摘要
本文提出了解超越方程的一种迭代法——多重 Steffensen 迭代法.此方法是在 Steffensen法的基础上,采用一种多重迭代格式而建立的,它一方面保持了 Steffensen 法不计算函数导数的特点,同时又大大加快了收敛速度.本文在给出格式的同时证明了在一定条件下迭代格式的收敛性.
This paper puts forward one iteration method of solving a transcendental equation——the it- eration method of the double Steffensen.This method uses a double iteration form on the base of the Steffensen method and it not only keeps the character that the Steffensen method doesn′t cal- culate the derivative of function but also greatly speeds up convergence rate.Then,this paper gives the iteration form and proves its convergence under a certain condition.
