Work

A Representation of the Drazin Inverse for the Sum of Two Matrices and the Anti-Triangular Block Matrices

Year: 2023

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math11173661

Authors: Li Guo, Guangli Hu, Deyue Yu, Tian Luan

Institution: Beihua University

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,336

Funders: National Natural Science Foundation of China, People's Government of Jilin Province, Beihua University