[EN] In previous papers, the authors introduced and characterized a class of matrices called
{K, s+1}-potent. Also, they established a method to construct these matrices. The purpose
of this paper is to solve the associated ...

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 ...

Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor(Elsevier, 2014-12)

Centro-invertible matrices are introduced by R.S. Wikramaratna in 2008. For an involutory
matrix R, we define the generalized centro-invertible matrices with respect to R to be
those matrices A such that RAR = A^−1. ...

This paper examines matrices A is an element of C-nxn such that RA = A(s+1) R where R-k = I, the identity matrix, and where sand k are nonnegative integers with k >= 2. Spectral theory is used to characterize these matrices. ...

Lebtahi Ep-Kadi-Hahifi, Leila; Thome, Néstor(International Linear Algebra Society (ILAS), 2012-02)

In a previous paper, the authors introduced and characterized a new kind of matrices
called {K,s+1}-potent. In this paper, an associated group to a {K, s+1}-potent matrix is explicitly constructed and its properties are ...

Lebtahi Ep-Kadi-Hahifi, Leila; Romero Martínez, José Oscar; Thome, Néstor(Elsevier, 2013)

In this paper, {K, s + 1}-potent matrices are considered. A matrix A in C{nxn} is called {K, s + 1}-potent when KA^(s+1)K = A where K is an involutory matrix and s in {1, 2, 3, . . .}. Specifically, {K, s + 1}-potent ...