Some modified Newton-type methods with order of convergence varied from two to six under weak conditions

被引：5

作者：

Fang, Liang ^{[1
,4
]}

He, Guoping ^{[2
,4
]}

Hu, Yunhong ^{[2
,3
]}

Sun, Li ^{[4
]}

机构：

[1] Taishan Univ, Coll Math & Syst Sci, Tai An 271021, Shandong, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China

[3] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Peoples R China

[4] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 2, PROCEEDINGS | 2009年

基金：

中国国家自然科学基金;

关键词：

NONLINEAR EQUATIONS; CUBIC CONVERGENCE;

D O I：

10.1109/CSO.2009.284

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present some modified Newton-type methods for solving nonlinear equations. These algorithms are free from second derivatives and permit f'(x) = 0 in some iteration points. The convergent analysis demonstrates that the order of convergence and the efficiency index of the present methods are better. than that of the classical Newton's method. Some numerical examples are given to illustrate their efficiency and performance.

引用

页码：637 / +

页数：2

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