一种两点迭代法

A Two Point Iteration Method

本文给出了一个求超越方程实根的新的两点格式ｘｋ＋１＝ｘｋ－ｘｋ－ｘｋ－１３ｆ（ｘｋ）－４ｆｘｋ＋ｘｋ－１２＋ｆ（ｘｋ－１）ｆ（ｘｋ），它集弦割法和抛物线法的优点于一身，具有更快的收敛速度，且收敛阶为二阶．

This paper gives a new two point interation method of approximating solutions of the transcendental equation f(x)=0. The iteration algorithm is given by x k+1 =x k-x k-x k-1 3f(x k)-4fx k+x k-1 2+f(x k-1 )f(x k) The order of convergence will be p =2.