Pseudospectra of linear matrix pencils by block diagonalization
type: Item
instance of: scholarly article
title: Pseudospectra of linear matrix pencils by block diagonalization
zbMATH Open document ID: 0892.65026
DOI: 10.1007/BF02684362
author: D. Massart
published in: Computing
publication date: 1998-07-15T00:00:00Z
review text: The authors present an algorithm that block-diagonalizes regular matrix pencils using well conditioned transformations. This algorithm is used for approximating the pseudospectra of matrix pencils. Considering various known matrices, the behaviour of the algorithm on different matrix pencils is illustrated.
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A22
zbMATH DE Number: 1130636
zbMATH Keywords: block diagonalization
zbMATH Keywords: numerical examples
zbMATH Keywords: algorithm
zbMATH Keywords: matrix pencils
zbMATH Keywords: pseudospectra
describes a project that uses: testmatrix
describes a project that uses: mctoolbox
reviewed by: Prem Narain
MaRDI profile type: Publication
cites work: An Algorithm for Computing Reducing Subspaces by Block Diagonalization
cites work: Computing the field of values and pseudospectra using the Lanczos method with continuation
cites work: Spectral portrait for non-Hermitian large sparse matrices
cites work: The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
cites work: Computing stable eigendecompositions of matrix pencils
cites work: Computing stable eigendecompositions of matrices
cites work: Q5508985
cites work: Q4868522
cites work: Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
cites work: Q4375650
cites work: Structured Backward Error and Condition of Generalized Eigenvalue Problems
cites work: Computing eigenspaces with specified eigenvalues of a regular matrix pair \((A,B)\) and condition estimation: Theory, algorithms and software
cites work: LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs
cites work: Computation of Pseudospectra by Continuation
cites work: An Algorithm for Generalized Matrix Eigenvalue Problems
cites work: Q3998482
cites work: Q4288951
cites work: Pseudospectra of Linear Operators
cites work: Pseudospectra for matrix pencils and stability of equilibria
description: scientific article; zbMATH DE number 1130636