Using wavelet, we design new interpolation and prolongation operators to develop fast algorithm for solving Toeplitz equations via multi-band wavelet and MGM, efficiency of the method is verified by numerical experimentation.

• 利用小波变换设计了多重网格算法迭代过程中的延拓与插值算子，提出了基于多进制小波与多重网格算法的Toeplitz系统求解，数值实验验证了算法的有效性。