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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 219, Pages 5–41 (Mi znsl5984)  
This article is cited in 1 scientific paper (total in 1 paper)

Eigenvalue bounds for block preconditioned matrices

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (1326 kB) Citations (1)
Abstract: In the symmetric positive definite case we derive two-sided eigenvalue bounds for block Jacobi scaled matrices and upper eiqenvalue bounds for matrices preconditioned with an incomplete block factorization. A quantitative characterization of block matrix partitionings is also suggested that can be used when analyzing varions block preconditioning methods. Bibliography: 13 titles.
Received: 26.05.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 4, Pages 2803–2827
DOI: https://doi.org/10.1007/BF02356140
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Eigenvalue bounds for block preconditioned matrices”, Computational methods and algorithms. Part X, Zap. Nauchn. Sem. POMI, 219, POMI, St. Petersburg, 1994, 5–41; J. Math. Sci. (New York), 86:4 (1997), 2803–2827
Citation in format AMSBIB
\Bibitem{Kol94}
\by L.~Yu.~Kolotilina
\paper Eigenvalue bounds for block preconditioned matrices
\inbook Computational methods and algorithms. Part~X
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 219
\pages 5--41
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5984}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1330908}
\zmath{https://zbmath.org/?q=an:0930.65029}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 4
\pages 2803--2827
\crossref{https://doi.org/10.1007/BF02356140}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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