# Explicit representations of the Drazin inverse of block matrix and modified matrix ?

@inproceedings{CvetkovicIlic2007ExplicitRO, title={Explicit representations of the Drazin inverse of block matrix and modified matrix ?}, author={Dragana S. Cvetkovic-Ilic and Jianbiao Chen and Zhaoliang Xu}, year={2007} }

- Published 2007

A new result on the Drazin inverse of 2× 2 block matrix M = [ A B D C ] , where A and C are square matrices are presented, extended in the case when D = 0, the well known representation for the Drazin inverse of M , given by Hartwig, Meyer and Rose in 1977, respectively. Using that new result, an explicit representation for the Drazin inverse of a modified matrix P + RS and its generalized matrix PQ + RS are also presented.