关于鳞状因子循环矩阵的对数矩阵

On Logarithmic Matrices of Scaled Circulant Factor Matrices

利用快速傅里叶变换给出了计算鳞状因子循环矩阵的对数矩阵的一种快速算法,同时证明了这类矩阵的对数矩阵中仍为鳞状因子循环的矩阵构成的集合为可数无穷集。最后还给出了求鳞状因子循环矩阵的主对数矩阵的算法。

In this paper,we present a fast algorithm for computing the logarithms of the scaled circulant factor matrices by fast Fourier transform.At the same time,we prove that the number of the logarithms of the scaled circulant factor matrices is countable infinite.Finally,an algorithm for computing the principal logarithm matrix is given.