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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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The numerical radius and bounds for zeros of a polynomial
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by Yuri A. Alpin, Mao-Ting Chien and Lina Yeh PDF
Proc. Amer. Math. Soc. 131 (2003), 725-730 Request permission

Abstract:

Let $p(t)$ be a monic polynomial. We obtain two bounds for zeros of $p(t)$ via the Perron root and the numerical radius of the companion matrix of the polynomial.
References
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Additional Information
  • Yuri A. Alpin
  • Affiliation: Department of Mathematics and Mechanics, Kazan State University, Kazan, Russia, 420008
  • Email: Yuri.Alpin@ksu.ras.ru
  • Mao-Ting Chien
  • Affiliation: Department of Mathematics, Soochow University, Taipei, Taiwan 11102
  • Email: mtchien@math.scu.edu.tw
  • Lina Yeh
  • Affiliation: Department of Mathematics, Soochow University, Taipei, Taiwan 11102
  • Email: yehlina@math.scu.edu.tw
  • Received by editor(s): December 14, 1999
  • Received by editor(s) in revised form: October 24, 2001
  • Published electronically: July 25, 2002
  • Additional Notes: The work of the second author was supported by the National Science Council of the Republic of China.
  • Communicated by: David Sharp
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 725-730
  • MSC (2000): Primary 15A60, 26C10
  • DOI: https://doi.org/10.1090/S0002-9939-02-06623-6
  • MathSciNet review: 1937409