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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 2, Pages 197–205 (Mi zvmmf328)  
This article is cited in 1 scientific paper (total in 1 paper)

On the spectral properties of an operator pencil

Yu. V. Bychenkov

Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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Abstract: For a broad class of iterative algorithms for solving saddle point problems, the study of the convergence and of the optimal properties can be reduced to an analysis of the eigenvalues of operator pencils of a special form. A new approach to analyzing spectral properties of pencils of this kind is proposed that makes it possible to obtain sharp estimates for the convergence rate.
Key words: saddle point operator, operator pencil, spectral properties, estimate of the convergence rate.
Received: 10.04.2006
Revised: 07.07.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 2, Pages 191–199
DOI: https://doi.org/10.1134/S0965542507020042
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: Yu. V. Bychenkov, “On the spectral properties of an operator pencil”, Zh. Vychisl. Mat. Mat. Fiz., 47:2 (2007), 197–205; Comput. Math. Math. Phys., 47:2 (2007), 191–199
Citation in format AMSBIB
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\by Yu.~V.~Bychenkov
\paper On the spectral properties of an operator pencil
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 2
\pages 197--205
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2351811}
\zmath{https://zbmath.org/?q=an:05200974}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 2
\pages 191--199
\crossref{https://doi.org/10.1134/S0965542507020042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947188534}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i2/p197
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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