不对称问题的极小残量方法

Minimal Residual Polynomial Methodon the Unsymmetric System

讨论用极小残量法来解决不对称问题.先简单介绍用极小残量法解决对称问题的基本算法.然后把不对称问题转化为对称问题,在转化过程中,可简化中间的不必要步骤,给出了不对称问题的简单算法.最后作了数值试验,取得了满意效果.

It mainly discusses the minimal residual polynomial method for solving the unsymmetric system. It simply introduces the minimal residual polynomial method for symmetric problem and comes up with the basic algorithm. As to the unsymmetric system, it is converted into symmetric one. Obviously, the method can be used for symmetric system to solve the unsymmetric system. Furthermore, in the converting process, it can simplify some unnecessary steps and obtain a simple algorithm to the unsymmetric system. Then some numerical experiments are made to test the results and get some satisfied results.