加速牛顿迭代收敛的新方法

A New Method for Accelerating the Convergence of Newton's Iteration

提出了加速牛顿迭代收敛的新思想,构造出一类加权牛顿迭代格式,通过选取最优加权因子,使得该格 式具有高阶收敛性和较小的渐近误差常数.

This paper proposes a new idea for accelerating the convergence of Newton's method and constructs a kind of weighted Newton's iterative schemes. Through Choosing the optimal weighted factor to make the scheme with higher-order convergence and smaller asymptotic error constant.