NAGIOS: RODERIC FUNCIONANDO

On a matrix group constructed from an {R,s+1,k}-potent matrix

Repositori DSpace/Manakin

IMPORTANT: Aquest repositori està en una versió antiga des del 3/12/2023. La nova instal.lació está en https://roderic.uv.es/

On a matrix group constructed from an {R,s+1,k}-potent matrix

dc.contributor.author	Catral, Minerva
dc.contributor.author	Lebtahi, Leila
dc.contributor.author	Stuart, Jeffrey
dc.contributor.author	Thome, Néstor
dc.date.accessioned	2017-03-21T16:08:43Z
dc.date.available	2017-03-21T16:08:43Z
dc.date.issued	2014
dc.identifier.citation	Catral, Minerva Lebtahi, Leila Stuart, Jeffrey Thome, Néstor 2014 On a matrix group constructed from an {R,s+1,k}-potent matrix Linear Algebra and its Applications 461 200 210
dc.identifier.uri	http://hdl.handle.net/10550/57739
dc.description.abstract	Let R∈C^(n×n) be a {k}-involutory matrix (that is, R^k=I_n) for some integer k≥2, and let s be a nonnegative integer. A matrix A∈C^(n×n) is called an {R,s+1,k}-potent matrix if A satisfies R A = A^(s+1) R. In this paper, a matrix group corresponding to a fixed {R,s+1,k}-potent matrix is explicitly constructed, and properties of this group are derived and investigated. This group is then reconciled with the classical matrix group G_A that is associated with a generalized group invertible matrix A. Let R∈Cn×n be a {k}-involutory matrix (that is, Rk=In) for some integer k≥2, and let s be a nonnegative integer. A matrix A∈Cn×n is called an {R,s+1,k}-potent matrix if A satisfies RA=As+1R. In this paper, a matrix group corresponding to a fixed {R,s+1,k}-potent matrix is explicitly constructed, and properties of this group are derived and investigated. This group is then reconciled with the classical matrix group GA that is associated with a generalized group invertible matrix A.
dc.language.iso	eng
dc.relation.ispartof	Linear Algebra and its Applications, 2014, vol. 461, p. 200-210
dc.subject	Matrius (Matemàtica)
dc.subject	Àlgebra lineal
dc.title	On a matrix group constructed from an {R,s+1,k}-potent matrix
dc.type	journal article	es_ES
dc.date.updated	2017-03-21T16:08:44Z
dc.identifier.doi	10.1016/j.laa.2014.08.005
dc.identifier.idgrec	114151
dc.rights.accessRights	open access	es_ES