Computing the Structured Pseudospectrum of a Toeplitz Matrix and Its Extreme Points

DOI10.1137/120864349zbMath1263.65039arXiv1202.0254OpenAlexW2020884817MaRDI QIDQ4918167

Silvia Noschese, Paolo Buttà, Nicola Guglielmi

Publication date: 23 April 2013

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0254

zbMATH Keywords

eigenvaluespectral radiusspectral abscissapseudospectrumToeplitz structurestructured pseudospectrum

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (9)

A Novel Iterative Method To Approximate Structured Singular Values ⋮ Matrix Stabilization Using Differential Equations ⋮ The structured distance to singularity of a symmetric tridiagonal Toeplitz matrix ⋮ Computing unstructured and structured polynomial pseudospectrum approximations ⋮ Structured maximal perturbations for Hamiltonian eigenvalue problems ⋮ A gradient system approach for Hankel structured low-rank approximation ⋮ Differential Equations for Real-Structured Defectivity Measures ⋮ An ODE-Based Method for Computing the Distance of Coprime Polynomials to Common Divisibility ⋮ Approximated structured pseudospectra

Uses Software

• Eigtool
• Seigtool

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