加速牛顿迭代收敛方法的修正

A new method for accelerating the convergence of Newton's iteration

提出了加速牛顿迭代收敛的新方法,构造出一类多因子牛顿迭代格式,通过选取最优因子使得该格式具有高阶收敛性和较小的误差常数.

In this paper, a new method has been proposed for accelerating the convergence of Newton's iteration and zeng[1] and a kind of multiple-factor of Newton's iterative schem has also been constructed. It is demonstrated that the iterative scheme can have higher-order convergence and smaller asymptotic error constant by virtue of choosing the optimal factor appropriately.