%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Andrew Knyazev",
%%%     version         = "1.05",
%%%     date            = "11 May 2013",
%%%     time            = "12:11:00 MDT",
%%%     filename        = "knyazev-andrew.bib",
%%%     address         = "Associate Professor
%%%                        Department of Mathematics
%%%                        University of Colorado at Denver,
%%%                        P.O. Box 173364, Campus Box 170
%%%                        Denver, CO 80217-3364
%%%                        USA",
%%%     telephone       = "+1 303 556-8102",
%%%     FAX             = "+1 303 556-8550",
%%%     URL             = "http://www-math.cudenver.edu/~aknyazev",
%%%     checksum        = "19660 535 2154 21318",
%%%     email           = "aknyazev at tiger.denver.colorado.edu (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications of
%%%                        Andrew Knyazev.  The companion LaTeX file
%%%                        knyazev-andrew.ltx can be used to typeset
%%%                        this bibliography.
%%%
%%%                        At version 1.05, the year coverage looked
%%%                        like this:
%%%
%%%                             1982 (   1)    1987 (   2)    1992 (   5)
%%%                             1983 (   2)    1988 (   1)    1993 (   2)
%%%                             1984 (   1)    1989 (   1)    1994 (   5)
%%%                             1985 (   1)    1990 (   2)    1995 (   2)
%%%                             1986 (   2)    1991 (   6)
%%%
%%%                             Article:         16
%%%                             Book:             3
%%%                             InCollection:     4
%%%                             InProceedings:    4
%%%                             PhdThesis:        1
%%%                             Proceedings:      3
%%%                             TechReport:       2
%%%
%%%                             Total entries:   33
%%%
%%%                        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.",
%%%  }
%%% ====================================================================

%%% ====================================================================
%%% Publisher abbreviations:

@String{pub-AMS = "Amer. Math. Soc."}

@String{pub-AMS:adr = "Providence, RI, USA"}

@String{pub-BIRKHAUSER = "Birkh{\"a}user Verlag"}

@String{pub-BIRKHAUSER:adr = "Basel"}

@String{pub-CRC = "CRC Press"}

@String{pub-CRC:adr = "2000 Corporate Blvd., Boca Raton, FL 33431, USA"}

@String{pub-ELS = "Elsevier Science Publishers"}

@String{pub-ELS:adr = "Amsterdam, The Netherlands"}

@String{pub-NAUKA = "Nauka"}

@String{pub-NAUKA:adr = "Moscow, Russia"}

@String{pub-SIAM = "SIAM"}

@String{pub-SIAM:adr = "Philadelphia, PA, USA"}

%%% ====================================================================
%%% Bibliography entries:

@Article{Gyakonov:1982:GIM,
  author =       "E. G. D'yakonov and A. V. Knyazev",
  title =        "Group iterative method for finding lower-order
                 eigenvalues",
  journal =      "Moscow University, Ser. 15, Computational Math. and
                 Cybernetics",
  volume =       "2",
  pages =        "32--40",
  year =         "1982",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@InCollection{Knyazev:1983:ECA,
  author =       "A. V. Knyazev and V. I. Lebedev",
  booktitle =    "Computational methods of linear algebra",
  title =        "Estimates for convergence and analysis of the
                 optimality of iterative methods for the simultaneous
                 computation of several eigenvectors",
  publisher =    "{Dept. Numerical Math. USSR Academy of Sciences}",
  address =      "Moscow",
  pages =        "94--114",
  year =         "1983",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  note =         "In Russian.",
}

@TechReport{Knyazev:1983:STS,
  author =       "A. V. Knyazev",
  title =        "Some two-step methods for finding the boundaries of
                 the spectrum of a linear matrix pencil",
  number =       "3749/16",
  institution =  "Kurchatov's Institute of Atomic Energy",
  address =      "Moscow",
  year =         "1983",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  note =         "In Russian.",
}

@Book{Lebedev:1984:PAS,
  author =       "V. I. Lebedev and N. S. Bakhvalov and V. I. Agoshkov
                 and O. V. Baburin and A. V. Knyazev and V. P.
                 Shutyaev",
  title =        "Parallel Algorithms for Solving Some Stationary
                 Problems of Mathemetical Physics",
  publisher =    "{Dept. Numerical Math. USSR Academy of Sciences}",
  address =      "Moscow",
  year =         "1984",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  note =         "Foreword by G. I. Marchuk. In Russian.",
}

@PhdThesis{Knyazev:1985:CEE,
  author =       "A. V. Knyazev",
  title =        "Computation of eigenvalues and eigenvectors
                 (algorithms and error estimates)",
  school =       "{Dept. Numerical Math. USSR Academy of Sciences}",
  address =      "Moscow",
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  note =         "In Russian.",
}

@Book{Knyazev:1986:CEE,
  author =       "A. V. Knyazev",
  title =        "Computation of eigenvalues and eigenvectors for mesh
                 problems: algorithms and error estimates",
  publisher =    "{Dept. Numerical Math. USSR Academy of Sciences}",
  address =      "Moscow",
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  note =         "In Russian.",
}

@Article{Knyazev:1986:SPE,
  author =       "A. V. Knyazev",
  title =        "Sharp a priori error estimates of the {Rayleigh--Ritz}
                 method without assumptions of fixed sign or
                 compactness",
  journal =      "Math. Notes",
  volume =       "38",
  number =       "5--6",
  pages =        "998--1002",
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Knyazev:1987:CRE,
  author =       "A. V. Knyazev",
  title =        "Convergence rate estimates for iterative methods for
                 mesh symmetric eigenvalue problem",
  journal =      "Soviet J. Numerical Analysis and Math. Modelling",
  volume =       "2",
  number =       "5",
  pages =        "371--396",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@InCollection{Knyazev:1987:MDS,
  author =       "A. V. Knyazev",
  editor =       "Gury I. Marchuk",
  booktitle =    "Computational Processes and Systems, No. 5",
  title =        "Methods for the derivation of some estimates in a
                 symmetric eigenvalue problem",
  publisher =    pub-NAUKA,
  address =      pub-NAUKA:adr,
  pages =        "164--173",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  note =         "In Russian.",
}

@Article{Knyazev:1988:CRS,
  author =       "A. V. Knyazev and A. L. Skorokhodov",
  title =        "On the convergence rate of the steepest descent method
                 in euclidean norm",
  journal =      "{USSR J. Comput. Math. and Math. Physics}",
  volume =       "28",
  number =       "5",
  pages =        "195--196",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Knyazev:1989:PIMa,
  author =       "A. V. Knyazev and A. L. Skorokhodov",
  title =        "Preconditioned iterative methods in subspace for
                 solving linear systems with indefinite coefficient
                 matrices and eigenvalue problems",
  journal =      "Soviet J. Numerical Analysis and Math. Modelling",
  volume =       "4",
  number =       "4",
  pages =        "283--310",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Bakhvalov:1990:NIA,
  author =       "N. S. Bakhvalov and A. V. Knyazev",
  title =        "A new iterative algorithm for solving problems of the
                 fictitious flow method for elliptic equations",
  journal =      "Soviet Math. Doklady",
  volume =       "41",
  number =       "3",
  pages =        "481--485",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Knyazev:1990:TLM,
  author =       "A. V. Knyazev and V. I. Lebedev and A. L.
                 Skorokhodov",
  title =        "The {Temple-Lehmann} methods in iterative algorithms",
  journal =      "Soviet J. Numerical Analysis and Math. Modelling",
  volume =       "5",
  number =       "4",
  pages =        "265--273",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Bakhvalov:1991:ECA,
  author =       "N. S. Bakhvalov and A. V. Knyazev",
  title =        "Efficient computation of averaged characteristics of
                 composites of a periodic structure of essentially
                 different materials",
  journal =      "Soviet Math. Doklady",
  volume =       "42",
  number =       "1",
  pages =        "57--62",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@InProceedings{Bakhvalov:1991:IMSa,
  author =       "N. S. Bakhvalov and A. V. Knyazev and G. M.
                 Kobel'kov",
  title =        "Iterative methods for solving equations with highly
                 varying coefficients",
  crossref =     "Glowinski:1991:FIS",
  pages =        "197--205",
  year =         "1991",
  bibdate =      "Mon Aug 12 11:13:59 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@InCollection{Bakhvalov:1991:MEC,
  author =       "N. S. Bakhvalov and A. V. Knyazev",
  editor =       "Gury I. Marchuk",
  booktitle =    "Computational Processes and Systems, No. 8",
  title =        "Methods of effective computation of homogenized
                 properties for the composites with a periodic structure
                 which consist of essentially different components",
  publisher =    pub-NAUKA,
  address =      pub-NAUKA:adr,
  pages =        "52--94",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  note =         "In Russian.",
  comment =      "Methods for the effective computation of averaged
                 characteristics of composites of periodic structure
                 consisting of essentially different materials",
}

@Article{Knyazev:1991:EEC,
  author =       "A. V. Knyazev and A. L. Skorokhodov",
  title =        "On exact estimates of the convergence rate of the
                 steepest ascent method in the symmetric eigenvalue
                 problem",
  journal =      "Linear Algebra and Applications",
  volume =       "154--156",
  pages =        "245--257",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@InProceedings{Knyazev:1991:PCG,
  author =       "A. V. Knyazev",
  booktitle =    "International Ser. Numerical Mathematics, v. 96,
                 {Eigenwertaufgaben in Natur- und
                 Ingenieurwissenschaften und ihre numerische Behandlung,
                 Oberwolfach,} 1990.",
  title =        "A preconditioned conjugate gradient method for
                 eigenvalue problems and its implementation in a
                 subspace",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "143--154",
  year =         "1991",
  bibdate =      "Mon Aug 12 11:13:59 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Bakhvalov:1992:EIM,
  author =       "N. S. Bakhvalov and A. V. Knyazev",
  title =        "An efficient iterative method for solving the {Lam\'e}
                 equations for almost incompressible media and {Stokes}'
                 equations",
  journal =      "Soviet Math. Doklady",
  volume =       "44",
  number =       "1",
  pages =        "4--9",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Gyakonov:1992:IMF,
  author =       "E. G. D'yakonov and A. V. Knyazev",
  title =        "On an iterative method for finding lower eigenvalues",
  journal =      "Russian J. of Numerical Analysis and Math. Modelling",
  volume =       "7",
  number =       "6",
  pages =        "473--486",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@InProceedings{Knyazev:1992:ISP,
  author =       "A. V. Knyazev",
  title =        "Iterative solution of {PDE} with strongly varying
                 coefficients: algebraic version",
  crossref =     "Beauwens:1992:IML",
  pages =        "85--89",
  year =         "1992",
  bibdate =      "Mon Aug 12 11:13:59 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Knyazev:1992:PAS,
  author =       "A. V. Knyazev",
  title =        "A parallel algorithm of subspace iterations and its
                 implementation on a multiprocessor with ring
                 architecture",
  journal =      "Russian J. Numerical Analysis and Math. Modelling",
  volume =       "7",
  number =       "1",
  pages =        "55--61",
  year =         "1992",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Knyazev:1993:PGT,
  author =       "A. V. Knyazev and A. L. Skorokhodov",
  title =        "The preconditioned gradient-type iterative methods in
                 a subspace for partial generalized symmetric eigenvalue
                 problem",
  journal =      "Soviet Math. Doklady",
  volume =       "45",
  number =       "2",
  pages =        "474--478",
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Knyazev:1993:VRQ,
  author =       "A. V. Knyazev and I. A. Sharapov",
  title =        "Variational {Rayleigh} quotient iteration methods for
                 symmetric eigenvalue problem",
  journal =      "East-West J. of Numerical Mathematics",
  volume =       "1",
  number =       "2",
  pages =        "121--128",
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@InCollection{Bakhvalov:1994:FDM,
  author =       "N. S. Bakhvalov and A. V. Knyazev",
  title =        "Fictitious domain methods and computation of
                 homogenized properties of composites with a periodic
                 structure of essentially different components",
  crossref =     "Marchuk:1994:NMA",
  pages =        "221--276",
  year =         "1994",
  bibdate =      "Mon Aug 12 11:13:59 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Bakhvalov:1994:IKT,
  author =       "N. S. Bakhvalov and A. V. Knyazev and M. E. Eglit",
  title =        "An inequality of the {Korn} type and orthogonal
                 decompositions in spaces of matrices",
  journal =      "Russian Acad. Sci. Math. Doklady",
  volume =       "48",
  number =       "1",
  pages =        "127--129",
  year =         "1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@TechReport{Knyazev:1994:NER,
  author =       "A. V. Knyazev",
  title =        "New estimates for {Ritz} vectors",
  number =       "677",
  institution =  "CIMS NYU",
  address =      "New York",
  year =         "1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Article{Knyazev:1994:PGT,
  author =       "A. V. Knyazev and A. L. Skorokhodov",
  title =        "The preconditioned gradient-type iterative methods in
                 a subspace for partial generalized symmetric eigenvalue
                 problem",
  journal =      "SIAM J. Numerical Analysis",
  volume =       "31",
  number =       "4",
  pages =        "1226",
  year =         "1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@InProceedings{Bakhvalov:1995:PIM,
  author =       "N. S. Bakhvalov and A. V. Knyazev",
  title =        "Preconditioned Iterative Methods in a Subspace",
  crossref =     "Keyes:1995:DDM",
  pages =        "000--000",
  year =         "1995",
  bibdate =      "Mon Aug 12 11:13:59 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Proceedings{Glowinski:1991:FIS,
  editor =       "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard
                 A. Meurant and Jacques P{\'e}riaux and Olof Widlund",
  booktitle =    "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  title =        "Fourth International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xi + 417",
  year =         "1991",
  ISBN =         "0-89871-278-5",
  ISBN-13 =      "978-0-89871-278-0",
  LCCN =         "QA402.2 .I57 199",
  bibdate =      "Mon Aug 12 11:27:09 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Proceedings{Beauwens:1992:IML,
  editor =       "R. Beauwens and P. de Groen",
  booktitle =    "Iterative Methods in Linear Algebra: proceedings of
                 the IMACS International Symposium on Iterative Methods
                 in Linear Algebra, Brussels, Belgium, 2--4 April,
                 1991",
  title =        "Iterative Methods in Linear Algebra: proceedings of
                 the {IMACS} International Symposium on Iterative
                 Methods in Linear Algebra, Brussels, Belgium, 2--4
                 April, 1991",
  publisher =    pub-ELS,
  address =      pub-ELS:adr,
  pages =        "xiii + 636",
  year =         "1992",
  ISBN =         "0-444-89248-6",
  ISBN-13 =      "978-0-444-89248-5",
  LCCN =         "QA184 .I44 1991",
  bibdate =      "Mon Aug 12 11:30:35 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  note =         "{Proceedings IMACS Symp. Iterative Methods in Linear
                 Algebra, Brussels, 1991}",
}

@Book{Marchuk:1994:NMA,
  editor =       "Guri I. Marchuk",
  booktitle =    "Numerical Methods and Applications",
  title =        "Numerical Methods and Applications",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "x + 272",
  year =         "1994",
  ISBN =         "0-8493-8947-X",
  ISBN-13 =      "978-0-8493-8947-4",
  LCCN =         "QA297 .N8619 1994",
  bibdate =      "Mon Aug 12 11:20:45 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
}

@Proceedings{Keyes:1995:DDM,
  editor =       "David E. Keyes and Jinchao Xu",
  booktitle =    "Domain Decomposition Methods in Science and
                 Engineering: Proceedings of the Seventh International
                 Conference on Domain Decomposition, October 27--30,
                 1993, The Pennsylvania State University",
  title =        "Domain Decomposition Methods in Science and
                 Engineering: Proceedings of the Seventh International
                 Conference on Domain Decomposition, October 27--30,
                 1993, The Pennsylvania State University",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xxvii + 546",
  year =         "1995",
  ISBN =         "0-8218-5171-3",
  ISBN-13 =      "978-0-8218-5171-5",
  LCCN =         "QA402.2 .I55 1993",
  bibdate =      "Mon Aug 12 11:24:53 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/k/knyazev-andrew.bib",
  series =       "Contemporary Mathematics",
}