Bordering method to compute Core-EP inverse

Abstract

Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized inverse. The main result of the paper also leads to provide a characterization of Drazin index in terms of bordering.

Keywords

• core-ep inverse
• core-ep generalized inverse
• outer inverse
• bordered matrix
• 15a09
• 15a18