A family of multi-point iterative methods for solving systems of nonlinear equations

被引：34

作者：

Nedzhibov, Gyurhan H. ^{[1
]}

机构：

[1] Univ Shumen, Fac Math & Informat, Shumen 9700, Bulgaria

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 222卷 / 02期

关键词：

Nonlinear equation; Iterative method; Order of convergence; Chebysev-Halley family family;

D O I：

10.1016/j.cam.2007.10.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend to n-dimensional case known multi-point family of iterative methods for solving nonlinear equations. The family includes as particular cases some well known and also some new methods. The main advantage of these methods is they have order three or four and they do not require the evaluation of any second or higher order Frechet derivatives. A local convergence analysis and numerical examples are provided. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：244 / 250

页数：7

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