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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 284, Pages 18–35 (Mi znsl1535)  
This article is cited in 8 scientific papers (total in 8 papers)

Factorized-sparse-approximate-inverse preconditionings of linear systems with unsymmetric matrices

A. Yu. Yeremina, A. A. Nikishinb

a Research Computer Center, M. V. Lomonosov Moscow State University
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences
Full-text PDF (266 kB) Citations (8)
Abstract: The paper considers the application of factorized-sparse-approximate-inverse (FSAI) preconditionings to linear algebraic systems with nonsingular unsymmetric coefficient matrices. Special attention is paid to methods for optimizing the sparsity pattern of such preconditioners. It is numerically demonstrated that the efficiency of FSAI preconditionings can substantially be improved by applying the so-called post-filtering and prefiltering in order to sparsify preconditioning matrices.
Received: 02.03.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 4, Pages 2448–2457
DOI: https://doi.org/10.1023/B:JOTH.0000026282.08256.45
Bibliographic databases:
UDC: 519.612.2
Language: Russian
Citation: A. Yu. Yeremin, A. A. Nikishin, “Factorized-sparse-approximate-inverse preconditionings of linear systems with unsymmetric matrices”, Computational methods and algorithms. Part XV, Zap. Nauchn. Sem. POMI, 284, POMI, St. Petersburg, 2002, 18–35; J. Math. Sci. (N. Y.), 121:4 (2004), 2448–2457
Citation in format AMSBIB
\Bibitem{YerNik02}
\by A.~Yu.~Yeremin, A.~A.~Nikishin
\paper Factorized-sparse-approximate-inverse preconditionings of linear systems with unsymmetric matrices
\inbook Computational methods and algorithms. Part~XV
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 284
\pages 18--35
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1535}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1915073}
\zmath{https://zbmath.org/?q=an:1071.65066}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 4
\pages 2448--2457
\crossref{https://doi.org/10.1023/B:JOTH.0000026282.08256.45}
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  • https://www.mathnet.ru/eng/znsl/v284/p18
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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