利用对称振子圆阵的对称性，得到广义阻抗矩阵及其逆矩阵是分块矩阵且为对称循环矩阵的对称循环分块矩阵的结论，给出阻抗矩阵元素计算和阻抗矩阵求逆的快速算法．结果表明，在保证精度的同时，矩阵元素计算时间缩短到一般算法的３％ 左右，矩阵求逆时间缩短到原来的２５％ 左右． By using the symmetry of the symmetric oscillators, we get the conclusion that the generalized impedance matrix and its inverse matrix are the block matrix and the symmetric circulant partition matrix of the symmetric cyclic matrix, and the fast algorithm for computing the impedance matrix and inverting the impedance matrix is ​​given. The results show that, while ensuring accuracy, the matrix element calculation time is reduced to about 3% of the general algorithm, matrix inversion time is reduced to about 25% of the original.