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CONVERGENCE OF AN ITERATION METHOD WITHOUT DERIVATIVE
引用本文:徐良藏,宓湘江. CONVERGENCE OF AN ITERATION METHOD WITHOUT DERIVATIVE[J]. 高等学校计算数学学报(英文版), 2002, 11(1): 113-120
作者姓名:徐良藏  宓湘江
作者单位:Department of Mathematics, XiXi Campus, Zhejiang University,Hangzhou 310028   
摘    要:In this paper, we give a convergence theorem and error estimates for an iteration method under new Kantorovitch-Ostrowski type condition using the information of higher derivatives at initial points. Compared with the corresponding study in [3],the convergence determination is established under one global condition, instead of two , on the function.


CONVERGENCE OF AN ITERATION METHOD WITHOUT DERIVATIVE
Xu Liangzang Mi Xiangjiang. CONVERGENCE OF AN ITERATION METHOD WITHOUT DERIVATIVE[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 2002, 11(1): 113-120
Authors:Xu Liangzang Mi Xiangjiang
Affiliation:Department of Mathematics, XiXi Campus, Zhejiang University,Hangzhou 310028
Abstract:In this paper, we give a convergence theorem and error estimates for an iteration method under new Kantorovitch-Ostrowski type condition using the information of higher derivatives at initial points. Compared with the corresponding study in [3],the convergence determination is established under one global condition, instead of two, on the function.
Keywords:majorizing function   convergence theorem   error estimates.
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