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Perron–Frobenius theorem
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===Further reading=== * Abraham Berman, [[Robert J. Plemmons]], ''Nonnegative Matrices in the Mathematical Sciences'', 1994, SIAM. {{isbn|0-89871-321-8}}. * [[Chris Godsil]] and [[Gordon Royle]], ''Algebraic Graph Theory'', Springer, 2001. * A. Graham, ''Nonnegative Matrices and Applicable Topics in Linear Algebra'', John Wiley&Sons, New York, 1987. * R. A. Horn and C.R. Johnson, ''Matrix Analysis'', Cambridge University Press, 1990 * Bas Lemmens and Roger Nussbaum, ''Nonlinear Perron-Frobenius Theory'', Cambridge Tracts in Mathematics 189, Cambridge Univ. Press, 2012. * S. P. Meyn and R. L. Tweedie, [https://web.archive.org/web/20100619010320/https://netfiles.uiuc.edu/meyn/www/spm_files/book.html ''Markov Chains and Stochastic Stability''] London: Springer-Verlag, 1993. {{isbn|0-387-19832-6}} (2nd edition, Cambridge University Press, 2009) * Seneta, E. ''Non-negative matrices and Markov chains''. 2nd rev. ed., 1981, XVI, 288 p., Softcover Springer Series in Statistics. (Originally published by Allen & Unwin Ltd., London, 1973) {{isbn|978-0-387-29765-1}} *{{eom|id=P/p072350|first=D.A. |last=Suprunenko}} (The claim that ''A''<sub>''j''</sub> has order ''n''/''h'' at the end of the statement of the theorem is incorrect.) *{{citation|first=Richard S.|last=Varga|author-link=Richard S. Varga|title=Matrix Iterative Analysis|edition=2nd|publisher=Springer-Verlag|year=2002}}. {{DEFAULTSORT:Perron-Frobenius Theorem}} [[Category:Matrix theory]] [[Category:Theorems in linear algebra]] [[Category:Markov processes]]
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