Further characterizations of the m-weak group inverse of a complex matrix

Abstract

In this paper, we introduce certain different characterizations and several new properties of the m-weak group inverse of a complex matrix. Also, the relationship between the m-weak group inverse and a nonsingular bordered matrix is established as well as the Cramer's rule for the solution of the restricted matrix equation that depends on the m-weak group inverse.

Keywords

• weak group inverse
• m-weak group inverse
• core-ep inverse
• core-ep decomposition