Rigorous perturbation bounds for eigenvalues and eigenvectors of a matrix

DOI10.1016/0377-0427(93)E0208-4zbMath0823.15017MaRDI QIDQ1893599

A. S. Deif

Publication date: 5 November 1995

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

zbMATH Keywords

eigenvalueeigenvectorgeneralized eigenvalue problemperturbation boundsmatrix eigensystem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Interface dynamics of a metastable mass-conserving spatially extended diffusion ⋮ Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix ⋮ Landmark diffusion maps (L-dMaps): accelerated manifold learning out-of-sample extension ⋮ Fast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clusters ⋮ A sharp version of Bauer-Fike's theorem ⋮ On maximal entries in the principal eigenvector of graphs ⋮ Perturbation bounds for polynomials ⋮ Microstructure Models and Material Response by Extreme Value Theory ⋮ A method using successive iteration of analysis and design for large-scale topology optimization considering eigenfrequencies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Norms and exclusion theorems
• Generalization of the Bauer-Fike theorem
• Nondiagonable systems under small perturbations
• Sensitivity analysis from the state equations by perturbation techniques
• Methods of matrix algebra
• The Arithmetic of the Digital Computer: A New Approach
• Matrix Polynomials Subjected to Small Perturbations