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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 367, Pages 5–8 (Mi znsl3486)  
A formula for the Perron vector of a stochastic matrix

Yu. A. Al'pin

Kazan State University, Kazan, Russia
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Abstract: The paper suggests a new linear-algebraic proof of a formula for the Perron vector (stationary distribution) of a stochastic matrix, known in the theory of Markov chains. Bibl. – 5 titles.
Key words and phrases: Perron–Frobenius theorem, Perron vector, stochastic matrix.
Received: 19.10.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 165, Issue 5, Pages 499–500
DOI: https://doi.org/10.1007/s10958-010-9818-z
Bibliographic databases:
UDC: 512
Language: Russian
Citation: Yu. A. Al'pin, “A formula for the Perron vector of a stochastic matrix”, Computational methods and algorithms. Part XXII, Zap. Nauchn. Sem. POMI, 367, POMI, St. Petersburg, 2009, 5–8; J. Math. Sci. (N. Y.), 165:5 (2010), 499–500
Citation in format AMSBIB
\Bibitem{Alp09}
\by Yu.~A.~Al'pin
\paper A formula for the Perron vector of a~stochastic matrix
\inbook Computational methods and algorithms. Part~XXII
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 367
\pages 5--8
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3486}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 165
\issue 5
\pages 499--500
\crossref{https://doi.org/10.1007/s10958-010-9818-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949303816}
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