一个五阶收敛的求解非线性方程的新算法

A NEW ALGORITHM WITH FIFTH-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS

针对非线性方程求解问题,本文在三阶收敛的Newton-Steffensen迭代法的基础上,构造了一个五阶收敛的新算法.与文献中给出的具有相同计算效率的算法相比,本论文给出的算法不需要使用函数的二阶导数.

In this paper,based on Newton-Steffensen＇s iteration method,we propose a new algorithm with fifth-order convergence for solving nonlinear equations.Compared with those methods with the same EI in published literatures,the algorithm presented in this paper do not require evaluation of second derivatives.