Valid HTML 4.0! Valid CSS!
%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Axel Ruhe and Nelson H. F. Beebe",
%%%     version         = "2.06",
%%%     date            = "01 December 2023",
%%%     time            = "09:47:33 MST",
%%%     filename        = "ruhe-axel.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "https://www.math.utah.edu/~beebe",
%%%     checksum        = "54960 2779 10759 120158",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "Numerical Linear Algebra, Matrix eigenvalues",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications of
%%%                        the late Axel Ruhe (1942--2015).  The
%%%                        companion LaTeX file ruhe-axel.ltx can be
%%%                        used to typeset this bibliography.
%%%
%%%                        At version 2.06, the year coverage looked
%%%                        like this:
%%%
%%%                             1966 (   2)    1983 (   3)    2000 (   3)
%%%                             1967 (   1)    1984 (   2)    2001 (   1)
%%%                             1968 (   1)    1985 (   0)    2002 (   1)
%%%                             1969 (   1)    1986 (   1)    2003 (   2)
%%%                             1970 (   4)    1987 (   4)    2004 (   1)
%%%                             1971 (   0)    1988 (   0)    2005 (   5)
%%%                             1972 (   1)    1989 (   0)    2006 (   5)
%%%                             1973 (   1)    1990 (   3)    2007 (   6)
%%%                             1974 (   3)    1991 (   0)    2008 (   4)
%%%                             1975 (   2)    1992 (   0)    2009 (   4)
%%%                             1976 (   1)    1993 (   1)    2010 (   5)
%%%                             1977 (   1)    1994 (   5)    2011 (   4)
%%%                             1978 (   1)    1995 (   2)    2012 (   4)
%%%                             1979 (   3)    1996 (   1)    2013 (   4)
%%%                             1980 (   8)    1997 (   0)    2014 (   3)
%%%                             1981 (   0)    1998 (   2)    2015 (   1)
%%%                             1982 (   2)    1999 (   0)
%%%
%%%                             Article:         90
%%%                             Book:             1
%%%                             InCollection:     2
%%%                             InProceedings:    7
%%%                             PhdThesis:        1
%%%                             Proceedings:      3
%%%                             TechReport:       5
%%%
%%%                             Total entries:  109
%%%
%%%                        This file is available as part of the BibNet
%%%                        Project.  The master copy is available for
%%%                        public access on ftp.math.utah.edu in the
%%%                        directory tree /pub/bibnet/authors.  It is
%%%                        mirrored to netlib.bell-labs.com in the directory
%%%                        tree /netlib/bibnet/authors, from which it is
%%%                        available via anonymous ftp and the Netlib
%%%                        service.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================
@Preamble{
   "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|https://www.math.utah.edu/~beebe/|"}

%%% ====================================================================
%%% Institutional abbreviations:
@String{inst-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-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}"}

%%% ====================================================================
%%% Publisher abbreviations:
@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."}

%%% ====================================================================
%%% Series abbreviations:
@String{ser-LECT-NOTES-MATH     = "Lecture Notes in Mathematics"}

@String{ser-LNCS                = "Lecture Notes in Computer Science"}

%%% ====================================================================
%%%                Part 1: Publications by Axel Ruhe
%%%
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with ``bibsort --byyear'':
@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;
                 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=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;
                 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=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;
                 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=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;
                 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=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;
                 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=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;
                 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=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;
                 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=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;
                 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=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;
                 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=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",
}

%%% ====================================================================
%%%     Part 2 (of 2): Publications about Axel Ruhe and his work
@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",
}

%%% ====================================================================
%%% Cross-referenced entries must come last:
@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,
}

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