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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 7, Pages 1265–1272 (Mi zvmmf445)  
This article is cited in 14 scientific papers (total in 14 papers)

Computation of eigenvalues of perturbed discrete semibounded operators

S. I. Kadchenko, I. I. Kinzina

Magnitogorsk State University, Magnitogorsk, Chelyabinsk oblast, 455043, Russia
Full-text PDF (915 kB) Citations (14)
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Abstract: To compute the eigenvalues of a perturbed discrete semibounded operator, systems are obtained for the first time in which the number of equations is equal to the multiplicity of the corresponding eigenvalues of the unperturbed operator.
Key words: separable Hilbert space, discrete operator, eigenvalues and eigenfunctions of operator, multiplicity of eigenvalue, perturbative corrections.
Received: 06.04.2005
Revised: 08.12.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 7, Pages 1200–1206
DOI: https://doi.org/10.1134/S0965542506070116
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: S. I. Kadchenko, I. I. Kinzina, “Computation of eigenvalues of perturbed discrete semibounded operators”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006), 1265–1272; Comput. Math. Math. Phys., 46:7 (2006), 1200–1206
Citation in format AMSBIB
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\by S.~I.~Kadchenko, I.~I.~Kinzina
\paper Computation of eigenvalues of perturbed discrete semibounded operators
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 7
\pages 1265--1272
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500583}
\elib{https://elibrary.ru/item.asp?id=13531973}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 7
\pages 1200--1206
\crossref{https://doi.org/10.1134/S0965542506070116}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746720829}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i7/p1265
    • This publication is cited in the following 14 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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    References:41
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