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

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作者：
BI Weihong WU Qingbiao REN Hongmin Department of Mathematics Zhejiang University Hangzhou China Department of Information and Electronics Hangzhou Radio and TV University Hangzhou China [1 ,1 ,2 ,1 ,310027 ,2 ,310012 ]
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AppliedMathematics:AJournalofChineseUniversities(SeriesB) | 2010年 / 25卷 / 03期
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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.
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页码：374 / 378
页数：5
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