g—轮换矩阵的特征值和对角化
The eigenvalue and diagonalization of g-circulants matrices
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摘要: 本文主要研究了ｎ 级ｇ—轮换矩阵Ａ的特征值和对角化问题，利用排列矩阵的性质和ｇ—轮换矩阵的结构特征，得到了当（ｎ，ｇ）＝ １ 时，ｇ—轮换矩阵Ａ的特征值的一种求法和表示式，并且讨论了它的对角相似矩阵和其它几个结论Abstract: The paper studyies mainly the eigenvalue and diagonal for g-circulants matrices.By using the properties of permutation matrices and structure of g-circulants matrices,we present a algorithm and representer of eigenvalue for g-circulants matrices when (g,n)=1 and discuss the diagonal of g-circulants matrices and other results.
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