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Matematicheskie Trudy, 2024, Volume 27, Number 4, Pages 93–114
DOI: https://doi.org/10.25205/1560-750X-2024-27-4-93-114 (Mi mt722) 		 
Location of the spectrum of a matrix in a domain bounded by a parabola

V. S. Prokhorov

Novosibirsk State University, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.25205/1560-750X-2024-27-4-93-114
Abstract: The paper studies the problem of the location of the matrix spectrum inside the region bounded by a parabola. An algorithm for solving this spectral problem is proposed in terms of solving some generalized Lyapunov matrix equation.
Key words: Lyapunov type matrix equations, Krein’s theorem, matrix spectrum.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-282
The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 17.09.2024
Revised: 22.10.2024
Accepted: 30.10.2024
English version:
Siberian Advances in Mathematics, 2024, Volume 34, Issue 4, Pages 337–349
DOI: https://doi.org/10.1134/S1055134424040096
Document Type: Article
UDC: 512.643.4
Language: Russian
Citation: V. S. Prokhorov, “Location of the spectrum of a matrix in a domain bounded by a parabola”, Mat. Tr., 27:4 (2024), 93–114; Siberian Adv. Math., 34:4 (2024), 337–349
Citation in format AMSBIB
\Bibitem{Pro24}
\by V.~S.~Prokhorov
\paper Location of the spectrum of a matrix in a domain bounded by a parabola
\jour Mat. Tr.
\yr 2024
\vol 27
\issue 4
\pages 93--114
\mathnet{http://mi.mathnet.ru/mt722}
\transl
\jour Siberian Adv. Math.
\yr 2024
\vol 34
\issue 4
\pages 337--349
\crossref{https://doi.org/10.1134/S1055134424040096}
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