Perforated strict pseudospectra of Demmel's matrices

DOI10.1016/j.laa.2018.03.007zbMath1390.15025OpenAlexW2789366831MaRDI QIDQ1748077

Gorka Armentia, Francisco-Enrique Velasco, Juan-Miguel Gracia

Publication date: 2 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.2018.03.007

zbMATH Keywords

algebraic curveslocal maximasingular valuesisolated points

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Uses Software

• Seigtool

Cites Work

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• On the computation of structured singular values and pseudospectra
• On the boundaries of strict pseudospectra
• Fixing two eigenvalues by a minimal perturbation
• Variational Analysis of Pseudospectra
• A counterexample for two conjectures about stability
• On pseudospectra of matrix polynomials and their boundaries

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