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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the limiting set of stochastic products $xA_{1}\cdots A_{k}$
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by D. J. Hartfiel PDF
Proc. Amer. Math. Soc. 81 (1981), 201-206 Request permission

Abstract:

In this paper we study the sequential limiting set $L$ of the sequence ${R_1}, \ldots ,{R_k} = \{ x{A_1} \ldots {A_k}|x$ is a stochastic vector, and ${A_i}$ a stochastic matrix with $P \leqslant {A_i} \leqslant Q$, for nonnegative matrices $P$ and $Q\} , \ldots$. We characterize $L$ and provide some work on approximating $L$.
References
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  • Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Inc., Boston, Mass., 1964. MR 0162808
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 201-206
  • MSC: Primary 15A51
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0593457-5
  • MathSciNet review: 593457