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

Copyright

See the publisher's copyright and reuse policies.

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." Mathematical Sciences: Faculty Presentations (1991-2022). Presentation 266.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/266