DOI: 10.3390/math11173661 ISSN:
A Representation of the Drazin Inverse for the Sum of Two Matrices and the Anti-Triangular Block Matrices
Li Guo, Guangli Hu, Deyue Yu, Tian Luan- General Mathematics
- Engineering (miscellaneous)
- Computer Science (miscellaneous)
In this paper, a new formula for the Drazin inverse for the Sum of Two Matrices is given under conditions weaker than those used in some current literature. Further, we apply our results to obtain new representations for the Drazin inverse of an anti-triangular block matrix under some conditions, which also extend some existing results.