The Perron-Frobenius theorem - A proof with the use of Markov chains

被引：0
作者：
Al'pin Yu.A. [1 ]
Al'pina V.S. [2 ]
机构：
[1] Kazan' State University, Kazan'
[2] Kazan' State Technological University, Kazan'
来源：
Journal of Mathematical Sciences | 2009年 / 157卷 / 5期
关键词：
Russia; Markov Chain; State Technological; Ergodic Theorem; Nonnegative Matrix;
D O I：
10.1007/s10958-009-9347-9
中图分类号：
学科分类号：
摘要：
The Perron-Frobenius theorem for an irreducible nonnegative matrix is proved using the matrix graph and the ergodic theorem of the theory of Markov chains. © 2009 Springer Science+Business Media, Inc.
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页码：675 / 680
页数：5
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[3]  
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[4]  
Romanovsky V., Un théorème sur les zéros des matrices non négatives, Bull. Soc. Math. France, 61, pp. 213-219, (1933)
[5]  
Romanovsky V.V., Discrete Markov Chains [In Russian], (1949)
[6]  
Kemeny J.G., Snell J., Finite Markov Chains, (1976)
[7]  
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