Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices - Application of Perturbation Theory for Simple Invariant Subspaces

Presenters/Authors

Xiezhang Li, Georgia Southern UniversityFollow
Yimin Wei, Fudan UniversityFollow
Fanbin Bu, Fudan UniversityFollow
Fuzhen Zhang, Nova Southeastern University- Fort LauderdaleFollow

Document Type

Presentation

Presentation Date

7-18-2006

Abstract or Description

Perturbation bounds for the relative error in the eigenvalues of diagonalizable and singular matrices are derived by using perturbation theory for simple invariant subspaces of a matrix and the group inverse of a matrix. These upper bounds are supplements to the related perturbation bounds for the eigenvalues of diagonalizable and nonsingular matrices.

Sponsorship/Conference/Institution

International Linear Algebra Society Annual Conference (ILAS)

Location

Amsterdam, Netherlands

Recommended Citation

Li, Xiezhang, Yimin Wei, Fanbin Bu, Fuzhen Zhang. 2006. "Relative Perturbation Bounds for the Eigenvalues of Diagonalizable and Singular Matrices - Application of Perturbation Theory for Simple Invariant Subspaces." Department of Mathematical Sciences Faculty Presentations. Presentation 266.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/266