小波预处理在系统计算中的应用

利用小波压缩技巧，获得一种求解线性系统的预处理器。通过将系数矩阵A进行小波变换得到压缩矩阵A，然后再用标准方法求A的近似逆。利用经过小波处理后矩阵A的条件数较好的特点．从而使得求解有较好的稳定性。并给出数值试验结果表明该方法的有效性。

Wavelet Preconditioning And Its Application in System Engineering Computing

In this paper, a preconditioner for solving large spare linear system was presented. The main method is firstly to represent the coefficient matrix with wavelet basis before applying standard approximate inverse techniques to find the approximate inverse of . In this process, the matrix , which is the discrete wavelet transform of A , has good condition than the matrix A , and so is stable in solving linear equations. Numerical results indicate that our approach is effective.