Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631979 | Applied Mathematics and Computation | 2011 | 6 Pages |
Abstract
Consider a 2×22×2 block complex square matrix M=ABCD, where A and D are square matrices. Suppose that (I-AAD)B=O(I-AAD)B=O and C(I-AAD)=OC(I-AAD)=O, where ADAD is the Drazin inverse of A . The representations of the Drazin inverse MDMD have been studied in the case where the generalized Schur complement, S=A-CADBS=A-CADB, is either zero or nonsingular. In this paper, we develop a representation, under certain conditions, for MDMD when S is singular and group invertible. Moreover, this formula includes the case where S=OS=O or nonsingular. A numerical example is given to illustrate the result.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiezhang Li,