On the Stability Radius of Matrix Polynomials

DOI10.1080/03081080290019577zbMath1003.15015OpenAlexW2064398560MaRDI QIDQ4542119

Panayiotis J. Psarrakos, Michael J. Tsatsomeros

Publication date: 23 January 2003

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

Full work available at URL: http://taylorandfrancis.metapress.com/openurl.asp?genre=article&issn=0308-1087&volume=50&issue=2&spage=151

zbMATH Keywords

numerical rangestability radiusmatrix polynomialpseudospectrum

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) Matrices over function rings in one or more variables (15A54)

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A note on numerical ranges of tensors ⋮ Bounds for \(\mathbb{A} \)-numerical radius based on an extension of \(A\)-Buzano inequality ⋮ An extension of the \(a\)-numerical radius on \(C^\ast\)-algebras ⋮ On the boundary of numerical ranges of operators ⋮ Numerical range for weighted Moore-Penrose inverse of tensor ⋮ Stability radii of differential algebraic equations with structured perturbations ⋮ Numerical range and compressions of the shift ⋮ Matrix polynomials with spectral radius equal to the numerical radius ⋮ The Hermitian null-range of a matrix over a finite field ⋮ The block numerical range of matrix polynomials ⋮ Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations ⋮ Stability radii of higher order linear difference systems under multi-perturbations

Cites Work

• Stability radius for structured perturbations and the algebraic Riccati equation
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• Robust stability of linear systems described by higher-order dynamic equations
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• An Algorithm for Computing the Distance to Instability
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• Pseudospectra of Linear Operators
• On the shape of numerical range of matrix polynomials
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