On the Drazin Inverse of the Sum of Two Matrices

We deduce the explicit expressions for (P+Q)D and (PQ)D of two matrices P and Q under the conditions P2Q=PQP and Q2P=QPQ. Also, we give the upper bound of |P+QD-PD|2.

Bibliographic Details
Main Authors: Xiaoji Liu, Shuxia Wu, Yaoming Yu
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/831892