[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 ...
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 ...
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 ...
[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 ...
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 ...
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 ...
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 ...
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 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 ...
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 ...
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, ...
[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 ...