H-循环矩阵开m次方的算法

The Algorithm for m^thRoot of H-circulant Matrix

摘要

摘要:通过对H-循环矩阵性质的研究,利用线性方程组理论得到H-循环矩阵开方的算法,开方之后所得的矩阵仍为H-循环矩阵,同时得到种m ⁿ不同的H-循环矩阵,最后给出数值算例进一步验证.

Abstract:By means of research into the property of H-circular matrix and the theory concerning linear equations, the algorithm for square root of H-circular matrix is worked out. The m ^throot of H-circular matrix remains an H-circular matrix. And m ⁿkinds of H-circular matrices are obtained. In the end, the results are further verified by the numerical example.