Approximation of pseudospectra of block triangular matrices

DOI10.1016/j.laa.2020.08.008zbMath1466.15007OpenAlexW3048483685MaRDI QIDQ2029860

Michael Karow, Gorka Armentia, Nandita Roy, Shreemayee Bora

Publication date: 4 June 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2020.08.008

zbMATH Keywords

block upper triangular matricesapproximation of pseudospectrapseudospectra of matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (1)

Fast computation of \(\mathrm{sep}_\lambda\) via interpolation-based globality certificates

Uses Software

• Eigtool

Cites Work

• Unnamed Item
• Unnamed Item
• Computing stable eigendecompositions of matrices
• On \(\varepsilon\)-spectra and stability radii
• Generalizing Eigenvalue Theorems to Pseudospectra Theorems
• On a Perturbation Bound for Invariant Subspaces of Matrices
• An Algorithm to Compute {\boldmath{$\Sep_{\lambda}$}}
• Matrix Analysis
• On the Separation of Two Matrices
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• The Condition Number of Equivalence Transformations That Block Diagonalize Matrix Pencils
• On Stable Eigendecompositions of Matrices
• Matrix theory. Basic results and techniques

This page was built for publication: Approximation of pseudospectra of block triangular matrices