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Eigenvectors of permutation matrices
García Planas, María Isabel; Magret Planas, Maria dels Dolors
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals. Estudi Geomètric
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.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística
Permutation Matrices
Eigenvalues
Eigenvectors
Vectors
Equacions diferencials lineals
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/publishedVersion
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