On an new Open type variant of Newton 's method

被引：2

作者：

Singh, M. K. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Fac Sci, Dept Math, Varanasi, Uttar Pradesh, India

来源：

JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS | 2014年 / 10卷 / 02期

关键词：

Newton's method; Iteration function; Order of convergence; Function evaluations; Efficiency index; Newton-Cotes formula;

D O I：

10.2478/jamsi-2014-0010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the present paper is to introduce and investigate a new Open type variant of Newton's method for solving nonlinear equations. The order of convergence of the proposed method is three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed method and some of the existing ones have also been given.

引用

页码：21 / 31

页数：11

共 7 条

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