Title

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

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.

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