Generalized Newton Raphson's method free from second derivative

被引：11

作者：

Nazeer, Waqas ^{[1
]}

Naseem, Amir ^{[2
]}

Kang, Shin Min ^{[3
,4
]}

Kwun, Young Chel ^{[5
]}

机构：

[1] Univ Educ, Div Sci & Technol, Lahore 54000, Pakistan

[2] Lahore Leads Univ, Dept Math, Lahore 54810, Pakistan

[3] Gyeongsang Natl Univ, Dept Math, Jinju 52828, South Korea

[4] Gyeongsang Natl Univ, RINS, Jinju 52828, South Korea

[5] Dong A Univ, Dept Math, Busan 49315, South Korea

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期

关键词：

Nonlinear equations; Newton's method; generalized Newton Raphson's method; Halley's method; VARIATIONAL ITERATION METHOD; HALLEY;

D O I：

10.22436/jnsa.009.05.77

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggest and analyze two new iterative methods for solving nonlinear scalar equations namely: the modified generalized Newton Raphson's method and generalized Newton Raphson's method free from second derivative are having convergence of order six and five respectively. We also give several examples to illustrate the efficiency of these methods. (C) 2016 All rights reserved.

引用

页码：2823 / 2831

页数：9

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