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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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Improved Cauchy radius for scalar and matrix polynomials
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by A. Melman PDF
Proc. Amer. Math. Soc. 146 (2018), 613-624 Request permission

Abstract:

We improve the Cauchy radius of both scalar and matrix polynomials, which is an upper bound on the moduli of the zeros and eigenvalues, respectively, by using appropriate polynomial multipliers.
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Additional Information
  • A. Melman
  • Affiliation: Department of Applied Mathematics, School of Engineering, Santa Clara University, Santa Clara, California 95053
  • MR Author ID: 293268
  • Email: amelman@scu.edu
  • Received by editor(s): November 17, 2016
  • Received by editor(s) in revised form: March 15, 2017
  • Published electronically: October 18, 2017
  • Communicated by: Walter Van Assche
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 613-624
  • MSC (2010): Primary 30C15, 47A56, 65F15
  • DOI: https://doi.org/10.1090/proc/13826
  • MathSciNet review: 3731696