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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 6, Pages 1304–1313 (Mi zvmmf4469)  
This article is cited in 6 scientific papers (total in 6 papers)

On an isolated eigenvalue of a matrix and the structure of the corresponding eigenvector

V. A. Pupkov

Krasnodar
Full-text PDF (993 kB) Citations (6)
Abstract: The disposition of the eigenvalues of general matrices and of Hermitian and symmetric matrices with isolated Gershgorin discs and “almost” isolated Gershgorin discs is made more precise. To improve the localization of the eigenvalues, information about the structure of the corresponding eigenvector is used. A sufficient condition is given for a matrix to be non-degenerate.
Received: 05.01.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 6, Pages 14–20
DOI: https://doi.org/10.1016/S0041-5553(83)80070-6
Bibliographic databases:
Document Type: Article
UDC: 519.612
MSC: Primary 65F15; Secondary 15A42
Language: Russian
Citation: V. A. Pupkov, “On an isolated eigenvalue of a matrix and the structure of the corresponding eigenvector”, Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983), 1304–1313; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 14–20
Citation in format AMSBIB
\Bibitem{Pup83}
\by V.~A.~Pupkov
\paper On an isolated eigenvalue of a matrix and the structure of the corresponding eigenvector
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 6
\pages 1304--1313
\mathnet{http://mi.mathnet.ru/zvmmf4469}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=731236}
\zmath{https://zbmath.org/?q=an:0569.65030}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 6
\pages 14--20
\crossref{https://doi.org/10.1016/S0041-5553(83)80070-6}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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