages = "vii--??",
month = oct,
year = "1990",
CODEN = "SJMAEL",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "01A70",
MRnumber = "91j:01043",
bibdate = "Fri Oct 17 06:15:04 2003",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
}
@Article{Huitfeldt:1990:NAN,
author = "Jacques Huitfeldt and Axel Ruhe",
title = "A new algorithm for numerical path following applied
to an example from hydrodynamical flow",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "11",
number = "6",
pages = "1181--1192",
year = "1990",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0911067",
ISSN = "0196-5204",
MRclass = "65H17 (76D99 76M25)",
MRnumber = "1068504 (91j:65095)",
MRreviewer = "Fu Ming Ma",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
fjournal = "Society for Industrial and Applied Mathematics.
Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
}
@InProceedings{Ruhe:1990:SER,
author = "Axel Ruhe",
editor = "Bo K{\aa}gstr{\"o}m",
booktitle = "Visualization and analysis of scientific and technical
computations on high-performance computers",
title = "Showing eigenvalues on the {Riemann} sphere",
publisher = "University of Ume\aa, Report UMINF-191.90",
pages = "136--141",
year = "1990",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
}
@InProceedings{Ruhe:1993:RKA,
author = "Axel Ruhe",
booktitle = "{92 Shanghai International Numerical Algebra and its
applications Conference, Fudan University, Shanghai,
October 26--30, 1992, to appear}",
title = "The Rational {Krylov} algorithm for Generalized
Eigenvalue problems",
publisher = "????",
address = "????",
year = "1993",
bibdate = "Tue Aug 24 22:55:33 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
}
@Article{Ruhe:1994:CEF,
author = "Axel Ruhe",
title = "{Carl-Erik Fr{\"o}berg on his 75th birthday June 23,
1993}",
journal = j-BIT,
volume = "34",
number = "1",
pages = "i--ii",
month = mar,
year = "1994",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01935012",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "01A70 (Biographies, obituaries, personalia,
bibliographies), 01A65 (Development of contemporary
mathematics)",
MRnumber = "1 429 684",
bibdate = "Wed Jan 4 18:52:23 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=34&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.mai.liu.se/BIT/contents/bit34.html;
http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=34&issue=1&spage=??",
ZMnumber = "0810.01008",
acknowledgement = ack-nhfb,
classmath = "01A70 (Biographies, obituaries, personalia,
bibliographies); 01A65 (Development of contemporary
mathematics)",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
keywords = "birthday",
}
@InCollection{Ruhe:1994:RKAa,
author = "Axel Ruhe",
title = "Rational {Krylov} algorithms for nonsymmetric
eigenvalue problems",
crossref = "Golub:1994:RAI",
pages = "149--164",
year = "1994",
MRclass = "65F15",
MRnumber = "1332748 (96a:65058)",
bibdate = "Tue Aug 24 22:44:41 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
ZMnumber = "0803.65045",
abstract = "The rational Krylov algorithm for the nonsymmetric
matrix pencil eigenvalue problem is described. It is a
generalization of the shifted and inverted Lanczos (or
Arnoldi) algorithm, in which several shifts are used in
one run. It computes an orthogonal basis and a small
Hessenberg pencil. The eigensolution of the Hessenberg
pencil, gives Ritz approximations to the solution of
the original pencil.\par
Rational Krylov is the natural alternative when
factorization of the matrix is not much more expensive
than solution, as e.g. when a multigrid algorithm is
used to solve systems.\par
In one variant several iterations with different shifts
are started on the same starting vector. Such
iterations can be performed in parallel, yielding a $p$
degree Krylov vector in one iteration on $p$
processors. An analogy to a method of experimentally
verifying stability of aircraft structures is
shown.\par
The algorithm is demonstrated on two applied test
problems.",
acknowledgement = ack-nhfb,
classmath = "65F15 (Eigenvalues, eigenvectors (numerical linear
algebra)); 65Y05 (Parallel computation (numerical
methods))",
keywords = "Arnoldi algorithm; Hessenberg pencil; Lanczos
algorithm; multigrid algorithm; nonsymmetric matrix
pencil eigenvalue problem; numerical examples; parallel
computation; rational Krylov algorithm; Ritz
approximations",
}
@Article{Ruhe:1994:RKAb,
author = "Axel Ruhe",
title = "Rational {Krylov} algorithms for nonsymmetric
eigenvalue problems. {II}. {Matrix} pairs",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "197/198",
pages = "283--295",
year = "1994",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(94)90492-8",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F15 (15A18)",
MRnumber = "1275619 (96d:65064)",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
note = "Second Conference of the International Linear Algebra
Society (ILAS) (Lisbon, 1992)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Ruhe:1994:RKAc,
author = "Axel Ruhe",
title = "The rational {Krylov} algorithm for nonsymmetric
eigenvalue problems. {III}: {Complex} shifts for real
matrices",
journal = j-BIT,
volume = "34",
number = "1",
pages = "165--176",
month = mar,
year = "1994",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01935024",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65F15",
MRnumber = "97m:65079",
bibdate = "Wed Jan 4 18:52:23 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=34&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.mai.liu.se/BIT/contents/bit34.html",
ZMnumber = "0810.65032",
abstract = "[For part II see Linear Algebra Appl. 197-198, 283-295
(1994; Zbl 0810.65031).]\par
A new algorithm for the computation of eigenvalues of a
nonsymmetric matrix pencil is described. It is a
generalization of the shifted and inverted Lanczos (or
Arnoldi) algorithm, in which several shifts are used in
one run. It computes an orthogonal basis and a small
Hessenberg pencil. The eigensolution of the Hessenberg
pencil gives Ritz approximations to the solution of the
original pencil. It is shown how complex shifts can be
used to compute a real block Hessenberg pencil to a
real matrix pair.\par
Two applications, one coming from an aircraft stability
problem and the other from a hydrodynamic bifurcation,
have been tested and results are reported.",
acknowledgement = ack-nhfb,
classmath = "65F15 (Eigenvalues, eigenvectors (numerical linear
algebra))",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
keywords = "Arnoldi algorithm; complex shifts; double shift;
inverse iteration; Lanczos algorithm; nonsymmetric
matrix pencil; rational Krylov algorithm; Ritz
approximations; small Hessenberg pencil",
}
@TechReport{Bai:1995:TLAa,
author = "Z. Bai and D. Day and J. Demmel and J. Dongarra and M.
Gu and A. Ruhe and H. van der Vorst",
title = "Templates for Linear Algebra Problems",
type = "LAPACK Working Note",
number = "106",
institution = inst-UTK-CS,
address = inst-UTK-CS:adr,
month = oct,
year = "1995",
bibdate = "Fri Apr 22 17:06:37 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
note = "UT-CS-95-311, October 1995.",
URL = "http://www.netlib.org/lapack/lawns/lawn106.ps;
http://www.netlib.org/lapack/lawnspdf/lawn106.pdf",
acknowledgement = ack-nhfb,
}
@Article{Ruhe:1995:BRP,
author = "Axel Ruhe",
title = "Book Review: Polynomial and matrix computations",
journal = j-BULL-AMS-N-S,
volume = "32",
number = "3",
pages = "357--360",
year = "1995",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0273-0979-1995-00597-5",
ISSN = "0273-0979 (print), 1088-9485 (electronic)",
ISSN-L = "0273-0979",
MRnumber = "1568184",
bibdate = "Wed Aug 25 16:21:53 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Society. Bulletin. New Series",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Ruhe:1996:CNE,
author = "Axel Ruhe",
title = "Computing nonlinear eigenvalues with spectral
transformation {Arnoldi}",
journal = j-Z-ANGE-MATH-MECH,
volume = "76",
pages = "17--20",
year = "1996",
CODEN = "ZAMMAX",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
MRclass = "65H17 (Eigenvalue and bifurcation problems of
nonlinear algebraic equations (numerical methods));
76B47 (Vortex flows)",
bibdate = "Tue Aug 24 22:44:39 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
ZMnumber = "0886.65055",
abstract = "The Arnoldi algorithm is applied to a linearization of
a nonlinear path following problem. A shift and invert
spectral transformation gives fast convergence to those
eigenvalues that predict turning points or bifurcations
along the path, in such points the matrix of partial
derivatives becomes singular. This approach is of
special utility for very large matrices coming from
systems with many degrees of freedom. The technique is
demonstrated on a discretization of a Taylor vortex
flow problem.",
acknowledgement = ack-nhfb,
classmath = "65H17 (Eigenvalue and bifurcation problems of
nonlinear algebraic equations (numerical methods));
76B47 (Vortex flows)",
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik}",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
keywords = "Arnoldi algorithm; bifurcations; convergence;
linearization; nonlinear eigenvalue problems; nonlinear
path following problem; spectral transformation; Taylor
vortex flow problem; turning points",
}
@Article{Ruhe:1998:RKA,
author = "Axel Ruhe and Daniel Skoogh",
title = "Rational {Krylov} Algorithms for Eigenvalue
Computation and Model Reduction",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1541",
pages = "491--502",
year = "1998",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
MRclass = "65F15",
MRnumber = "1727651",
bibdate = "Wed Sep 15 10:01:31 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
keywords = "applied parallel computing; computing science; PARA;
parallel computing",
}
@Article{Ruhe:1998:RKP,
author = "Axel Ruhe",
title = "Rational {Krylov}: a Practical Algorithm for Large
Sparse Nonsymmetric Matrix Pencils",
journal = j-SIAM-J-SCI-COMP,
volume = "19",
number = "5",
pages = "1535--1551",
month = sep,
year = "1998",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/S1064827595285597",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Fri Dec 4 14:47:53 MST 1998",
bibsource = "http://epubs.siam.org/toc/sjoce3/19/5;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/28559",
ZMnumber = "0914.65036",
abstract = "The paper gives a clear and comprehensive description
of a further development of the well-known
shift-and-invert Krylov methods. The idea is to use
several shifts instead of just one. Several
alternatives to compute approximate eigensolutions are
discussed. A further feature is to purge vectors from
the Krylov subspace when they do not contribute to the
desired eigensolutions. Two examples with moderate size
matrices are used to demonstrate the algorithms and
discuss their performance in considerable detail.",
acknowledgement = ack-nhfb,
classmath = "65F15 (Eigenvalues, eigenvectors (numerical linear
algebra)); 65F50 (Sparse matrices (numerical linear
algebra)); 15A22 (Matrix pencils)",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
keywords = "algorithms; Arnoldi method; Jacobi--Davidson method;
Krvlov subspace; Lanczos method; large sparse
nonsymmetric matrix pencils; numerical examples;
performance; shift-and-invert Krylov methods",
reviewer = "{H.Matthies (Braunschweig)}",
}
@Book{Bai:2000:TSA,
editor = "Zhaojun Bai and James Demmel and Jack Dongarra and
Axel Ruhe",
title = "Templates for the solution of algebraic eigenvalue
problems: a practical guide",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xxx + 410",
year = "2000",
ISBN = "0-89871-471-0 (paperback), 0-89871-958-5 (e-book)",
ISBN-13 = "978-0-89871-471-5 (paperback), 978-0-89871-958-1
(e-book)",
LCCN = "QA193 .T46 2000",
MRclass = "65F15 (Eigenvalues, eigenvectors (numerical linear
algebra)); 65F50 (Sparse matrices (numerical linear
algebra)); 65Y05 (Parallel computation (numerical
methods)); 00B15 (Collections of articles of
miscellaneous specific interest); 65-06 (Proceedings of
conferences (numerical analysis)) 65F35 (Matrix norms,
conditioning, scaling (numerical linear algebra));
65F20 (Overdetermined systems, pseudoinverses
(numerical linear algebra)); 65-02 (65F15)",
MRnumber = "MR1792141 (2001k:65003)",
MRreviewer = "Jesse L. Barlow",
bibdate = "Sat Dec 31 06:28:14 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
MathSciNet database",
note = "A practical guide.",
series = "Software, Environments, and Tools",
URL = "http://www.loc.gov/catdir/enhancements/fy0726/00059507-d.html;
http://www.loc.gov/catdir/enhancements/fy0726/00059507-t.html",
abstract = "The book is edited and written by well-known names in
the field and is an excellent guide to the numerical
solution of eigenvalue problems. It presents the many
available methods in an organized fashion.\par
Chapter 1 is introductory. Chapter 2 provides the top
level of a decision tree for classifying eigenvalue
problems and their corresponding numerical methods.
Chapter 3 summarizes the two mathematical principles
used by most algorithms for large eigenvalue problems:
projection onto subspaces and spectral
transformations.\par
Chapters 4 through 9 give details for each of the six
categories of eigenvalue problems: Hermitian,
generalized Hermitian, non-Hermitian, generalized
non-Hermitian, and nonlinear eigenvalue problems, and
the singular value decomposition. The descriptions
include algorithm templates and pointers to available
software. Chapter 10 describes common isues of sparse
matrix representation and computation, both
sequentially and in parallel, shared by all algorithms.
Chapter 11 describes some preconditioning techniques
that are subject of current research.\par
The subjects not covered by the book are referenced for
the interested reader.",
acknowledgement = ack-nhfb,
keywords = "Algebraic eigenvalue problems; algorithms; nonlinear
eigenvalue problems; parallel computation;
preconditioning; projection methods; singular value
decomposition; software; spectral transformations;
templates; textbook",
reviewer = "Plamen Yordanov Yalamov (Russe)",
subject = "Eigenvalues; Data processing",
summary = "Large-scale problems of engineering and scientific
computing often require solutions of eigenvalue and
related problems. This book gives a unified overview of
theory, algorithms, and practical software for
eigenvalue problems. It organizes this large body of
material to make it accessible for the first time to
the many nonexpert users who need to choose the best
state-of-the-art algorithms and software for their
problems. Using an informal decision tree, just enough
theory is introduced to identify the relevant
mathematical structure that determines the best
algorithm for each problem.",
tableofcontents = "List of symbols and acronyms \\
List of iterative algorithm templates \\
List of direct algorithms \\
List of figures \\
List of tables \\
1. Introduction \\
2. A brief tour of eigenproblems \\
3. an introduction to iterative projection methods \\
4. Hermitian eigenvalue problems \\
5. Generalized hermitian eigenvalue problems \\
6. Singular value decomposition \\
7. Non-hermitian eigenvalue problems \\
8. Generalized non-hermitian eigenvalue problems \\
9. Nonlinear eigenvalue problems \\
10. Common issues \\
11. Preconditioning techniques \\
Appendix. Of things not treated \\
Bibliography \\
Index",
}
@Article{Ruhe:2000:RKAa,
author = "Axel Ruhe",
title = "A rational {Krylov} algorithm for nonlinear matrix
eigenvalue problems",
journal = "Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst.
Steklov. (POMI)",
volume = "268",
number = "Chisl. Metody i Vopr. Organ. Vychisl. 14",
pages = "176--180, 245--246",
year = "2000",
DOI = "https://doi.org/10.1023/A:1022414805217",
ISSN = "0373-2703",
MRclass = "65F15 (15A18)",
MRnumber = "1795855 (2001j:65067)",
MRreviewer = "J. Segethov{\'a}",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
note = "English translation in \booktitle{Journal of
Mathematical Sciences}, {\bf 114}(6), 1854--1856 (April
2003).",
fjournal = "Rossi\u\i skaya Akademiya Nauk. Sankt-Peterburgskoe
Otdelenie. Matematicheski\u\i\ Institut im. V. A.
Steklova. Zapiski Nauchnykh Seminarov (POMI)",
journal-URL = "http://link.springer.com/journal/10958",
}
@Article{Ruhe:2000:RKAb,
author = "A. Ruhe",
title = "The rational {Krylov} algorithm for nonlinear matrix
eigenvalue problems",
journal = j-J-MATH-SCI-NY-NY,
volume = "114",
number = "6",
pages = "1854--1856",
year = "2000",
CODEN = "JMTSEW",
DOI = "https://doi.org/10.1023/A:1022414805217",
ISSN = "1072-3374 (print), 1573-8795 (electronic)",
ISSN-L = "1072-3374",
MRnumber = "65F15 15A18",
bibdate = "Tue Sep 29 10:51:46 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://link.springer.com/article/10.1023/A:1022414805217",
ZMnumber = "1029.65035",
acknowledgement = ack-nhfb,
fjournal = "{Journal of Mathematical Sciences (New York)}",
journal-URL = "http://link.springer.com/journal/10958",
}
@InCollection{Blom:2001:IRU,
author = "Katarina Blom and Axel Ruhe",
editor = "Michael W. Berry",
booktitle = "Computational information retrieval. Proceedings of
the conference CIR '00, University of North Carolina,
Raleigh, NC, USA, October 22, 2000",
title = "Information retrieval using very short {Krylov}
sequences",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "39--52",
year = "2001",
MRclass = "68P20 (Information storage and retrieval)",
MRnumber = "1861813",
bibdate = "Tue Aug 24 22:44:42 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
ZMnumber = "0995.68504",
acknowledgement = ack-nhfb,
}
@Article{Barlow:2002:P,
author = "Jesse L. Barlow and Michael W. Berry and Axel Ruhe and
Hongyuan Zha",
title = "Preface",
journal = j-COMPUT-STAT-DATA-ANAL,
volume = "41",
number = "1",
pages = "1--2",
day = "28",
month = nov,
year = "2002",
CODEN = "CSDADW",
ISSN = "0167-9473 (print), 1872-7352 (electronic)",
ISSN-L = "0167-9473",
bibdate = "Fri Feb 6 11:41:11 MST 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/computstatdataanal2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0167947302002049",
acknowledgement = ack-nhfb,
fjournal = "Computational Statistics \& Data Analysis",
journal-URL = "http://www.sciencedirect.com/science/journal/01679473",
}
@Article{Ruhe:2003:Ea,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "43",
number = "1",
pages = "v--viii",
month = mar,
year = "2003",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1023664202042",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 15:06:05 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=43&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib; OCLC
Article1st database",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=43&issue=1&spage=??",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2003:Eb,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "43",
number = "2",
pages = "iii--iii",
month = jun,
year = "2003",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1026052827056",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 15:06:05 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=43&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib; OCLC
Article1st database",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=43&issue=2&spage=??",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2004:ICI,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 44:4",
journal = j-BIT-NUM-MATH,
volume = "44",
number = "4",
pages = "5--5",
month = dec,
year = "2004",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-004-6755-6",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 15:06:06 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=44&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=44&issue=4&spage=5",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Blom:2005:KSM,
author = "Katarina Blom and Axel Ruhe",
title = "A {Krylov} subspace method for information retrieval",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "26",
number = "2",
pages = "566--582",
year = "2005",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/S0895479803392261",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "68P20 (Information storage and retrieval); 65F15
(Eigenvalues, eigenvectors (numerical linear algebra));
65F20 (Overdetermined systems, pseudoinverses
(numerical linear algebra))",
MRnumber = "2124404 (2006a:68026)",
MRreviewer = "Jean-Marie Chesneaux",
bibdate = "Tue Aug 24 22:44:42 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/26/2;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/39226",
ZMnumber = "1101.68024",
abstract = "A new algorithm for information retrieval is
described. It is a vector space method with automatic
query expansion. The original user query is projected
onto a Krylov subspace generated by the query and the
term-document matrix. Each dimension of the Krylov
space is generated by a simple vector space search,
using first the user query and then new queries
generated by the algorithm and orthogonal to the
previous query vectors.\par
The new algorithm is closely related to latent semantic
indexing (LSI), but it is a local algorithm that works
on a new subspace of very low dimension for each query.
This makes it faster and more flexible than LSI. No
preliminary computation of the singular value
decomposition (SVD) is needed, and changes in the data
base cause no complication.\par
Numerical tests on both small (Cranfield) and larger
(Financial Times data from the TREC collection) data
sets are reported. The new algorithm gives better
precision at given recall levels than simple vector
space and LSI in those cases that have been compared.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
keywords = "information retrieval; Krylov subspace; Lanczos
algorithm; latent semantic indexing; query expansion;
singular value decomposition; vector space model",
}
@Article{Ruhe:2005:ICIa,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 45:1",
journal = j-BIT-NUM-MATH,
volume = "45",
number = "1",
pages = "??--??",
month = mar,
year = "2005",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-005-7117-8",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 15:06:06 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=45&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=45&issue=1&spage=??",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2005:ICIb,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 45:2",
journal = j-BIT-NUM-MATH,
volume = "45",
number = "2",
pages = "??--??",
month = jun,
year = "2005",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-005-0007-2",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 15:06:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=45&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=45&issue=2&spage=??",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2005:ICIc,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 45:3",
journal = j-BIT-NUM-MATH,
volume = "45",
number = "3",
pages = "??--??",
month = sep,
year = "2005",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-005-0024-1",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 15:06:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=45&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=45&issue=3&spage=??",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2005:ICId,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 45:4",
journal = j-BIT-NUM-MATH,
volume = "45",
number = "4",
pages = "vii--vii",
month = dec,
year = "2005",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-005-0038-8",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 15:06:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=45&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=45&issue=4&spage=??",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Olsson:2006:RKE,
author = "K. Henrik A. Olsson and Axel Ruhe",
title = "Rational {Krylov} for eigenvalue computation and model
order reduction",
journal = j-BIT-NUM-MATH,
volume = "46",
number = "S-1",
pages = "99--111",
month = nov,
year = "2006",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-006-0085-9",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
MRclass = "65F15 (Eigenvalues, eigenvectors (numerical linear
algebra)); 65F50 (Sparse matrices (numerical linear
algebra)); 93A30 (Mathematical modelling of systems)",
MRnumber = "2281402 (2007k:93055)",
MRreviewer = "Jenn-Nan Wang",
bibdate = "Tue Aug 24 22:44:42 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
ZMnumber = "1105.65036",
abstract = "A rational Krylov algorithm for eigenvalue computation
and model order reduction is described. It is shown how
to implement it as a modified shift-and-invert spectral
transformation Arnoldi decomposition. It is shown how
to do deflation, locking converged eigenvalues and
purging irrelevant approximations. Computing reduced
order models of linear dynamical systems by moment
matching of the transfer function is
considered.\par
Results are reported from one illustrative toy example
and one practical example, a linear descriptor system
from a computational fluid dynamics application.",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
keywords = "Arnoldi decomposition; numerical examples; rational
Krylov algorithm; shift-and-invert spectral
transformation",
}
@Article{Ruhe:2006:E,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "46",
number = "4",
pages = "685--686",
month = dec,
year = "2006",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-006-0107-7",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Oct 31 11:37:27 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2006:ICIa,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 46:1",
journal = j-BIT-NUM-MATH,
volume = "46",
number = "1",
pages = "3--3",
month = mar,
year = "2006",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-006-0051-6",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Oct 31 11:37:27 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2006:ICIb,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 46:4",
journal = j-BIT-NUM-MATH,
volume = "46",
number = "4",
pages = "687--688",
month = dec,
year = "2006",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-006-0108-6",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Oct 31 11:37:27 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2006:P,
author = "Axel Ruhe",
title = "Preface",
journal = j-BIT-NUM-MATH,
volume = "46",
number = "1",
pages = "1--1",
month = mar,
year = "2006",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-006-0050-7",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Oct 31 11:37:27 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2007:Ea,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "47",
number = "3",
pages = "483--483",
month = sep,
year = "2007",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-007-0148-6",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jul 9 09:02:43 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=47&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=47&issue=3&spage=483",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2007:Eb,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "47",
number = "4",
pages = "693--695",
month = dec,
year = "2007",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-007-0155-7",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jul 9 09:02:43 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=47&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=47&issue=4&spage=693",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2007:ICIa,
author = "Axel Ruhe",
title = "Introduction to the {Contents} of {Issue} 47:2",
journal = j-BIT-NUM-MATH,
volume = "47",
number = "2",
pages = "239--240",
month = jun,
year = "2007",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-007-0136-x",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jul 9 09:02:43 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=47&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=47&issue=2&spage=239",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2007:ICIb,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 47:3",
journal = j-BIT-NUM-MATH,
volume = "47",
number = "3",
pages = "485--486",
month = sep,
year = "2007",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-007-0149-5",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jul 9 09:02:43 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=47&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=47&issue=3&spage=485",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2007:ICIc,
author = "Axel Ruhe",
title = "Introduction to the {Contents} of {Issue} 47:4",
journal = j-BIT-NUM-MATH,
volume = "47",
number = "4",
pages = "697--697",
month = dec,
year = "2007",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-007-0156-6",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jul 9 09:02:43 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=47&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=47&issue=4&spage=697",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2007:PIC,
author = "Axel Ruhe",
title = "Preface and Introduction to the Contents of Issue
47:1",
journal = j-BIT-NUM-MATH,
volume = "47",
number = "1",
pages = "1--2",
month = mar,
year = "2007",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-007-0126-z",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jul 9 09:02:42 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=47&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=47&issue=1&spage=1",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2008:EGH,
author = "Axel Ruhe",
title = "Editorial: {Gene Howard Golub} in memoriam",
journal = j-BIT-NUM-MATH,
volume = "48",
number = "1",
pages = "1--2",
month = mar,
year = "2008",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-008-0165-0",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jul 9 09:02:44 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=48&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=48&issue=1&spage=1",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2008:ICIa,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 48:1",
journal = j-BIT-NUM-MATH,
volume = "48",
number = "1",
pages = "3--3",
month = mar,
year = "2008",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-008-0166-z",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
MRclass = "65-06",
MRnumber = "2386111",
bibdate = "Wed Jul 9 09:02:44 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=48&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=48&issue=1&spage=3",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2008:ICIb,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 48:3",
journal = j-BIT-NUM-MATH,
volume = "48",
number = "3",
pages = "423--424",
month = sep,
year = "2008",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Mon May 24 15:36:38 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=48&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=48&issue=3&spage=423",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2008:ICIc,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 48:4",
journal = j-BIT-NUM-MATH,
volume = "48",
number = "4",
pages = "649--650",
month = dec,
year = "2008",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Mon May 24 15:36:40 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=48&issue=4;
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URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=48&issue=4&spage=649",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2009:CV,
author = "Axel Ruhe",
title = "Collaborators for volume 49",
journal = j-BIT-NUM-MATH,
volume = "49",
number = "4",
pages = "641--643",
month = dec,
year = "2009",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Mon May 24 15:36:47 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=49&issue=4;
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URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=49&issue=4&spage=641",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2009:ICIa,
author = "Axel Ruhe",
title = "Introduction to the contents of issue 49:2",
journal = j-BIT-NUM-MATH,
volume = "49",
number = "2",
pages = "247--248",
month = jun,
year = "2009",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
MRclass = "65-06",
MRnumber = "2507600",
bibdate = "Mon May 24 15:36:43 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=49&issue=2;
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URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=49&issue=2&spage=247",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2009:ICIb,
author = "Axel Ruhe",
title = "Introduction to the Contents of Issue 49:3",
journal = j-BIT-NUM-MATH,
volume = "49",
number = "3",
pages = "475--476",
month = sep,
year = "2009",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Mon May 24 15:36:45 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=49&issue=3;
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URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=49&issue=3&spage=475",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2009:PIC,
author = "Axel Ruhe",
title = "Preface and Introduction to the Contents of Issue
49:1",
journal = j-BIT-NUM-MATH,
volume = "49",
number = "1",
pages = "1--2",
month = mar,
year = "2009",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
MRclass = "65-06",
MRnumber = "2486125",
bibdate = "Mon May 24 15:36:41 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=49&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=49&issue=1&spage=1",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2010:Ea,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "50",
number = "3",
pages = "451--453",
month = sep,
year = "2010",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "01A90",
MRnumber = "2719823",
bibdate = "Mon Aug 29 17:23:05 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=50&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=50&issue=3&spage=451",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2010:Eb,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "50",
number = "4",
pages = "689--692",
month = dec,
year = "2010",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Mon Aug 29 17:23:06 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=50&issue=4;
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URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=50&issue=4&spage=689",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2010:ICIa,
author = "Axel Ruhe",
title = "Introduction to the contents of issue 50:1",
journal = j-BIT-NUM-MATH,
volume = "50",
number = "1",
pages = "1--2",
month = mar,
year = "2010",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Mon May 24 15:36:48 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=50&issue=1;
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URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=50&issue=1&spage=1",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2010:ICIb,
author = "Axel Ruhe",
title = "Introduction to the contents of issue 50:2",
journal = j-BIT-NUM-MATH,
volume = "50",
number = "2",
pages = "221--222",
month = jun,
year = "2010",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Mon May 24 15:36:50 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=50&issue=2;
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URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=50&issue=2&spage=221",
acknowledgement = ack-nhfb,
fjournal = "BIT. Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2010:RKR,
author = "Axel Ruhe",
title = "Rational {Krylov} for real pencils with complex
eigenvalues",
journal = "Taiwanese Journal of Mathematics",
volume = "14",
number = "3A",
pages = "795--803",
year = "2010",
ISSN = "1027-5487",
ISSN-L = "1027-5487",
MRclass = "65F15 (93B60)",
MRnumber = "2667717 (2011j:65084)",
MRreviewer = "T. R. Hopkins",
bibdate = "Sat Oct 1 08:28:27 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
acknowledgement = ack-nhfb,
ajournal = "Taiwanese J. Math.",
fjournal = "Taiwanese Journal of Mathematics",
}
@Article{Ruhe:2011:B,
author = "Axel Ruhe",
title = "{BIT50}",
journal = j-BIT-NUM-MATH,
volume = "51",
number = "1",
pages = "1--5",
month = mar,
year = "2011",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65-06 (01A70)",
MRnumber = "2784650",
bibdate = "Mon Aug 29 17:23:07 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=51&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=51&issue=1&spage=1",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2011:E,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "51",
number = "4",
pages = "777--780",
month = dec,
year = "2011",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Tue Dec 13 11:50:53 MST 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=51&issue=4;
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https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=51&issue=4&spage=777",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2011:ICIa,
author = "Axel Ruhe",
title = "Introduction to the contents of issue 51:2",
journal = j-BIT-NUM-MATH,
volume = "51",
number = "2",
pages = "251--252",
month = jun,
year = "2011",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Mon Aug 29 17:23:09 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=51&issue=2;
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URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=51&issue=2&spage=251",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2011:ICIb,
author = "Axel Ruhe",
title = "Introduction to the contents of issue 51:3",
journal = j-BIT-NUM-MATH,
volume = "51",
number = "3",
pages = "481--482",
month = sep,
year = "2011",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Thu Sep 29 07:09:05 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=51&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=51&issue=3&spage=481",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2012:E,
author = "Axel Ruhe",
title = "Editorial",
journal = j-BIT-NUM-MATH,
volume = "52",
number = "4",
pages = "797--800",
month = dec,
year = "2012",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-012-0408-y",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Mar 23 15:42:00 MDT 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=52&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-012-0408-y;
http://link.springer.com/content/pdf/10.1007/s10543-012-0408-y",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2012:ICIc,
author = "Axel Ruhe",
title = "Introduction to the contents of issue 52:2",
journal = j-BIT-NUM-MATH,
volume = "52",
number = "2",
pages = "271--272",
month = jun,
year = "2012",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Fri Oct 26 06:54:31 MDT 2012",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=52&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=52&issue=2&spage=271",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2012:ICId,
author = "Axel Ruhe",
title = "Introduction to the contents of issue 52:3",
journal = j-BIT-NUM-MATH,
volume = "52",
number = "3",
pages = "537--538",
month = sep,
year = "2012",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Fri Oct 26 06:54:44 MDT 2012",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=52&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=52&issue=3&spage=537",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2012:PB,
author = "Axel Ruhe",
title = "Preface to {BIT 52:1}",
journal = j-BIT-NUM-MATH,
volume = "52",
number = "1",
pages = "1--2",
month = mar,
year = "2012",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Mon Apr 9 17:00:06 MDT 2012",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=52&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=52&issue=1&spage=1",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2013:PBa,
author = "Axel Ruhe",
title = "Preface to {BIT 53:1}",
journal = j-BIT-NUM-MATH,
volume = "53",
number = "1",
pages = "1--2",
month = mar,
year = "2013",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-013-0427-3",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Mar 23 15:42:05 MDT 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=53&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-013-0427-3;
http://link.springer.com/content/pdf/10.1007/s10543-013-0427-3",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2013:PBb,
author = "Axel Ruhe",
title = "Preface to {BIT 53:2}",
journal = j-BIT-NUM-MATH,
volume = "53",
number = "2",
pages = "283--284",
month = jun,
year = "2013",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-013-0428-2",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Mon Jun 24 13:08:45 MDT 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=53&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-013-0428-2;
http://link.springer.com/content/pdf/10.1007/s10543-013-0428-2.pdf",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2013:PBc,
author = "Axel Ruhe",
title = "Preface to {BIT 53:3}",
journal = j-BIT-NUM-MATH,
volume = "53",
number = "3",
pages = "565--566",
month = sep,
year = "2013",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-013-0440-6",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Mon Dec 2 16:04:59 MST 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=53&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-013-0440-6;
http://link.springer.com/content/pdf/10.1007/s10543-013-0440-6.pdf",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2013:PBd,
author = "Axel Ruhe",
title = "Preface to {BIT 53:4}",
journal = j-BIT-NUM-MATH,
volume = "53",
number = "4",
pages = "821--825",
month = dec,
year = "2013",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-013-0456-y",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Mon Dec 2 16:05:03 MST 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=53&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-013-0456-y;
http://link.springer.com/content/pdf/10.1007/s10543-013-0456-y.pdf",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2014:P,
author = "Axel Ruhe",
title = "Preface to 54-3",
journal = j-BIT-NUM-MATH,
volume = "54",
number = "3",
pages = "585--586",
month = sep,
year = "2014",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-014-0518-9",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Thu Nov 6 10:44:26 MST 2014",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=54&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-014-0518-9;
http://link.springer.com/content/pdf/10.1007/s10543-014-0518-9.pdf",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2014:PBa,
author = "Axel Ruhe",
title = "Preface to {BIT 54:2}",
journal = j-BIT-NUM-MATH,
volume = "54",
number = "2",
pages = "303--304",
month = jun,
year = "2014",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-014-0504-2",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Tue Sep 9 14:22:19 MDT 2014",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=54&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-014-0504-2;
http://link.springer.com/content/pdf/10.1007/s10543-014-0504-2.pdf",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Ruhe:2014:PBb,
author = "Axel Ruhe",
title = "Preface to {BIT} 54:4",
journal = j-BIT-NUM-MATH,
volume = "54",
number = "4",
pages = "867--871",
month = dec,
year = "2014",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-014-0535-8",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Feb 14 08:20:56 MST 2015",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=54&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-014-0535-8;
http://link.springer.com/content/pdf/10.1007/s10543-014-0535-8.pdf",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Bjorck:2015:AR,
author = "{\AA}ke Bj{\"o}rck and Lars Eld{\'e}n",
title = "{Axel Ruhe} 1942--2015",
journal = j-BIT-NUM-MATH,
volume = "55",
number = "3",
pages = "621--623",
month = sep,
year = "2015",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-015-0579-4",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Tue Sep 29 10:21:31 MDT 2015",
bibsource = "http://link.springer.com/journal/10543/55/3;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://link.springer.com/article/10.1007/s10543-015-0579-4;
http://link.springer.com/content/pdf/10.1007/s10543-015-0579-4.pdf",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@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 = "https://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 = "https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://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",
}
@Proceedings{Mason:1987:AAB,
editor = "J. C. Mason and M. G. Cox",
booktitle = "{Algorithms for approximation: based on the
proceedings of the IMA Conference on Algorithms for the
Approximation of Functions and Data, held at the Royal
Military College of Science, Shrivenham, July 1985}",
title = "{Algorithms for approximation: based on the
proceedings of the IMA Conference on Algorithms for the
Approximation of Functions and Data, held at the Royal
Military College of Science, Shrivenham, July 1985}",
volume = "10",
publisher = pub-CLARENDON,
address = pub-CLARENDON:adr,
pages = "xvi + 694 + 8",
year = "1987",
ISBN = "0-19-853612-7",
ISBN-13 = "978-0-19-853612-3",
LCCN = "QA221 .A5361 1987; QA221 .I47 1985",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
z3950.loc.gov:7090/Voyager",
price = "US\$90",
series = "The Institute of Mathematics and Its Applications
conference series, new series",
acknowledgement = ack-nhfb,
bibno = "39820",
catcode = "G.1.2; G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Approximation; G.1.2
Elementary function approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation",
genterm = "theory; algorithms",
guideno = "1987-16080",
meetingname = "IMA Conference on Algorithms for the Approximation of
Functions and Data (1985: Royal Military College of
Science, Shrivenham)",
procdate = "The Institute of mathematics and its applications
conference series; 10 July 1985",
procloc = "Shrivenham, UK",
sub = "Proceedings of the IMA Conference on Algorithms for
the approximation of functions",
subject = "Approximation theory; Data processing; Congresses; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
tableofcontents = "Preface / v \\
Contributors / xiii \\
\\
I Development of Algorithms \\
\\
1. Spline Approximation and Smoothing \\
\\
G. T. Anthony and M. G. Cox / The fitting of extremely
large data sets by bivariate splines / 5 \\
W. Dahmen / Subdivision algorithms --- recent results,
some extensions and further developments / 21 \\
P. Dierckx / Fast algorithms for smoothing data over a
disc or a sphere using tensor product splines / 51 \\
T. Lyche and K. M{\o}rken / A discrete approach to knot
removal and degree reduction algorithms for splines /
67 \\
R. H. J. Gmelig Meyling / On algorithms and
applications for bivariate B-splines / 83 \\
\\
2. Spline Interpolation and Shape Preservation \\
\\
R. E. Carlson / Shape preserving interpolation / 97 \\
M. G. Cox and H. M. Jones / Shape preserving spline
approximation in the $\ell_1$-norm / 115 \\
J. A. Gregory / A review of curve interpolation with
shape control / 131 \\
\\
3. Multivariate Interpolation \\
\\
M. J. D. Powell / Radial basis functions for
multivariable interpolation: a review / 143 \\
R. A. Lorentz / On the determinant of a bivariate
Birkhoff interpolation problem / 169 \\
A. Le Mehaute / Interpolation with piecewise
polynomials in more than one variable / 181 \\
\\
4. Least Square Methods \\
\\
R. Farwig / Multivariate interpolation of scattered
data by moving least squares methods / 193 \\
F. Yoshimoto / Least squares approximation by one-pass
methods with piecewise polynomials / 213 \\
\\
5. Rational Approximation \\
\\
L. N. Trefethen and M. H. Gutknecht / Pad{\'e}, stable
Pad{\'e}, and Chebyshev--Pad{\'e} approximation / 227
\\
P. T. Breuer / A new method for real rational uniform
approximation / 265 \\
C. B. Dunham / Rationals with repeated poles / 285 \\
A. Iserles and S. P. N{\o}rsett / Error control of
rational approximation with a matrix argument / 293 \\
\\
6. Complex and Nonlinear Approximation \\
\\
K. Madsen / General algorithms for discrete non-linear
parameter estimation / 309 \\
G. Opfer / Complex rational approximation with
numerical experiments / 327 \\
G. A. Watson / Data fitting by positive sums of
exponentials / 337 \\
J. C. Mason and P. Owen / Some simple algorithms for
constrained complex and rational approximation / 357
\\
\\
7. Computer-Aided Design and Blending \\
\\
L. L. Schumaker / Numerical aspects of spaces of
piecewise polynomials on triangulations / 373 \\
M. V. Golitschek / The $H$-sets of the blending
functions / 407 \\
D. Levin / Multidimensional reconstruction by
set-valued approximations/ 421 \\
\\
II Applications \\
\\
8. Applications in Numerical Analysis \\
\\
H. P. Blatt, A, Iserles and E. B. Saff / Remarks on the
behaviour of zeros of best approximating polynomials
and rational functions / 437 \\
J. Gilbert and W. A. Light / Multigrid methods and the
alternating algorithm / 447 \\
K. Jetter and J. St{\"o}ckler / On the computation of
Gauss--Birkhoff quadrature formulas / 459 \\
E. Schock / Error bounds for the solution of integral
equations by Galerkin-like methods / 471 \\
N. M. Temme / On the computation of the incomplete
gamma functions for large values of the parameters /
479 \\
\\
9. Applications in Partial Differential Equations \\
\\
J. R. Rice / Adaptive tensor product grids for singular
problems / 493 \\
W. Freeden / Harmonic splines for solving boundary
value problems of potential theory / 507 \\
D. C. Hanscomb / Recovery of fluid flow fields / 531
\\
L. Reichel / The selection of subspace and collocation
points in the boundary collocation method for some
plane elliptic boundary problems / 541 \\
\\
10. Applications in Other Disciplines \\
\\
L. Andersson, K. Holmstr{\"o}m and A. Ruhe / Complex
formation constants --- a problem from solution
chemistry / 557 \\
D. E. Roberts and P. R. Graves-Morris / The application
of generalised inverse rational interpolants in the
model analysis of vibrating structures I / 573 \\
A. Daman and J. C. Mason / A generalised
cross-validation method for meteorological data with
gaps / 595 \\
K. P. Jackson and J. C. Mason / The approximation by
complex functions of stresses in cracked domains / 6ll
\\
J. H. McDonnell / Equally spaced cubic splines for
representing time histories / 623 \\
B. L. Rahimi and S. W. Ellacott / Dynamic phase
analysis of heart anomalies / 641 \\
\\
III Software \\
\\
J. G. Hayes / NAG algorithms for the approximation of
functions and data / 653 \\
G. T. Anthony and M. G. Cox / The National Physical
Laboratory's Data Approximation Subroutine Library /
669 \\
\\
M. G. Cox (editor) / Panel Discussion / 689",
}
@Proceedings{Golub:1994:RAI,
editor = "Gene Golub and Anne Greenbaum and Mitchell Luskin",
booktitle = "Recent advances in iterative methods",
title = "Recent advances in iterative methods",
volume = "60",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 225",
year = "1994",
ISBN = "0-387-94252-1",
ISBN-13 = "978-0-387-94252-0",
LCCN = "QA297.8 .R43 1994",
MRclass = "65-06",
MRnumber = "95m:65001",
bibdate = "Fri Dec 20 16:39:55 MST 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
series = "The IMA Volumes in Mathematics and its Applications",
acknowledgement = ack-nhfb,
}
