Eigenvectors of Permutation Matrices  

作　　者：M. Isabel Garca-Planas M. Dolors Magret 

机构地区：[1]Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Barcelona, Spain

出　　处：《Advances in Pure Mathematics》2015年第7期390-394,共5页理论数学进展（英文）

摘　　要：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.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.

关 键 词：PERMUTATION MATRICES EIGENVALUES EIGENVECTORS 

分 类 号：O1[理学—数学]