A Fourth-order Covergence Newton-type Method  

作　　者：WANG Xia ZHAO Ling-ling 

机构地区：[1]Department of Mathematic and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China

出　　处：《Chinese Quarterly Journal of Mathematics》2008年第4期589-593,共5页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Science Foundation of China（10701066）; Supported by the National Foundation of the Education Department of Henan Province（2008A110022）

摘　　要：A fourth-order convergence method of solving roots for nonlinear equation, which is a variant of Newton＇s method given. Its convergence properties is proved. It is at least fourth-order convergence near simple roots and one order convergence near multiple roots. In the end, numerical tests are given and compared with other known Newton and Newton-type methods. The results show that the proposed method has some more advantages than others. It enriches the methods to find the roots of non-linear equations and it is important in both theory and application.

关 键 词：Newton iteration method root-finding method fourth-order convergence numerical test 

分 类 号：O241.7[理学—计算数学]