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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 5, Pages 742–756
DOI: https://doi.org/10.31857/S0044466922050027 (Mi zvmmf11393) 		 
This article is cited in 1 scientific paper (total in 1 paper)

General numerical methods

Algorithm for separating matrix spectrum by an angle

È. A. Biberdorf

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466922050027
Abstract: An algorithm for separating the matrix spectrum by a piecewise-smooth curve, namely, by an angle, is presented. A complete description of the problem and its solution is given. The presentation begins from its statement and brief exposition of the theoretical foundations of the basic dichotomy algorithms and ends with numerical examples of using the matrix spectrum dichotomy algorithm by the angle.
Key words: matrix spectrum, angular domain, sectorial operator, spectrum dichotomy.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FWNF-2022-0008
This work was accomplished within the state assignment of the Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, project no. FWNF-2022-0008.
Received: 21.09.2021
Revised: 12.11.2021
Accepted: 14.01.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 5, Pages 719–732
DOI: https://doi.org/10.1134/S0965542522050025
Bibliographic databases:
Document Type: Article
UDC: 519.613
Language: Russian
Citation: È. A. Biberdorf, “Algorithm for separating matrix spectrum by an angle”, Zh. Vychisl. Mat. Mat. Fiz., 62:5 (2022), 742–756; Comput. Math. Math. Phys., 62:5 (2022), 719–732
Citation in format AMSBIB
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\transl
\jour Comput. Math. Math. Phys.
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Linking options:
  • https://www.mathnet.ru/eng/zvmmf11393
  • https://www.mathnet.ru/eng/zvmmf/v62/i5/p742
    • This publication is cited in the following 1 articles:
    1. E. A. Biberdorf, A. S. Rudometova, Wang Li, A. D. Jumbaev, “A Method for Separating the Matrix Spectrum by a Straight Line and an Infinite Strip Flutter Problem”, Comput. Math. and Math. Phys., 64:8 (2024), 1704  crossref
    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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