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Browsing by Author "Levis, Fabian"

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Browsing by Author "Levis, Fabian"

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    Characterizations of k-commutative equalities for some outer generalized inverses 
    Ferreyra, David Eduardo; Levis, Fabian; Thome, Néstor (Taylor & Francis, 2018)
    [EN] In this paper, we present necessary and sufficient conditions for the k-commutative equality , where X is an outer generalized inverse of the square matrix A. Also, we give new representations for core EP, DMP, and ...
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    Left and right generalized Drazin invertible operators on Banach spaces and applications 
    Ferreyra, David Eduardo; Latanzi, Marina; Levis, Fabian; Thome, Néstor (Element d.o.o., 2019-09)
    [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 ...
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    Maximal classes of matrices determining generalized inverses 
    Ferreyra, David Eduardo; Levis, Fabian; Thome, Néstor (Elsevier, 2018-09-15)
    [EN] This paper derives some further results on recent generalized inverses studied in the literature, namely core EP, DMP, and CMP inverses. Our main aim is to develop maximal classes of matrices for which their representations ...
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    Parametrized solutions X of the system AXA = AEA and A^k EAX = XAEA^k for a matrix A having index k 
    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 ...
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    Revisiting the core EP inverse and its extension to rectangular matrices 
    Ferreyra, David Eduardo; Levis, Fabian; Thome, Néstor (Informa UK (National Inquiry Services Center), 2018)
    [EN] In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in [12], Core EP inverse, Linear and Multilinear Algebra62(3) (2014), 792-802. Firstly, we give a new representation and ...
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    Sobre una generalización de las inversas G-Drazin ponderadas 
    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 ...