Abstract
The purpose of this paper is to introduce a new generalized inverse, called DMP inverse,
associated with a square complex matrix using its Drazin and MoorePenrose inverses.
DMP inverse extends the notion of core inverse, introduced by Baksalary and Trenkler
for matrices of index at most 1 in (Baksalary and Trenkler (2010) [1]) to matrices of an arbitrary index. DMP inverses are analyzed from both algebraic as well as geometrical
approaches establishing the equivalence between them.