We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices, Electron. J. Linear Algebra 20 (2010) 207-225. Also, we present some consequences of this result. (C) 2012 Elsevier Inc. ...
Ferreyra, David Eduardo; Orquera, V.; Thome, Néstor(Springer-Verlag, 2019-10)
[EN] In this paper, we extend the notion of weak group inverse to rectangular matrices (called WweightedWGinverse) by using the weighted core EP inverse recently investigated. This new generalized inverse also generalizes ...
We find expressions for many types of generalized inverses of an arbitrary square
complex matrix by using two representations given in [Benítez J. A new decomposition
for square matrices. Electron. J. Linear Algebra. ...
Let R be a ring and a, b is an element of R satisfy aba = a and bab = b. We characterize when ab - ba is invertible. This study is specialized when R has an involution and when b is the Moore-Penrose inverse of a.
Ferreyra, David Eduardo; Levis, Fabian; Thome, Néstor(Elsevier, 2018-09-15)
[EN] This paper derives some further results on recent generalized inverses studied in the literature, namely core EP, DMP, and CMP inverses. Our main aim is to develop maximal classes of matrices for which their representations ...
In this work we study conditions for guaranteeing the nonnegativity of a discrete-time
singular control system. A first approach can be found in the literature for general systems, using the whole coefficient matrices. ...
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] Let {Am}
¿
m=1
be a sequence of complex group invertible matrices that converges to
A. We characterize when A is group invertible and {A
#
m}
¿
m=1
converges to A
#
in terms of the
canonical angles between ...
Ferreyra, David Eduardo; Latanzi, Marina; Levis, Fabian; Thome, Néstor(University of Wyoming Libraries, 2019-11)
[EN] Let A and E be n x n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and A(k) EAX = XAEA(k) , for k being the index ...
[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 ...
Hongwei, J.; Benítez López, Julio(ILAS–the International Linear Algebra Society, 2015-12)
In this paper, it is given equivalent conditions for the absorption laws in terms of the Moore-Penrose, group, core inverse, core inverse dual, {1}, {1,2}, {1,3}, and {1,4} inverses in rings. The results given here extend ...
[EN] In this paper, we recall and extend some tensor operations. Then, the generalized inverse of tensors is established by using tensor equations. Moreover, we investigate the leastsquares solutions of tensor equations. ...
The inverse eigenvalue problem and the associated optimal approximation problem for
Hermitian reflexive matrices with respect to a normal {k+1}-potent matrix are considered. First, we study the existence of the solutions ...