用初等变换法求r-循环矩阵的逆矩阵

Solving the Inverse of r-circular Matrix by Elementary Operation

首先给出r-循环矩阵的定义与良好的结构,探讨了r-循环矩阵的相应的线性方程组,然后利用矩阵初等行变换求出线性方程组的解,即可求出r-循环矩阵的逆矩阵.该方法不需要计算三角函数,且具有很少的计算量,显得实用、简便.

This paper explored the related set of linear equations of r-circular matrix,by giving its definition and good structure and then using the elementary row operation of matrix to work out the solution of a set of linear equations-the inverse matrix ofr-circular matrix.The method is practical and convenient with no needs to calculate trigonometric func tion and small calculation amount.