Fourth-order derivative-free methods for solving non-linear equations

被引：23

作者：

Sharma, JR ^{[1
]}

Goyal, RK ^{[1
]}

机构：

[1] Sant Longowal Inst Engn & Technol, Dept Math, Sangrur 148106, Punjab, India

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2006年 / 83卷 / 01期

关键词：

non-linear equations; root-finding; Newtons method; Steffensens method;

D O I：

10.1080/00207160500113306

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two new one-parameter families of methods for finding simple and real roots of non-linear equations without employing derivatives of any order are developed. Error analysis providing the fourth-order convergence is given. Each member of the families requires three evaluations of function per step, and therefore the method has an efficiency index of 1.587. Numerical examples are presented and the performance of the method presented here is compared with methods available in the literature.

引用

页码：101 / 106

页数：6

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