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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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Generalized power symmetric stochastic matrices
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by R. B. Bapat, S. K. Jain and K. Manjunatha Prasad PDF
Proc. Amer. Math. Soc. 127 (1999), 1987-1994 Request permission

Abstract:

We characterize stochastic matrices $A$ which satisfy the equation $(A^p) ^T = A^m$ where $p < m$ are positive integers.
References
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Additional Information
  • R. B. Bapat
  • Affiliation: Department of Mathematics, Indian Statistical Institute, 7 S.J.S. Sansanwal Marg, New Delhi 110016, India
  • Email: rbb@isidl.isid.ac.in
  • S. K. Jain
  • Affiliation: Department of Mathematics, Ohio University, Athens, Ohio 45701
  • MR Author ID: 199020
  • Email: jain@math.ohiou.edu
  • K. Manjunatha Prasad
  • Affiliation: Department of Mathematics, Manipal Institute of Technology, Gangtok, Sikkim, 737102 India
  • Received by editor(s): October 22, 1997
  • Published electronically: March 17, 1999
  • Additional Notes: This work was done while the second author was visiting Indian Statistical Institute in November-December 1996 and July-August 1997. He would like to express his thanks for the warm hospitality he enjoyed during his visits as always. Partially supported by Research Challenge Fund, Ohio University
  • Communicated by: Jeffry N. Kahn
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1987-1994
  • MSC (1991): Primary 05B20, 15A09, 15A51
  • DOI: https://doi.org/10.1090/S0002-9939-99-05126-6
  • MathSciNet review: 1641629