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Browsing by Subject "Core inverse"

Now showing items 1-10 of 10

Characterizations and perturbation analysis of a class of matrices related to core-EP inverses

Zhou, Mengmeng; Chen, Jianlong; Thome, Néstor (Elsevier, 2021-09)

[EN] Let A, B is an element of C-nxn with ind(A) = k and ind(B) = s and let L-B = (BB)-B-2(sic). A new condition (C-s,C-*): R(A(k)) boolean AND N((B-s)*) = {0} and R(B-s) boolean AND N((A(k))*) = {0}, is defined. Some new ...
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 ...
EP Elements in Rings with Involution

Xu, Sanzhang; Chen, Jianlong; Benítez López, Julio (Springer-Verlag, 2019-11)

[EN] Let R be a unital ring with involution. We first show that the EP elements in R can be characterized by three equations. Namely, let a. R, then a is EP if and only if there exists x. R such that (xa)* = xa, xa(2) = 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, ...
Generalized core inverses of matrices

Xu, Sanzhang; Chen, Jianlong; Benítez López, Julio; Wang, Dingguo (Miskolc University Press, 2019)

[EN] n this paper, we introduce two new generalized inverses of matrices, namely, the < i, m >-core inverse and the (j, m)-core inverse. The < i, m >-core inverse of a complex matrix extends the notions of the core inverse ...
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 the continuity and differentiability of the (dual) core inverse in C*-algebras

Benítez López, Julio; Boasso, Enrico; Xu, Sanzhang (Taylor & Francis, 2020-04-02)

[EN] The continuity of the core inverse and the dual core inverse is studied in the setting of -algebras. Later, this study is specialized to the case of bounded Hilbert space operators and to complex matrices. In addition, ...
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 ...
The weak core inverse

Ferreyra, D. E.; Levis, F. E.; Priori, A. N.; Thome, Néstor (Springer-Verlag, 2021-04)

[EN] In this paper, we introduce a new generalized inverse, called weak core inverse (or, in short, WC inverse) of a complex square matrix. This new inverse extends the notion of the core inverse defined by Baksalary and ...