On \(\varepsilon\)-spectra and stability radii

DOI10.1016/S0377-0427(02)00480-6zbMath1016.65014OpenAlexW2062511235MaRDI QIDQ1860422

Laurence Grammont, Alain Largillier

Publication date: 23 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00480-6

zbMATH Keywords

stabilityLyapunov stabilityKrylov-subspace iterationOrr-Sommerfeld operatorepsilon-spectrumpartitioning two by two

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (3)

From pseudospectra of diagonal blocks to pseudospectrum of a full matrix ⋮ Pseudospectra localizations and their applications ⋮ Approximation of pseudospectra of block triangular matrices

Uses Software

• mctoolbox
• testmatrix

Cites Work

• Spectral value sets: A graphical tool for robustness analysis
• Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem
• On spectral variations under bounded real matrix perturbations
• On the stability of large matrices
• Numerical range. The field of values of linear operators and matrices
• On the Separation of Two Matrices
• The notion of approximate eigenvalues applied to an integral equation of laser theory
• Calculation of Pseudospectra by the Arnoldi Iteration
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