On Householder sets for matrix polynomials

DOI10.1016/j.laa.2019.09.037zbMath1476.15022OpenAlexW2977704222WikidataQ114664019 ScholiaQ114664019MaRDI QIDQ2332457

Thomas R. Cameron, Panayiotis J. Psarrakos

Publication date: 4 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.09.037

zbMATH Keywords

eigenvaluematrix polynomialspseudospectraGershgorin setsHouseholder sets

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) Matrix pencils (15A22)

Uses Software

• Eigtool

Cites Work

• On condition numbers of polynomial eigenvalue problems
• Pseudospectra, critical points and multiple eigenvalues of matrix polynomials
• On the Geršgorin-type localizations for nonlinear eigenvalue problems
• Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications
• Geršgorin-type localizations of generalized eigenvalues
• On the Pseudospectra of Matrix Polynomials
• Matrix Polynomials
• Localization Theorems for Nonlinear Eigenvalue Problems
• On pseudospectra of matrix polynomials and their boundaries
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