A class of modified Newton-like methods

摘要：

An acceleration technique is developed to increase the efficiency and convergent order of Newtons method. Per iteration the new methods require the same evaluations of the function and its first derivative as Newtons method. Analysis of convergence shows that the asymptotic convergent order of these methods is 1 +√3. Therefore these methods works better than Newtons method. Numerical tests verifying the theory are also given.

关键词： Newtons method Non-linear equations Iterative method Root-fmding1. Introduction

作者: Xiuhua Wang Chuanqing Gu Jisheng Kou

作者单位: Department of Mathematics, Shanghai University, Shanghai 200444, China Department of Mathematics, Xi Department of Mathematics, Shanghai University, Shanghai 200444, China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1106-1109

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）