A new method of secant-like for nonlinear equations

被引：7
|
作者：
Zhang Hui [1 ]
Li De-Sheng [1 ]
Liu Yu-Zhong [1 ]
机构：
[1] Shenyang Normal Univ, Sch Math & Systemat Sci, Shenyang 110034, Liaoning, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 07期
关键词：
Iterative method; Convergence; Newton's method; The method of secant; ITERATIVE METHODS; NEWTONS METHOD; 2ND-DERIVATIVE-FREE VARIANTS; FAMILY;
D O I：
10.1016/j.cnsns.2008.11.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new method for solving nonlinear equations f(x) = 0 is presented. In many literatures the derivatives are used, but the new method does not use the derivatives. Like the method of secant, the first derivative is replaced with a finite difference in this new method. The new method converges not only faster than the method of secant but also Newton's method. The fact that the new method's convergence order is 2.618 is proved, and numerical results show that the new method is efficient. (C) 2008 Elsevier B.V. All rights reserved.
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页码：2923 / 2927
页数：5
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