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

Repositori DSpace/Manakin

dc.contributor.author	Catral, Minerva
dc.contributor.author	Lebtahi, Leila
dc.contributor.author	Stuart, Jeffrey
dc.contributor.author	Thome, Néstor
dc.date.accessioned	2018-05-22T15:13:41Z
dc.date.available	2020-04-11T04:45:06Z
dc.date.issued	2018
dc.identifier.citation	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
dc.identifier.uri	http://hdl.handle.net/10550/66257
dc.description.abstract	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.
dc.language.iso	eng
dc.relation.ispartof	Linear Algebra and its Applications, 2018, vol. 552, p. 85-104
dc.subject	Àlgebra lineal
dc.subject	Matrius (Matemàtica)
dc.title	Matrices A such that A^{s+1}R = RA* with R^k = I
dc.type	journal article	es_ES
dc.date.updated	2018-05-22T15:13:42Z
dc.identifier.doi	10.1016/j.laa.2018.04.010
dc.identifier.idgrec	119745
dc.embargo.terms	2 years
dc.rights.accessRights	open access	es_ES