A note on structured pseudospectra.

DOI10.1016/j.cam.2005.04.027zbMath1097.15010OpenAlexW2117257978MaRDI QIDQ2490718

Stef Graillat

Publication date: 18 May 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.04.027

zbMATH Keywords

Toeplitz matrixHankel matrixsymmetric matrixcirculant matrixmatrix polynomialpseudospectrumstructured pseudospectrum

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54)

Related Items

A note on structured pseudospectra of block matrices ⋮ Pseudospectra of exponential matrix polynomials ⋮ The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix ⋮ Perturbation analysis on matrix pencils for two specified eigenpairs of a semisimple eigenvalue with multiplicity two ⋮ Structured low-rank approximation and its applications ⋮ Computing unstructured and structured polynomial pseudospectrum approximations ⋮ Structured mapping problems for linearly structured matrices ⋮ First order structured perturbation theory for multiple zero eigenvalues of skew-adjoint matrices ⋮ On the computation of structured singular values and pseudospectra ⋮ A second Wedderburn-type theorem for some classes of linearly structured matrices ⋮ Approximated structured pseudospectra

Cites Work

• Spectral value sets: A graphical tool for robustness analysis
• More on pseudospectra for polynomial eigenvalue problems and applications in control theory
• On large Toeplitz band matrices with an uncertain block
• Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications
• Robustness measures for linear systems with application to stability radii of Hurwitz and Schur polynomials
• Structured Perturbations Part I: Normwise Distances
• On the Pseudospectra of Matrix Polynomials
• Structured condition numbers and backward errors in scalar product spaces
• Spectral Properties of Banded Toeplitz Matrices
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