关于友循环矩阵开平方的一种算法

An Algorithm for Computing the Square-Rooting Matrices of the Companion Circulant Matrix

给出了求友循环矩阵的平方根矩阵的一种算法,同时证明了n阶友循环矩阵的平方根矩阵中仍为友循环矩阵的矩阵个数为2n个。最后还给出了求友循环矩阵主平方根矩阵的算法。

In this paper, an algorithm for computing the square- rooting matrices of the companion circulant matrix is given.At the same time,the number of the square- rooting matrices of the companion circulant matrix which are still companion circulant matrices is 2^n . At last,an algorithm for computing the principal square -rooting matrix is given.