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Listar por palabra clave "Drazin inverse"

Mostrando ítems 1-14 de 14

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 results on the reverse order law for the group inverse in rings

Liu, Xiaoji; Zhang, Miao; Benítez López, Julio (Elsevier, 2014-02-25)

In this paper, we use the Drazin inverse to derive some new equivalences of the reverse order law for the group inverse in unitary rings. Moreover, if the ring has an involution, we present more equivalences when both ...
G-Drazin inverse combined with inner inverse

Maharana, G.; Sahoo, J. K.; Thome, Néstor (Taylor & Francis, 2024-02)

[EN] This article introduces new classes of generalized inverses for square matrices named GD1, and the dual, called 1GD inverse. In addition, we discuss a few characterizations and representations of these inverses. The ...
Identifiability for a Class of Discretized Linear Partial Differential Algebraic Equations

Cantó Colomina, Begoña; Coll, Carmen; Sánchez, Elena (Hindawi Publishing Corporation, 2011)

This paper presents the use of an iteration method to solve the identifiability problem for a class of discretized linear partial differential algebraic equations. This technique consists in replacing the partial derivatives ...
On a new generalized inverse for matrices of an arbitrary index

Malik, Saroj B.; Thome, Néstor (Elsevier, 2014-01-01)

[EN] The purpose of this paper is to introduce a new generalized inverse, called DMP inverse, associated with a square complex matrix using its Drazin and Moore-Penrose inverses. DMP inverse extends the notion of core ...
Positive solutions of discrete dynamic Leontief input-output model with possibly singular capital matrix

Jódar Sánchez, Lucas Antonio; Merello Giménez, Paloma (Elsevier, 2010-10)

This paper deals with the construction of solutions of the discrete dynamic Leontief input–output model by using Drazin inverses and a singular discrete difference systems approach. After obtaining a closed form solution ...
Relationships between different sets involving group and Drazin projectors and nonnegativity

Herrero Debón, Alicia; Ramirez, Francisco J.; Thome, Néstor (Elsevier, 2013-02-15)

This paper deals with nonnegativity of matrices and their group or Drazin inverses. Firstly, the nonnegativity of a square matrix A, its group inverse A# and its group projector AA# is used to define different sets for ...
Representations for the generalized Drazin inverse in a Banach algebra

Benítez López, Julio; Liu, X.; Qin, Y. (University of Prishtina, 2013-02-16)

[EN] In this paper, we investigate additive properties for the generalized Drazin inverse in a Banach algebra A. We give some representations for the generalized Drazin inverse of a+b, where a and b are elements of A under ...
Some additive results on Drazin inverse

Liu, X.J.; Qin, X.L.; Benítez López, Julio (Springer Verlag (Germany), 2015-12)

In this paper, we investigate additive results of the Drazin inverse of elements in a ring R. Under the condition ab = ba, we show that a + b is Drazin invertible if and only if aa^D(a+b) is Drazin invertible, where the ...
The class of m-EP and m-normal matrices

Malik, Saroj B.; Rueda, Laura; Thome, Néstor (Taylor & Francis, 2016-11)

The well-known classes of EP matrices and normal matrices are de- fined by the matrices that commute with their Moore-Penrose inverse and with their conjugate transpose, respectively. This paper investigates the class ...
The inverse along an element in rings

Benítez López, Julio; Boasso, Enrico (University of Wyoming Libraries, 2016)

[EN] Several properties of the inverse along an element are studied in the context of unitary rings. New characterizations of the existence of this inverse are proved. Moreover, the set of all invertible elements along a ...
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 W-weighted Drazin-star matrix and its dual

Zhou, Mengmeng; Chen, Jianlong; Thome, Néstor (University of Wyoming Libraries, 2021-02-03)

[EN] After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and Drazin inverse, currently, we found immersed in a new generation of generalized inverses (core inverse, DMP inverse, etc.). ...
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 ...