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Browsing by Subject "Moore-Penrose inverse"

Now showing items 1-13 of 13

Approximating the inverse and the Moore-Penrose inverse of complex matrices

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Zafar, Fiza (John Wiley & Sons, 2019-11-30)

[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. ...
Co-EP Banach algebra elements

Benítez López, Julio; Boasso, E.; Rakocevic, V. (Tusi Mathematical Research Group, 2015)

[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 ...
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 ...
Inequalities and equalities for l = 2 (Sylvester), l = 3 (Frobenius), and l > 3 matrices

Thome, Néstor (Springer Verlag (Germany), 2016-10)

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 ...
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 ...
On a revisited Moore-Penrose inverse of a linear operator on Hilbert spaces

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 ...
Ordered matrices with nonnegative group projector

Herrero Debón, Alicia; Thome, Néstor (Springer-Verlag, 2020-01-09)

[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 ...
Projections for generalized inverses

Xu, Sanzhang; Chen, Chianlong; Benítez López, Julio (Taylor & Francis, 2018)

[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 ...
Revisiting the core EP inverse and its extension to rectangular matrices

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 ...
Sobre la inversa generalizada core y algunos resultados relacionados

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 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 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, ...