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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nonnegative matrices with nonnegative inverses
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by Ralph DeMarr
Proc. Amer. Math. Soc. 35 (1972), 307-308
DOI: https://doi.org/10.1090/S0002-9939-1972-0296089-6

Abstract:

We generalize a result stating that a nonnegative finite square matrix has a nonnegative inverse if and only if it is the product of a permutation matrix by a diagonal matrix. We consider column-finite infinite matrices and give a simple proof using elementary ideas from the theory of partially ordered linear algebras.
References
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 307-308
  • MSC: Primary 15A48
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0296089-6
  • MathSciNet review: 0296089