Convergence ball and error analysis of Ostrowski-Traub’s method

被引：0
|
作者：
Wei-hong Bi
Qing-biao Wu
Hong-min Ren
机构：
[1] Zhejiang University,Department of Mathematics
[2] Hangzhou Radio and TV University,Department of Information and Electronics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2010年 / 25卷
关键词：
Ostrowski-Traub’s method; nonlinear equation; convergence ball; estimate of radius; error analysis; 65A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Under the hypotheses that the second-order and third-order derivatives of a function are bounded, an estimate of the radius of the convergence ball of Ostrowski-Traub’s method is obtained. An error analysis is given which matches the convergence order of the method. Finally, two examples are provided to show applications of our theorem.
引用
收藏
页码：374 / 378
页数：4
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