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On the latent roots of a doubly stochastic matrix

Published online by Cambridge University Press:  09 April 2009

Walter Ledermann
Walter Ledermann
Affiliation:
Department of Mathematics University of Sussex England
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Under certain general conditions an n x n stochastic matrix P = (pij), where

is known to possess the “ergodic” property. This means that there exists a finite matrix E such that

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 3 , November 1973 , pp. 353 - 356
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Gantmacher, F. R., Applications of the theory of matrices (Interscience, New York, 1959).Google Scholar
[2]Courant, R. and Hilbert, D., Methods of Mathematical Physics, Vol. 1, (Interscience, New York, 1953).Google Scholar