## Annals of Functional Analysis

### Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials

#### 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.

#### Article information

Source
Ann. Funct. Anal., Volume 5, Number 1 (2014), 56-62.

Dates
First available in Project Euclid: 5 February 2014

https://projecteuclid.org/euclid.afa/1391614569

Digital Object Identifier
doi:10.15352/afa/1391614569

Mathematical Reviews number (MathSciNet)
MR3119112

Zentralblatt MATH identifier
1298.47011

#### Citation

Abu-Omar, Amer; Kittaneh, Fuad. 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 (2014), no. 1, 56--62. doi:10.15352/afa/1391614569. https://projecteuclid.org/euclid.afa/1391614569

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