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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 248, Pages 17–48 (Mi znsl625)  
This article is cited in 19 scientific papers (total in 19 papers)

Factorized sparse approximate inverse preconditionings III. Iterative construction of preconditioners.

A. Yu. Yeremina, L. Yu. Kolotilinaa, A. A. Nikishinbc

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences
c Research Computer Center, M. V. Lomonosov Moscow State University
Full-text PDF (305 kB) Citations (19)
Abstract: This paper presents new results of the theoretical study of factorized sparse approximate inverse (FSAI)preconditioners. In particular, the effect of the a posteriori Jacobi scaling and the possibility of constructing such preconditioners iteratively are analyzed. A simple stopping criterion for the termination of local iterations for constructing approximate FSAI preconditioners using the PCG method is proposed. The results of numirical experimernts with 3D finite-element problems from linear elasticity are presented.
Received: 03.11.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 4, Pages 3237–3254
DOI: https://doi.org/10.1007/BF02672769
Bibliographic databases:
UDC: 519.612.2
Language: Russian
Citation: A. Yu. Yeremin, L. Yu. Kolotilina, A. A. Nikishin, “Factorized sparse approximate inverse preconditionings III. Iterative construction of preconditioners.”, Computational methods and algorithms. Part XIII, Zap. Nauchn. Sem. POMI, 248, POMI, St. Petersburg, 1998, 17–48; J. Math. Sci. (New York), 101:4 (2000), 3237–3254
Citation in format AMSBIB
\Bibitem{YerKolNik98}
\by A.~Yu.~Yeremin, L.~Yu.~Kolotilina, A.~A.~Nikishin
\paper Factorized sparse approximate inverse preconditionings~III. Iterative construction of preconditioners.
\inbook Computational methods and algorithms. Part~XIII
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 248
\pages 17--48
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl625}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1692698}
\zmath{https://zbmath.org/?q=an:0961.65042}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 4
\pages 3237--3254
\crossref{https://doi.org/10.1007/BF02672769}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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