Notes on some bounds for the zeros of polynomials

DOI10.7153/mia-2018-21-33zbMath1384.26041OpenAlexW2794378012MaRDI QIDQ4634662

Amer Abu-Omar

Publication date: 11 April 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2018-21-33

zbMATH Keywords

zeros of polynomialsspectral radiusinequalitymatrix normsFrobenius companion matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Real polynomials: location of zeros (26C10)

Related Items (2)

Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials ⋮ Bounds for the zeros of polynomials from compression matrix inequalities

Cites Work

• Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials
• Bounds for roots of algebraic equations
• Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices
• Bounds for the zeros of polynomials from matrix inequalities
• Bounds for the zeros of polynomials from matrix inequalities – II
• Matrix Analysis
• Operator norms as bounds for roots of algebraic equations
• Singular Values of Companion Matrices and Bounds on Zeros of Polynomials
• Unnamed Item

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