Eigenvectors of permutation matrices

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric
dc.contributor.author	García Planas, María Isabel
dc.contributor.author	Magret Planas, Maria dels Dolors
dc.date	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.citation	2160-0384
dc.identifier.citation	10.4236/apm.2015.57038
dc.identifier.uri	http://hdl.handle.net/2117/28140
dc.language.iso	eng
dc.relation	http://www.scirp.org/journal/apm
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Permutation Matrices
dc.subject	Eigenvalues
dc.subject	Eigenvectors
dc.subject	Vectors
dc.subject	Equacions diferencials lineals
dc.title	Eigenvectors of permutation matrices
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
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.description.abstract	Peer Reviewed

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