%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Axel Ruhe", %%% version = "1.26", %%% date = "29 March 2013", %%% time = "16:40:54 MST", %%% filename = "ruhe-axel.bib", %%% address = "Mathematics Department %%% University of California %%% Berkeley CA 94720-3840 %%% USA", %%% telephone = "+1 510 642 8570", %%% FAX = "+1 510 642 8204", %%% checksum = "44450 2148 8085 88832", %%% email = "ruhe at math.berkeley.edu (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "Numerical Linear Algebra, Matrix eigenvalues", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% Axel Ruhe. The companion LaTeX file %%% ruhe-axel.ltx can be used to typeset %%% this bibliography. %%% %%% At version 1.26, the year coverage looked %%% like this: %%% %%% 1966 ( 2) 1982 ( 2) 1998 ( 2) %%% 1967 ( 1) 1983 ( 3) 1999 ( 0) %%% 1968 ( 1) 1984 ( 2) 2000 ( 2) %%% 1969 ( 1) 1985 ( 0) 2001 ( 1) %%% 1970 ( 4) 1986 ( 1) 2002 ( 0) %%% 1971 ( 0) 1987 ( 3) 2003 ( 2) %%% 1972 ( 1) 1988 ( 0) 2004 ( 1) %%% 1973 ( 1) 1989 ( 0) 2005 ( 5) %%% 1974 ( 3) 1990 ( 3) 2006 ( 5) %%% 1975 ( 2) 1991 ( 0) 2007 ( 6) %%% 1976 ( 1) 1992 ( 0) 2008 ( 4) %%% 1977 ( 0) 1993 ( 1) 2009 ( 4) %%% 1978 ( 0) 1994 ( 5) 2010 ( 5) %%% 1979 ( 3) 1995 ( 2) 2011 ( 4) %%% 1980 ( 8) 1996 ( 1) 2012 ( 4) %%% 1981 ( 0) 1997 ( 0) 2013 ( 1) %%% %%% Article: 78 %%% Book: 1 %%% InCollection: 2 %%% InProceedings: 8 %%% PhdThesis: 1 %%% Proceedings: 2 %%% TechReport: 5 %%% %%% Total entries: 97 %%% %%% This file is available as part of the BibNet %%% Project. The master copy is available for %%% public access on ftp.math.utah.edu in the %%% directory tree /pub/bibnet/authors. It is %%% mirrored to netlib.bell-labs.com in the directory %%% tree /netlib/bibnet/authors, from which it is %%% available via anonymous ftp and the Netlib %%% service. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %%% ==================================================================== %%% 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/|"} %%% ==================================================================== %%% Institutional abbreviations: @String{inst-UTK-CS = "Department of Computer Science, University of Tennessee, Knoxville"} @String{inst-UTK-CS:adr = "Knoxville, TN 37996, USA"} %%% ==================================================================== %%% Journal abbreviations: @String{j-APL-QUOTE-QUAD = "APL Quote Quad"} @String{j-BIT = "BIT"} @String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"} @String{j-J-COMP-PHYS = "J. Computational Physics"} @String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"} @String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"} @String{j-MATH-COMP = "Math. Comp."} @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}"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-BIRKHAUSER = "Birkh{\"a}user Verlag"} @String{pub-BIRKHAUSER:adr = "Basel"} @String{pub-CP = "Clarendon Press"} @String{pub-CP: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."} %%% ==================================================================== %%% Series abbreviations: @String{ser-LNCS = "Lecture Notes in Computer Science"} %%% ==================================================================== %%% Bibliography entries: @Article{Ruhe:1966:APE, author = "Axel Ruhe", title = "{Algol} programming: Eigenvalues of a complex matrix by the {$QR$}-method", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "6", number = "4", pages = "350--358", month = jul, year = "1966", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi: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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @Article{Ruhe:1966:ECM, author = "Axel Ruhe", title = "Eigenvalues of a complex matrix by the {$QR$}-method", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "6", number = "??", pages = "350--358", year = "1966", bibsource = "http://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.", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; JSTOR database", acknowledgement = ack-nhfb, } @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 = "http://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 = "http://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-COMP, volume = "28", pages = "695--710", year = "1974", bibdate = "Fri Sep 1 08:03:48 1995", bibsource = "http://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", pages = "87--93", year = "1975", CODEN = "LAAPAW", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Fri Sep 1 08:03:48 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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-COMP, volume = "33", pages = "680--687", year = "1979", bibdate = "Fri Sep 1 08:03:48 1995", bibsource = "http://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 = "http://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-COMP, volume = "35", pages = "1251--1268", year = "1980", bibsource = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, 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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, 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 = "A. Ruhe and P.\AA{} Wedin", title = "Algorithms for separable nonlinear least squares problems", journal = j-SIAM-REVIEW, volume = "22", pages = "318--337", year = "1980", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Sep 1 08:03:48 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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", ISSN-L = "0163-6006", bibdate = "Fri Sep 1 08:03:48 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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 = "http://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 = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @InProceedings{Ruhe:1983:TSA, author = "Axel Ruhe", editor = "B. K{\aa}gstr{\"o}m and A. Ruhe", booktitle = "Matrix Pencils", title = "The Two-sided {Arnoldi} Algorithm for Nonsymmetric Eigenvalue Problems", volume = "973", publisher = pub-SV, address = pub-SV:adr, pages = "104--120", year = "1983", bibdate = "Wed Nov 30 11:27:34 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", series = "Lecture Notes in Mathematics", } @Article{Ruhe:1984:RKS, author = "Axel Ruhe", title = "Rational {Krylov} Sequence Methods for Eigenvalue Computation", journal = j-LINEAR-ALGEBRA-APPL, volume = "58", publisher = pub-ELS, address = pub-ELS:adr, 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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://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", editor = "J. C. Mason and M. G. Cox", booktitle = "Algorithms for approximation", title = "Complex formation constants --- a problem from solution chemistry", publisher = pub-CP, address = pub-CP:adr, pages = "557--572", year = "1987", bibdate = "Fri Nov 11 16:38:50 MST 1994", bibsource = "http://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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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 = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @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 = "http://dx.doi.org/10.1137/0911067", ISSN = "0196-5204", MRclass = "65H17 (76D99 76M25)", MRnumber = "1068504 (91j:65095)", MRreviewer = "Fu Ming Ma", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", } @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 = "http://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 = "http://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\"oberg 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 = "http://dx.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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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=??", acknowledgement = ack-nhfb, classmath = "01A70 (Biographies, obituaries, personalia, bibliographies); 01A65 (Development of contemporary mathematics)", keywords = "birthday", ZMnumber = "0810.01008", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", 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", ZMnumber = "0803.65045", } @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 = "http://dx.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 = "http://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", } @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 = "http://dx.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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://www.mai.liu.se/BIT/contents/bit34.html", 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))", keywords = "Arnoldi algorithm; complex shifts; double shift; inverse iteration; Lanczos algorithm; nonsymmetric matrix pencil; rational Krylov algorithm; Ritz approximations; small Hessenberg pencil", ZMnumber = "0810.65032", } @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 = "http://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 = "Bull. Amer. Math. Soc. (N.S.)", volume = "32", number = "3", pages = "357--360", year = "1995", CODEN = "BAMOAD", DOI = "http://dx.doi.org/10.1090/S0273-0979-1995-00597-5", ISSN = "0273-0979 (print), 1088-9485 (electronic)", MRnumber = "1568184", bibdate = "Wed Aug 25 16:21:53 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Society. Bulletin. New Series", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", 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)", keywords = "Arnoldi algorithm; bifurcations; convergence; linearization; nonlinear eigenvalue problems; nonlinear path following problem; spectral transformation; Taylor vortex flow problem; turning points", ZMnumber = "0886.65055", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, 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", year = "1998", CODEN = "SJOCE3", DOI = "http://dx.doi.org/10.1137/S1064827595285597", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", bibdate = "Tue Aug 24 22:44:42 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", 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)", 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)}", ZMnumber = "0914.65036", } @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", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xxx + 410", year = "2000", ISBN = "0-89871-471-0", ISBN-13 = "978-0-89871-471-5", 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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; MathSciNet database", note = "A practical guide.", series = "Software, Environments, and Tools", 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)", 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:RKA, 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 = "http://dx.doi.org/10.1023/A:1022414805217", ISSN = "0373-2703", MRclass = "65F15 (15A18)", MRnumber = "1795855 (2001j:65067)", MRreviewer = "J. Segethov{\'a}", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", fjournal = "Rossi\u\i skaya Akademiya Nauk. Sankt-Peterburgskoe Otdelenie. Matematicheski\u\i\ Institut im. V. A. Steklova. Zapiski Nauchnykh Seminarov (POMI)", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, language = "English", ZMnumber = "0995.68504", } @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 = "http://www.springerlink.com/openurl.asp?genre=article&id=doi: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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @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 = "http://www.springerlink.com/openurl.asp?genre=article&id=doi: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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @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 = "http://www.springerlink.com/openurl.asp?genre=article&id=doi: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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @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 = "http://dx.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://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", 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, keywords = "information retrieval; Krylov subspace; Lanczos algorithm; latent semantic indexing; query expansion; singular value decomposition; vector space model", ZMnumber = "1101.68024", } @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 = "http://www.springerlink.com/openurl.asp?genre=article&id=doi: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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @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 = "http://www.springerlink.com/openurl.asp?genre=article&id=doi: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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @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 = "http://www.springerlink.com/openurl.asp?genre=article&id=doi: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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @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 = "http://www.springerlink.com/openurl.asp?genre=article&id=doi: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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @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 = "http://dx.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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", 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, keywords = "Arnoldi decomposition; numerical examples; rational Krylov algorithm; shift-and-invert spectral transformation", ZMnumber = "1105.65036", } @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 = "http://dx.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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", acknowledgement = ack-nhfb, } @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 = "http://dx.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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", acknowledgement = ack-nhfb, } @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 = "http://dx.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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", acknowledgement = ack-nhfb, } @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 = "http://dx.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 = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", acknowledgement = ack-nhfb, } @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 = "http://dx.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; http://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, } @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 = "http://dx.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; http://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, } @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 = "http://dx.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; http://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, } @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 = "http://dx.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; http://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, } @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 = "http://dx.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; http://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, } @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 = "http://dx.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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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, } @Article{Ruhe:2008:E, author = "Axel Ruhe", title = "Editorial", journal = j-BIT-NUM-MATH, volume = "48", number = "1", pages = "1--2", month = mar, year = "2008", CODEN = "BITTEL, NBITAB", DOI = "http://dx.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; http://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, } @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 = "http://dx.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; http://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, } @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; http://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", } @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; http://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=4&spage=649", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @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; http://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=4&spage=641", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @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; http://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=2&spage=247", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @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; http://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=3&spage=475", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @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; http://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", } @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; http://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, } @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; http://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=4&spage=689", acknowledgement = ack-nhfb, } @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; http://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=1&spage=1", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @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; http://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=2&spage=221", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @Article{Ruhe:2010:RKR, author = "Axel Ruhe", title = "Rational {Krylov} for real pencils with complex eigenvalues", journal = "Taiwanese J. Math.", volume = "14", number = "3A", pages = "795--803", year = "2010", ISSN = "1027-5487", MRclass = "65F15 (93B60)", MRnumber = "2667717 (2011j:65084)", MRreviewer = "T. R. Hopkins", bibdate = "Sat Oct 1 08:28:27 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, 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; http://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, } @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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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", } @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; http://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=2&spage=251", acknowledgement = ack-nhfb, } @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; http://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, } @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 = "http://dx.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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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", } @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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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", } @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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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", } @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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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", } @Article{Ruhe:2013:PB, 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 = "http://dx.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; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://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", } %%% ==================================================================== %%% Cross-referenced entries must come last: @Proceedings{Kaagstrom:1983:MPP, editor = "B. (Bo) K{\aa}gstr{\"o}m and Axel H. 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", ISBN = "0-387-11983-3 (US), 3-540-11983-3 (Germany)", ISBN-13 = "978-0-387-11983-0 (US), 978-3-540-11983-8 (Germany)", LCCN = "QA3 .L28 no. 973", bibdate = "Wed Nov 30 11:30:15 MST 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; z3950.loc.gov:7090/Voyager", series = "Lecture notes in mathematics", acknowledgement = ack-nhfb, subject = "Eigenvalues; Congresses; Matrix pencils; Numerical analysis", } @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 = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", series = "The IMA Volumes in Mathematics and its Applications", acknowledgement = ack-nhfb, } %%% Last bibsql search: Wed Nov 30 11:33:43 2011 %%% Last MathSciNet search: Sat Oct 1 08:24:51 2011 [2000-2012]