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

DOI10.15352/afa/1391614569zbMath1298.47011OpenAlexW2088032569MaRDI QIDQ376631

Amer Abu-Omar, Fuad Kittaneh

Publication date: 5 November 2013

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/AFA/AFA-tex_v5_n1_a7.pdf

zbMATH Keywords

zeros of polynomialsspectral radiusinequalitynumerical radiusFrobenius companion matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

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