On a new generalized inverse for matrices of an arbitrary index

[EN] 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 Moore-Penrose 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. (C) 2013 Elsevier Inc. All rights reserved.This author was partially supported by Ministry of Education of Spain (Grant DGI MTM2010-18228).Malik, SB.; Thome, N. (2014). On a new generalized inverse for matrices of an arbitrary index. Applied Mathematics and Computation. 226:575-580. doi:10.1016/j.amc.2013.10.06057558022