Eigenvectors of permutation matrices

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Document typeArticle
Defense date2015
Rights accessOpen Access
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.
CitationGarcia-Planas, M.I.; Magret, M. D. Eigenvectors of permutation matrices. "Advances in Pure Mathematics", 2015, vol. 5, p. 390-394.
ISSN2160-0384
Publisher versionhttp://www.scirp.org/journal/apm
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