Localization of the matrix spectrum and Lyapunov type equations-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Localization of the matrix spectrum and Lyapunov type equations

Published:2024-01-02 Issue:4 Volume:1 Page:49-66
ISSN:2949-3919
Container-title:Mathematics and Theoretical Computer Science
language:
Short-container-title:jour

Author:

Demidenko G. V.¹,Wang Zongshun²

Affiliation:

1. Sobolev Institute of Mathematics; Novosibirsk State University

2. Novosibirsk State University

Abstract

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.

Publisher

Kazan Federal University

Reference12 articles.

1. Ju.L. Daleckii, M.G. Krein, Stability of solutions of differential equations in Banach space, AMS, Providence, 1974.

2. S.K. Godunov, Modern aspects of linear algebra, Nauchn. kn., Novosibirsk, 1997 [in Russian].

3. A.G. Mazko, Localization of the spectrum and stability of dynamical systems, Trudy Instituta matematiki NAN Ukrainy, V. 28, Institute of Mathematics of the NAS of Ukraine, Kiev, 1999 [in Russian].

4. A.Ya. Bulgakov, G.V. Demidenko, A new criterion for a matrix spectrum to belong to the closed unit disk and applications to stability theory, Sib. Zh. Ind. Mat. 3 (1), 47–56 (2000) [in Russian]. URL: https://www.mathnet.ru/rus/sjim84

5. G.V. Demidenko, Matrix equations. Textbook, NSU, Novosibirsk, 2009 [in Russian].

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP