Some new variants of Newton's method

被引：211

作者：

Özban, AY ^{[1
]}

机构：

[1] Atilim Univ, Dept Math, TR-06836 Incek Ankara, Turkey

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 06期

关键词：

Newton's method; iteration function; order of convergence; function evaluations;

D O I：

10.1016/j.aml.2003.08.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some new variants of Newton's method based on harmonic mean and midpoint integration rule have been developed and their convergence properties have been discussed. The order of convergence of the proposed methods are three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed methods and some of the existing ones have also been given. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：677 / 682

页数：6

共 5 条

[1] Accelerated convergence in Newton's method [J].