A geometric construction of iterative functions of order three to solve nonlinear equations

被引：12

作者：

Chun, Changbum ^{[1
]}

机构：

[1] Korea Univ Technol & Educ, Sch Liberal Arts, Cheonan 330708, Chungnam, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 06期

关键词：

Newton's method; iterative methods; iteration function; nonlinear equations; order of convergence; root-finding;

D O I：

10.1016/j.camwa.2007.01.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a geometric construction of iteration functions of order three to develop cubically convergent iterative methods for solving nonlinear equations. This construction can be applied to any iteration function of order two to develop an iteration function of order three. Some examples are given of deriving several third-order iteration methods, and several numerical results follow to illustrate the performance of the derived methods. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：972 / 976

页数：5