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 ...

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. ...

[en] Let A and B be two generalized quadratic matrices with respect to idempotent matrices P and
Q, respectively, such that (A − αP)(A − βP) = 0, AP = PA = A, (B − γ Q)(B − δQ) = 0, BQ =
QB = B, PQ = QP, AB = BA, and (A ...

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 ...