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2014 Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials
Amer Abu-Omar, Fuad Kittaneh
Ann. Funct. Anal. 5(1): 56-62 (2014). DOI: 10.15352/afa/1391614569

Abstract

We apply numerical radius and spectral radius estimates to the Frobenius companion matrices of monic polynomials to derive new bounds for their zeros and give different proofs of some known bounds.

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Amer Abu-Omar. Fuad Kittaneh. "Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials." Ann. Funct. Anal. 5 (1) 56 - 62, 2014. https://doi.org/10.15352/afa/1391614569

Information

Published: 2014
First available in Project Euclid: 5 February 2014

zbMATH: 1298.47011
MathSciNet: MR3119112
Digital Object Identifier: 10.15352/afa/1391614569

Subjects:
Primary: 47A12
Secondary: 15A60, 26C10, 30C15

Rights: Copyright © 2014 Tusi Mathematical Research Group

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Vol.5 • No. 1 • 2014
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