The convergence ball of Wang's method for finding a zero of a derivative

被引：6
|
作者：
Wu, Qingbiao [1 ]
Ren, Hongmin [2 ]
Bi, Weihong [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
[2] Hangzhou Radio & TV Univ, Coll Informat & Engn, Hangzhou 310012, Zhejiang, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 3-4期
关键词：
Wang's method; Nonlinear equation; Convergence ball; Estimate of radius; Error analysis; SECANT METHOD;
D O I：
10.1016/j.mcm.2008.04.002
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Under the hypotheses that the third-order and fourth-order derivatives of function f are bounded, an estimate of the radius of the convergence ball of Wang's method is obtained. The error analysis is also given. Finally, two numerical examples are provided to show applications of our theorem. (c) 2008 Elsevier Ltd. All rights reserved.
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页码：740 / 744
页数：5
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