Hernández, María Valeria; Latanzi, Marina; Thome, Néstor(Taylor & Francis, 2022-12-01)
[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 ...
[EN] In this paper, left and right generalized Drazin invertible operators on Banach spaces are defined and characterized by means of the generalized Kato decomposition. Then, new binary relations associated with these ...
Ferreyra, David Eduardo; Latanzi, Marina; Levis, Fabian; Thome, Néstor(University of Wyoming Libraries, 2019-11)
[EN] Let A and E be n x n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and A(k) EAX = XAEA(k) , for k being the index ...
Ferreyra, David Eduardo; Latanzi, Marina; Levis, Fabian; Thome, Néstor(Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2019)
[ES] En este trabajo se extiende el sistema de ecuaciones matriciales que define las inversas G-Drazin de una matriz cuadrada A (que involucra una matriz fija Y ) al caso de matrices rectangulares, considerando una matriz ...