New perturbation bounds for the W-weighted Drazin inverse |
| |
Authors: | Lijing Lin Xiaoke Cui |
| |
Affiliation: | 1. Institute of Mathematics, Fudan University, 200433, Shanghai, P. R. China
|
| |
Abstract: | The constructive perturbation bounds for the W-weighted Drazin inverse are derived by two approaches in this paper. One uses the matrixG = [(A+E)W]l?(AW)l, whereA, E ∈ C mxn ,W ∈ C nxm ,l = max Ind(AW), Ind[(A + E)W]. The other uses a technique proposed by G. Stewart and based on perturbation theory for invariant subspaces of a matrix. The new approaches to develop perturbation bounds for W-weighted Drazin inverse of a matrix extend the previous results in [19, 29, 31, 36, 42, 44]. Several examples which indicate the sharpness of the new perturbation bounds are presented. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|