大型线性方程组的变分迭代解法

本文提出了一种求解大型线性方程组的一种新方法——变分迭代解法．这种方法的基本思想是：先给方程一个近似的初值，然后引进若干个拉氏乘子校正其近似值，而拉氏乘子可用极值的概念最佳确定．这种方法收敛速度较快，如果只取ｎ个拉氏乘子（ｎ为方程个数），则该方法即为Ｎｅｗｔｏｎ迭代法．

Variational Iterative Solution of Large Linear System

In the paper, the author has proposed a novel method called variational iteration method to solve large linear system. With such method, a more accurate approximation can be arrived at by successive correction to its original approximate solution by means of Lagrange multipliers, which can be identified readily by making the correction equations stationary.