Characterizations and representations of the core inverse and its applications
Haifeng Ma, Tingting Li · Linear and Multilinear Algebra · 2019
In this paper, we present the characterizations of the core inverse by the matrix equations. We give several representations for computing the core inverse. We explore the relationship between the core inverse and the nonsingularity of a bordered matrix by the Cramer rule. We also give an iterative formula for computing the core inverse and present a sufficient condition for the convergence of the iterative process.