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Listar por palabra clave "Group inverse"

Mostrando ítems 1-9 de 9

Additive results for the group inverse in an algebra with applications to block operators

Benítez López, Julio; Liu, Xiaoji; Zhu, Tongping (Taylor & Francis, 2011)

We derive a very short expression for the group inverse of a(1) + ... + a(n) when a(1), ... , a(n) are elements in an algebra having group inverse and satisfying a(i)a(j) = 0 for i < j. We apply this formula in order to ...
Characterizations of {K,s+1}-Potent Matrices and Applications

Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor (Elsevier, 2012-01-15)

Recently, situations where a matrix coincides with some of its powers have been studied. This kind of matrices is related to the generalized inverse matrices. On the other hand, it is possible to introduce another class ...
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 ...
On a matrix group constructed from an {R,s+1,K}-potent matrix

Catral, M.; Lebtahi Ep-Kadi-Hahifi, Leila; Stuart, Jeffrey; Thome, Néstor (Elsevier, 2014-11-15)

Let R is an element of C-nxn be a {k}-involutory matrix (that is, R-k = I-n) for some integer k >= 2, and let s be a nonnegative integer. A matrix A is an element of C-nxn is called an {R,s + 1, k}-potent matrix if A ...
On the continuity of the group inverse in C*-Algebras

Benítez López, Julio; Cvetkovic-Ilic, D.; Liu, X. (Duke University Press, 2014)

[EN] Let {a_n} be a sequence of group invertible elements of a unital C* algebra A that converges to a. We present some equivalent conditions for the group invertibility of a and for the convergence of {a^#_n} to a#.
On the group inverse of linear combinations of two group invertible matrices

Liu, Xiaoji; Wu, Lingling; Benítez López, Julio (ILAS–the International Linear Algebra Society, 2011-05)

[EN] In this paper, some formulas are found for the group inverse of aP | bQ, where P and Q are two nonzero group invertible complex matrices satisfying certain conditions and a, b nonzero complex numbers.
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 ...
Relationships between different sets involving group and Drazin projectors and nonnegativity

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 ...
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 ...