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