@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"}
@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 = "{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",
volume = "96",
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",
series = "International Series Numerical Mathematics",
}
@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",
}
