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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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Stabilization by a diagonal matrix
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by C. S. Ballantine
Proc. Amer. Math. Soc. 25 (1970), 728-734
DOI: https://doi.org/10.1090/S0002-9939-1970-0260765-X

Abstract:

In this paper it is shown that, given a complex square matrix $A$ all of whose leading principal minors are nonzero, there is a diagonal matrix $D$ such that the product $DA$ of the two matrices has all its characteristic roots positive and simple. This result is already known for real $A$, but two new proofs for this case are given here.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 728-734
  • MSC: Primary 15.25
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0260765-X
  • MathSciNet review: 0260765