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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 229, Pages 95–152 (Mi znsl1713)  
This article is cited in 15 scientific papers (total in 15 papers)

Twofold deflation preconditioning of linear algebraic systems. I. Theory

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (3953 kB) Citations (15) English version article
Abstract: In this paper, preconditioning of linear algebraic systems with symmetric positive-definite coefficient matrices by deflation is considered. The twofold deflation technique for simultaneously deflating largest $s$ and smallest $s$ eigenvalues using an appropriate deflating subspace of dimension $s$ is suggested. The possibility of using the extreme Ritz vectors of the coefficient matrix for deflation is analyzed. Bibliography: 15 titles.
Received: 10.06.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 6, Pages 1652–1689
DOI: https://doi.org/10.1007/BF02355371
Bibliographic databases:
UDC: 519.614
Language: Russian
Citation: L. Yu. Kolotilina, “Twofold deflation preconditioning of linear algebraic systems. I. Theory”, Computational methods and algorithms. Part XI, Zap. Nauchn. Sem. POMI, 229, POMI, St. Petersburg, 1995, 95–152; J. Math. Sci. (New York), 89:6 (1998), 1652–1689
Citation in format AMSBIB
\Bibitem{Kol95}
\by L.~Yu.~Kolotilina
\paper Twofold deflation preconditioning of linear algebraic systems.~I.~Theory
\inbook Computational methods and algorithms. Part~XI
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 229
\pages 95--152
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1713}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1433581}
\zmath{https://zbmath.org/?q=an:0899.65024|0886.65048}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 6
\pages 1652--1689
\crossref{https://doi.org/10.1007/BF02355371}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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