A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces

Authors

Yimin Wei, Fudan UniversityFollow
Xiezhang Li, Georgia Southern UniversityFollow
Fanbin Bu, Fudan UniversityFollow

Document Type

Article

Publication Date

2005

Publication Title

SIAM Journal on Matrix Analysis and Applications

DOI

10.1137/S0895479804439948

ISSN

1095-7162

Abstract

A constructive perturbation bound of the Drazin inverse of a square matrix is derived using a technique proposed by G. Stewart and based on perturbation theory for invariant subspaces. This is an improvement of the result published by the authors Wei and Li [Numer. Linear Algebra Appl., 10 (2003), pp. 563--575]. It is a totally new approach to developing perturbation bounds for the Drazin inverse of a matrix. A numerical example which indicates the sharpness of the perturbation bound is presented.

Recommended Citation

Wei, Yimin, Xiezhang Li, Fanbin Bu. 2005. "A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces." SIAM Journal on Matrix Analysis and Applications, 27 (1): 72-81. doi: 10.1137/S0895479804439948
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/569