Hernández, María ValeriaLatanzi, MarinaThome, Néstor2023-03-272023-03-272022-12-010308-1087https://riunet.upv.es/handle/10251/192621[EN] This paper introduces and investigates a new class of generalized inverses, called GDMP-inverses (and their duals), as a generalization of DMP-inverses. GDMP-inverses are defined from G-Drazin inverses and the Moore-Penrose inverse of a complex square matrix. In contrast to most other generalized inverses, GDMP-inverses are not only outer inverses but also inner inverses. Characterizations and representations of GDMP-inverses are obtained by means of the core-nilpotent and the Hartwig-Spindelböck decompositions.Reserva de todos los derechosGeneralized inverseMoore-Penrose inverseMatrix equationG-Drazin inverse.MATEMATICA APLICADAGDMP-inverses of a matrix and their dualsArtículo10.1080/03081087.2020.1857678Abierto