FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1998, VOLUME 4, NUMBER 1, PAGES 345-358
V. E. Shestopal
Abstract
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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.
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Last modified: April 8, 1998