Newton-like iteration methods for solving non-linear equations

被引：10

作者：

Chun, Changbum ^{[1
]}

Ham, YoonMee

机构：

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

[2] Kyonggi Univ, Dept Math, Suwon 442760, South Korea

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2006年 / 22卷 / 05期

关键词：

Newton's method; Newton-like iteration; homotopy perturbation method; non-linear equations; order of convergence;

D O I：

10.1002/cnm.832

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, Newton-like iteration methods for solving non-linear equations or improving the existing iteration methods are proposed. The iteration formulae are obtained by applying the homotopy perturbation method which contains the well-known Newton iteration formula in logic, so those improving the Newton method. The orders of convergence of some of those iteration formulae are derived analytically and by applying symbolic computation of Maple. Some numerical illustrations are given. Copyright (c) 2005 John Wiley & Sons, Ltd.

引用

页码：475 / 487

页数：13

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