Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 199, Pages 31–42
DOI: https://doi.org/10.36535/0233-6723-2021-199-31-42 (Mi into887) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Spectral properties of one infinite tridiagonal matrix

G. V. Garkavenko, N. B. Uskova

Voronezh State University
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DOI: https://doi.org/10.36535/0233-6723-2021-199-31-42
Abstract: Using the method of similar operators, we obtain conditions under which an infinite tridiagonal matrix can be transformed to the diagonal (block-diagonal) form by a similarity transformation. Asymptotic estimates of the eigenvalues and eigenvectors are also obtained.
Keywords: infinite tridiagonal matrices, eigenvalue, eigenvector, method of similar operators.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00732
This work was supported by the Russian Foundation for Basic Research (project No. 19-01-00732).
Document Type: Article
UDC: 517.9
MSC: 47A75, 47B25, 47B36
Language: Russian
Citation: G. V. Garkavenko, N. B. Uskova, “Spectral properties of one infinite tridiagonal matrix”, Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 199, VINITI, Moscow, 2021, 31–42
Citation in format AMSBIB
\Bibitem{GarUsk21}
\by G.~V.~Garkavenko, N.~B.~Uskova
\paper Spectral properties of one infinite tridiagonal matrix
\inbook Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 --- February 1, 2020. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 199
\pages 31--42
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into887}
\crossref{https://doi.org/10.36535/0233-6723-2021-199-31-42}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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