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

doi:10.15352/afa/1391614569

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Home > Journals > Ann. Funct. Anal. > Volume 5 > Issue 1 > Article

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

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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

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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

Keywords: Frobenius companion matrix , inequality , numerical radius , spectral radius , zeros of polynomials

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Vol.5 • No. 1 • 2014

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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," Annals of Functional Analysis, Ann. Funct. Anal. 5(1), 56-62, (2014)

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