Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials

Journal article

Open access

Peer reviewed

Linear algebra and its applications, Vol.550, pp.28-36

01/08/2018

Abstract

Frobenius companion matrix

Generalized Aluthge transform

Inequality

Numerical radius

Operator norm

Polar decomposition

Spectral radius

Zeros of polynomials

We prove spectral radius inequalities for sums of operators. Our results are employed to establish a new bound for the zeros of polynomials.

url

https://doi.org/10.1016/j.laa.2018.03.033View

Published (Version of record) Open

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Title: Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials
Creators - without role: Amer Abu-Omar - Tabuk, Saudi Arabia
Publication Details: Linear algebra and its applications, Vol.550, pp.28-36
Publisher: Elsevier Inc
Identifiers: 9914238508331
Academic Unit: Fahad Bin Sultan University
Language: English
Resource Type: Journal article