Computing spectral value sets using the subharmonicity of the norm of rational matrices
type: Item
instance of: scholarly article
title: Computing spectral value sets using the subharmonicity of the norm of rational matrices
zbMATH Open document ID: 0907.65039
DOI: 10.1007/BF02510914
author: E. Gallestey
published in: BIT
publication date: 1998-08-02T00:00:00Z
review text: Using the principle of subharmonicity for the minimal singular value function of \(sI-A\), the proposed spectral value set algorithm uses a predictor and corrector step that decreases and enlarges an approximation of the spectral value set for structured perturbations of a given matrix \(A\). This method is approximately 35\% faster than the singular value decomposition approach to the pseudospectrum evaluation.
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 1158318
zbMATH Keywords: pseudospectrum
zbMATH Keywords: spectral value set
zbMATH Keywords: subharmonic function
zbMATH Keywords: minimal singular value function
zbMATH Keywords: algorithm
zbMATH Keywords: singular value decomposition
reviewed by: Frank Uhlig
describes a project that uses: nag
describes a project that uses: PVM
describes a project that uses: testmatrix
describes a project that uses: NAG
describes a project that uses: mctoolbox
MaRDI profile type: Publication
cites work: Computing the field of values and pseudospectra using the Lanczos method with continuation
cites work: A curve tracing algorithm for computing the pseudospectrum
cites work: Q3872710
cites work: Q4891458
cites work: Q4868522
cites work: Spectral value sets: A graphical tool for robustness analysis
cites work: Q4312547
cites work: Stability radius for structured perturbations and the algebraic Riccati equation
cites work: On spectral variations under bounded real matrix perturbations
cites work: Q3356185
cites work: Computation of Pseudospectra by Continuation
cites work: Pseudospectra of the Orr–Sommerfeld Operator
cites work: Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues
cites work: Calculation of Pseudospectra by the Arnoldi Iteration
cites work: Q4288951
description: scientific article; zbMATH DE number 1158318