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

DOI10.1016/j.laa.2018.03.033OpenAlexW2789909881WikidataQ130117800 ScholiaQ130117800MaRDI QIDQ1747279

Amer Abu-Omar

Publication date: 4 May 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.03.033

zbMATH Keywords

zeros of polynomialsspectral radiusinequalitypolar decompositionoperator normnumerical radiusFrobenius companion matrixgeneralized Aluthge transform

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) 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)

Related Items (2)

Numerical radius inequalities and estimation of 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 the zeros of polynomials from eigenvalues and singular values of some companion matrices
• On weakly unitarily invariant norm and the Aluthge transformation
• Bounds for the zeros of polynomials from matrix inequalities
• Aluthge transforms of operators
• Numerical range of Aluthge transform of operator
• On p-hyponormal operators for \(0<p<1\)
• Beiträge zur Störungstheorie der Spektralzerlegung
• A numerical radius inequality involving the generalized Aluthge transform
• Bounds for the zeros of polynomials from matrix inequalities – II
• Matrix Analysis
• THE GEOMETRY OF THE HAUSDORFF DOMAIN IN LOCALIZATION PROBLEMS FOR THE SPECTRUM OF ARBITRARY MATRICES
• Operator norms as bounds for roots of algebraic equations
• Notes on some bounds for the zeros of polynomials
• On numerical range of the Aluthge transformation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials