Bounds and a majorization for the real parts of the zeros of polynomials

Author:
Fuad Kittaneh

Journal:
Proc. Amer. Math. Soc. **135** (2007), 659-664

MSC (2000):
Primary 15A18, 15A42, 26C10, 30C15

DOI:
https://doi.org/10.1090/S0002-9939-06-08509-1

Published electronically:
August 31, 2006

MathSciNet review:
2262860

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Abstract | References | Similar Articles | Additional Information

Abstract: We apply some eigenvalue inequalities to the real parts of the Frobenius companion matrices of monic polynomials to establish new bounds and a majorization for the real parts of the zeros of these polynomials.

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Additional Information

**Fuad Kittaneh**

Affiliation:
Department of Mathematics, University of Jordan, Amman, Jordan

Email:
fkitt@ju.edu.jo

DOI:
https://doi.org/10.1090/S0002-9939-06-08509-1

Keywords:
Frobenius companion matrix,
zeros of polynomials,
eigenvalue,
majorization

Received by editor(s):
August 9, 2004

Received by editor(s) in revised form:
September 28, 2005

Published electronically:
August 31, 2006

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.