允许k次幂等和对角化的符号模式矩阵

Matrix of Coincidence Mode with Acceptable K-power of Similarity and Diagonalization

刻画符号模式矩阵的允许对角化一直是一个著名的开问题。文章给出了一个符号k次幂等符号矩阵允许k次幂等的充要条件,同时,也获得了一个符号k次幂等符号模式矩阵允许k次幂等也允许对角化的结论。

The acceptable diagonalization of mat rix in symbolic pattern has always been a well-known open problem. In this paper,the matrix of K-power symbolic pattern which accepts the necessary and sufficient condition for symbols like K-power is offered. Meanwhile,the result that a sign K-power symbolic pattern matrix accepts both k-powers and diagonalizability is obtained.