Yu. A. Al'pin, V. S. Al'pina, “The Perron–Frobenius theorem – a proof with the use of Markov chains”, Zap. Nauchn. Sem. POMI, 2008, Volume 359,Pages <nobr>5

This article is cited in 3 papers

The Perron–Frobenius theorem – a proof with the use of Markov chains

Yu. A. Al'pin^a, V. S. Al'pina^b

^a Kazan State University
^b Kazan State Technological University

Abstract: 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. Bibl. – 7 titles.

UDC: 512

Received: 17.10.2008