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Mostrando ítems 1-18 de 18

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 ...
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 ...
Drazin inverse based numerical methods for singular linear differential systems

Coll Aliaga, Peregrina del Carmen; Ginestar Peiro, Damián; Sánchez Juan, Elena; Thome Coppo, Néstor Javier (ELSEVIER SCI LTD, 2012)

[EN] In this paper, numerical methods for the solution of linear singular differential system are analyzed. The numerical solution of initial value problem by means of a corresponding finite difference approach and a ...
Further properties on the core partial order and other matrix partial orders

Malik, Saroj B.; Rueda, Laura Catalina; Thome, Néstor (Taylor & Francis, 2014-12-02)

This paper carries further the study of core partial order initiated by Baksalary and Trenkler [Core inverse of matrices, Linear Multilinear Algebra. 2010;58:681-697]. We have extensively studied the core partial order, ...
Ínfimos y supremos de matrices complejas

Rueda, Laura; Néstor Thome (Asociación Argentina de Matemática Aplicada, Computacional e Industrial, 2019)

[ES] En este artículo se calculan el ínfimo y el supremo (cuando este último existe) de dos matrices dadas para diferentes ordenes parciales, a partir del estudio de ciertos proyectores ortogonales asociados a las matrices dadas.
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 ...
Nilpotent matrices and the minus partial order

Gareis, María Inés; Lattanzi, Marina; Thome, Néstor (Informa UK (National Inquiry Services Center), 2017)

[EN] In this paper, {1}-inverses of a nilpotent matrix as well as matrices above a given nilpotent matrix under the minus partial order are characterized.
On a partial order defined by the weighted Moore Penrose inverse

Hernández, Araceli Elisabet; Lattanzi, Marina Beatriz; Thome, Néstor (Elsevier, 2013-03-15)

The weighted Moore-Penrose inverse of a matrix can be used to define a partial order on the set of m x n complex matrices and to introduce the concept of weighted-EP matrices. In this paper we study the weighted star partial ...
On some new pre-orders defined by weighted Drazin inverses

Hernández, Araceli Elisabet; Lattanzi, Marina Beatriz; Thome Coppo, Néstor Javier (Elsevier, 2016-05-05)

In this paper, we investigate new binary relations defined on the set of rectangular complex matrices based on the weighted Drazin inverse and give some characterizations of them. These relations become pre-orders and ...
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 ...
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 ...
Solving an open problem about the G-Drazin partial order

Ferreyra, D. E.; Lattanzi, M.; Levis, F. E.; Thome, Néstor (University of Wyoming Libraries, 2020-02)

[EN] G-Drazin inverses and the G-Drazin partial order for square matrices have been both recently introduced by Wang and Liu. They proved the following implication: If A is below B under the G-Drazin partial order, then ...
The diamond partial order in rings

Lebtahi Ep-Kadi-Hahifi, Leila; Patricio, Pedro; Thome, Néstor (Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2014)

In this paper we introduce a new partial order on a ring, namely the diamond partial order. This order is an extension of a partial order defined in a matrix setting in [J.K. Baksalary and J. Hauke, A further algebraic ...
The special elements in a ring related to the Drazin inverses

Lebtahi Ep-Kadi-Hahifi, Leila; Patrício, Pedro; Thome, Néstor (Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2013)

In this article, the existence of the Drazin (group) inverse of an element a in a ring is analysed when amk ¼ kan , for some unit k and m, n 2 N. The same problem is studied for the case when a* ¼ kamk1 and for the {k, ...
The star partial order and the eigenprojection at 0 on EP matrices

Hernández, Araceli Elisabet; Lattanzi, Marina Beatriz; Thome, Néstor; Urquiza, Fabián (Elsevier, 2012-07-01)

[EN] The space of n x n complex matrices with the star partial order is considered in the first part of this paper. The class of EP matrices is analyzed and several properties related to this order are given. In addition, ...
Weighted binary relations involving the Drazin inverse

Hernández, Araceli Elisabet; Lattanzi, Marina Beatriz; Thome, Néstor (Elsevier, 2015-02)

[EN] The Drazin inverse of a matrix has been used in the literature to define a pre-order on the set of square complex matrices. In this paper we analyze new binary relations defined on the set of rectangular complex ...
Weighted G-Drazin inverses and a new pre-order on rectangular matrices

Coll, Carmen; Lattanzi, Marina; Thome, Néstor (Elsevier, 2018)

[EN] This paper deals with weighted G-Drazin inverses, which is a new class of matrices introduced to extend (to the rectangular case) G-Drazin inverses recently considered by Wang and Liu for square matrices. First, we ...
When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?

Ilisevic, Dijana; Thome, Néstor (ILAS–the International Linear Algebra Society, 2012)

[EN] This paper deals with the Hermitian H(A) and skew-Hermitian part S(A) of a complex matrix A. We characterize all complex matrices A such that H(A), respectively S(A), is a potent matrix. Two approaches are used: ...