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Browsing by Author "Ferreyra, David Eduardo"

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Browsing by Author "Ferreyra, David Eduardo"

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    A weak group inverse for rectangular matrices 
    Ferreyra, David Eduardo; Orquera, V.; Thome, Néstor (Springer-Verlag, 2019-10)
    [EN] In this paper, we extend the notion of weak group inverse to rectangular matrices (called WweightedWGinverse) by using the weighted core EP inverse recently investigated. This new generalized inverse also generalizes ...
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    Caracterización de la inversa de grupo débil mediante una ecuación de rangos 
    Ferreyra, David Eduardo; Orquera, V.; Thome, Néstor (Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2019)
    [ES] Si A es una matriz de tamaño n × n compleja invertible, es conocido que se puede caracterizar la inversa de A como la única matriz X que satisface la igualdad de rangos. En este trabajo se presenta una extensión al ...
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    Clases maximales que representan la inversa BT 
    Ferreyra, David; Orquera, V.; Thome, Néstor (Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2019)
    [ES] El principal objetivo de este trabajo es dar representaciones mediante clases maximales que permitan representar la inversa generalizada BT, introducida por Baksalary y Trenkler en 2014, utilizando la descomposición ...
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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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    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 ...