[EN] A parametric family of fourth-order schemes for computing the inverse and the Moore-Penrose inverse of a complex matrix is designed. A particular value of the parameter allows us to obtain a fifth-order method. ...
[EN] In this work, given a unital Banach algebra A and a \in A such that a has a Moore-Penrose inverse a^+, it will be characterized when a^+ a - a a^+ is invertible. A particular subset of this class of objects wil also ...
Hernández, M. V.; Lattanzi, M. B.; Thome, Néstor(Springer-Verlag, 2021-07)
[EN] This paper deals with new generalized inverses of rectangular complex matrices, namely 1MP and MP1-inverses. They are constructed from oblique projectors represented by means of inner generalized inverses, by using ...
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 ...
Hernández, María Valeria; Latanzi, Marina; Thome, Néstor(Taylor & Francis, 2022-12-01)
[EN] This paper introduces and investigates a new class of generalized inverses, called GDMP-inverses (and their duals), as a generalization of DMP-inverses. GDMP-inverses are defined from G-Drazin inverses and the ...
This paper gives simple proofs of Sylvester (` = 2) and Frobenius
(` = 3) inequalities. Moreover, a new sufficient condition for the
equality of the Frobenius inequality is provided. In addition, an extension
for ` > 3 ...
Hernández, M. V.; Lattanzi, Marina B.; Thome, Néstor(Springer-Verlag, 2022-10)
[EN] This paper introduces 2MP-inverses, MP2-inverses, and C2MP-inverses, for rectangular matrices following a different approach to that used in the recent literature. These new inverses generalize some classical inverses ...
[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 ...
Malik, Saroj B.; Thome, Néstor(National Library of Serbia, 2017)
[EN] For two given Hilbert spaces H and K and a given bounded linear operator A is an element of L(H, K) having closed range, it is well known that the Moore-Penrose inverse of A is a reflexive g-inverse G is an element ...
[EN] In this paper, the most usual matrix partial orders are considered on the ring of real matrices. These orders are studied on at most index 1 matrices having nonnegative group projector by using a specific block ...
[EN] Let R be a unital ring with involution. In Section 2, for given two core invertible elements a, b. R, we investigate mainly the absorption law for the core inverse in virtue of the equality of the projections aa and ...
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 ...
Orquera, Valentina(Universitat Politècnica de València, 2019-10-25)
[ES] El Análisis Matricial constituye un área muy importante de la Matemática Aplicada y es una herramienta fundamental para el desarrollo de muchas aplicaciones de distintas ramas de la ciencia y la tecnología.
Algunos ...
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 ...
[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, ...
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.). ...