Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities

DOI10.1007/s43036-020-00041-1zbMath1450.15021OpenAlexW3009022580MaRDI QIDQ782516

Abeer Jaradat, Fuad Kittaneh

Publication date: 27 July 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-020-00041-1

zbMATH Keywords

eigenvaluescompanion matrixmatrix polynomialsnumerical radius

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (3)

Numerical radius inequalities for operator matrices and applications to the polynomial eigenvalue problem ⋮ Bounds for the eigenvalues of matrix polynomials with commuting coefficients ⋮ Spectral radius inequalities for operator matrices with commuting entries

Cites Work

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• Buzano's Inequality and Bounds for Roots of Algebraic Equations
• Operator norms as bounds for roots of algebraic equations
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Polynomial eigenvalue bounds from companion matrix polynomials
• Numerical radius inequalities for Hilbert space operators
• On the location of eigenvalues of matrix polynomials
• On Numerical Radius Inequalities for Operator Matrices
• Spectra of Tensor Products of Operators

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