| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4640258 | Journal of Computational and Applied Mathematics | 2011 | 6 Pages |
Abstract
In this paper, a representation of (P+Q)D(P+Q)D such that PQP=0PQP=0, PQ2=0PQ2=0 is given, which recovers the case PQ=0PQ=0 studied by Hartwig et al. [R.E. Hartwig, G. Wang, Y. Wei, Some additive results on Drazin inverse, Linear Algebra Appl., 322 (2001) 207–217]. Furthermore, we apply our results to establish the representations for the Drazin inverses of a 2×22×2 partitioned matrix M=(ABCD), where AA and DD are square matrices. Finally, two numerical examples are given to illustrate our results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hu Yang, Xifu Liu,