Matrices A such that RA = A^s+1 R when R^k = I

Lebtahi Ep-Kadi-Hahifi, LeilaStuart, J.Thome, NéstorWeaver, J.R.2014-11-142014-11-142013-080024-3795https://riunet.upv.es/handle/10251/44149This 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. The cases s = 0 and s 1 are considered separately since they are analyzed by different techniques.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Potent matrixIdempotent matrixSpectrumJordan formInvolutory matrixMATEMATICA APLICADAMatrices A such that RA = A^s+1 R when R^k = IArtículo10.1016/j.laa.2012.10.034Abierto