%%% -*-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", }