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Fundamentalnaya i Prikladnaya Matematika, 1998, Volume 4, Issue 1, Pages 345–358
(Mi fpm294)
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This article is cited in 1 scientific paper (total in 1 paper)
Strengthening of localization theorems of Geršgorin and Brauer
V. E. Shestopal Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Abstract:
Substantial refinements and generalizations of the two known theorems are proposed. We show how to take into account the eigenvectors and other invariants for the more accurate spectrum localization. It permits us to obtain simple and adventegeous criteria of regularity of finite Markov chains and corresponding convergence rate estimations. Similar considerations and a something greater care in proving of Brauer's theorem give us essentially stronger inequalities than in original formulation. We propose new nondegeneracy tests and a new theorem of spectrum separation by components of the localization set.
Received: 01.03.1996
Citation:
V. E. Shestopal, “Strengthening of localization theorems of Geršgorin and Brauer”, Fundam. Prikl. Mat., 4:1 (1998), 345–358
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https://www.mathnet.ru/eng/fpm294 https://www.mathnet.ru/eng/fpm/v4/i1/p345
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Abstract page: | 487 | Full-text PDF : | 252 | First page: | 2 |
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