A High-Order Newton-Like Method  

作　　者：WANG Xiuhua TANG Lijun KOU Jisheng 

机构地区：[1]School of Mathematics and Statistics, Xiaogan University,Xiaogan 432100, Hubei, China [2]Department of Mathematics, Shanghai University, Shanghai 200444, China [3]Microsoft Corporation, Seattle 98004, Washington, USA

出　　处：《Wuhan University Journal of Natural Sciences》2011年第1期4-6,共3页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10826082);the Key Disciplines Project of Shanghai Municipality (S30104);the Shanghai Leading Academic Discipline Project (J50101)

摘　　要：This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order. When the iterative times exceed 2,only one evaluation of the function and one of its first derivative is required by each iteration of the method.Therefore the new method is better than Newton＇s method.This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order. When the iterative times exceed 2,only one evaluation of the function and one of its first derivative is required by each iteration of the method.Therefore the new method is better than Newton＇s method.

关 键 词：non-linear equation iterative method Newton＇s method ROOT-FINDING 

分 类 号：O241.7[理学—计算数学]