Eigenvectors of permutation matrices

García Planas, María Isabel; Magret Planas, Maria dels Dolors

doi:10.4236/apm.2015.57038

dc.contributor.author	García Planas, María Isabel
dc.contributor.author	Magret Planas, Maria dels Dolors
dc.contributor.other	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned	2015-06-02T11:56:12Z
dc.date.available	2015-06-02T11:56:12Z
dc.date.created	2015
dc.date.issued	2015
dc.identifier.citation	Garcia-Planas, M.I.; Magret, M. D. Eigenvectors of permutation matrices. "Advances in Pure Mathematics", 2015, vol. 5, p. 390-394.
dc.identifier.issn	2160-0384
dc.identifier.uri	http://hdl.handle.net/2117/28140
dc.description.abstract	The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the minimal annihilating polynomial, and a set of linearly independent eigenvectors from the decomposition in disjoint cycles of the permutation naturally associated to the matrix.
dc.format.extent	5 p.
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.other	Permutation Matrices
dc.subject.other	Eigenvalues
dc.subject.other	Eigenvectors
dc.title	Eigenvectors of permutation matrices
dc.type	Article
dc.subject.lemac	Vectors
dc.subject.lemac	Equacions diferencials lineals
dc.contributor.group	Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric
dc.identifier.doi	10.4236/apm.2015.57038
dc.description.peerreviewed	Peer Reviewed
dc.relation.publisherversion	http://www.scirp.org/journal/apm
dc.rights.access	Open Access
drac.iddocument	15828277
dc.description.version	Postprint (published version)
upcommons.citation.author	Garcia-Planas, M.I.; Magret, M. D.
upcommons.citation.published	true
upcommons.citation.publicationName	Advances in Pure Mathematics
upcommons.citation.volume	5
upcommons.citation.startingPage	390
upcommons.citation.endingPage	394