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Matematicheskie Zametki, 1976, Volume 19, Issue 1, Pages 105–108 (Mi mzm7728)  
This article is cited in 2 scientific papers (total in 2 papers)

Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method

B. V. Loginova, N. A. Sidorovb

a Mathematical Institute, Academy of Sciences of UzSSR
b Irkutsk State University
Full-text PDF (254 kB) Citations (2)
Abstract: M. K. Gavurin proposed (RZh Mat. 4B383, 1962) an iteration method based on the theory of perturbations for finding the eigenvalues and eigenvectors of linear operators. The method was developed later by F. Kunert (RZh Mat. 5B815, 1968). In the present note, using results of V. A. Trenogin (RZh Mat. 1B706, 1970), this method is extended to problems of the form $(A-\lambda B)\varphi=0$.
Received: 05.05.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 1, Pages 62–64
DOI: https://doi.org/10.1007/BF01147620
Bibliographic databases:
UDC: 517.432
Language: Russian
Citation: B. V. Loginov, N. A. Sidorov, “Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method”, Mat. Zametki, 19:1 (1976), 105–108; Math. Notes, 19:1 (1976), 62–64
Citation in format AMSBIB
\Bibitem{LogSid76}
\by B.~V.~Loginov, N.~A.~Sidorov
\paper Calculation of eigenvalues and eigenvectors of bounded operators by the false-perturbation method
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 1
\pages 105--108
\mathnet{http://mi.mathnet.ru/mzm7728}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487541}
\zmath{https://zbmath.org/?q=an:0333.47008}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 1
\pages 62--64
\crossref{https://doi.org/10.1007/BF01147620}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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