Localization of the matrix spectrum and Lyapunov type equations

Localization of the matrix spectrum and Lyapunov type equations Full article

Journal

Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962

Output data

Year: 2024, Volume: 45, Number: 4, Pages: 1808–1818 Pages count : 11 DOI: 10.1134/S1995080224601358

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0008

The problems on the location of the matrix spectrum inside or outside domains bounded by ellipses or parabolas are studied. Special Lyapunov-type equations are connected with these problems. Theorems about the unique solvability of such equations are proved. Conditions for perturbations of matrix entries are obtained, which guarantee that the spectra of the perturbed matrices belong to the specified domains as well.

Demidenko G.V. , Wang Z.
Localization of the matrix spectrum and Lyapunov type equations
Lobachevskii Journal of Mathematics. 2024. V.45. N4. P.1808–1818. DOI: 10.1134/S1995080224601358 WOS Scopus РИНЦ OpenAlex

Демиденко Г.В. , Ван Ц.
Локализация матричного спектра и разрешимость уравнений типа Ляпунова
Математика и теоретические компьютерные науки. 2023. Т.1. №4. С.49-66. DOI: 10.26907/2949-3919.2023.4.49-66 РИНЦ OpenAlex

Submitted:	Jan 23, 2024
Accepted:	Mar 9, 2024
Published print:	Apr 15, 2024
Published online:	Aug 22, 2024

Web of science:	WOS:001422583700035
Scopus:	2-s2.0-85201799227
Elibrary:	68640877
OpenAlex:	W4401810172

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