NAGIOS: RODERIC FUNCIONANDO

Matrices A such that A^{s+1}R = RA* with R^k = I

DSpace Repository

View (368.2Kb)


	Catral, Minerva; Lebtahi, Leila; Stuart, Jeffrey; Thome, Néstor
	This document is a artículoDate2018
	Este documento está disponible también en : http://hdl.handle.net/10550/66257
	We study matrices A in C^{nxn} such that A^(s+1)R = RA* where R^k = I_n, and s, k are nonnegative integers with k >= 2; such matrices are called {R,s + 1,k; }-potent matrices. The s = 0 case corresponds to matrices such that A = RAR^(-1) with R^k = In, and is studied using spectral properties of the matrix R. For s >= 1, various characterizations of the class of {R,s + 1,k, *}-potent matrices and relationships between these matrices and other classes of matrices are presented.
	Catral, Minerva Lebtahi, Leila Stuart, Jeffrey Thome, Néstor 2018 Matrices A such that A^{s+1}R = RA* with R^k = I Linear Algebra and its Applications 552 85 104
	https://doi.org/10.1016/j.laa.2018.04.010