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

Li Guo, Guangli Hu, Deyue Yu and Tian Luan ()
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Li Guo: School of Mathematics and Statistics, Beihua University, Jilin City 132013, China
Guangli Hu: School of Mathematics and Statistics, Beihua University, Jilin City 132013, China
Deyue Yu: School of Mathematics and Statistics, Beihua University, Jilin City 132013, China
Tian Luan: School of Mathematics and Statistics, Beihua University, Jilin City 132013, China

Mathematics, 2023, vol. 11, issue 17, 1-16

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.

Keywords: Drazin inverse; index; anti-triangular block matrix; additive formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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