A class of Newton's methods with third-order convergence

被引：20

作者：

Zhou Xiaojian ^{[1
]}

机构：

[1] Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 09期

关键词：

variants of Newton's method; simple roots; power mean; cubic convergence; generalization;

D O I：

10.1016/j.aml.2006.09.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a class of iterative Newton's methods, known as power mean Newton's methods, is proposed. Some known results can be regarded as particular cases. It is shown that the order of convergence of the proposed methods is 3. Numerical results are given to verify the theory and demonstrate the performance. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1026 / 1030

页数：5

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