| THE ERROR ESTIMATES OF HALLEY'S METHOD |
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| 作者姓名： | 韩丹夫 王兴华 |
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| 作者单位： | Han Dan-fu Department of Mathematics，Hangzhou University，Hangzhou 310028，PRV
Wang Xing-hua Department of Mathematics，Hangzhou University，Hangzhou 310028，PRV |
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| 基金项目： | Jointly supported by China Major Key Project for Basic Researcher and Provincial Natrual Science Foundation. |
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| 摘 要： | In this paper we give an almost sharp error estimate of Halley's iteration for the majorizing sequence. Compared with the corresponding results in 6,14], it is far better. Meanwhile,the convergence theorem is established .for Halley's iteration in Banach spaces.
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THE ERROR ESTIMATES OF HALLEY'S METHOD |
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| Han Dan-fu.THE ERROR ESTIMATES OF HALLEY''''S METHOD[J].Numerical Mathematics A Journal of Chinese Universities English Series,1997(2). |
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| Authors: | Han Dan-fu |
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| Institution: | Han Dan-fu Department of Mathematics,Hangzhou University,Hangzhou 310028,PRV
Wang Xing-hua Department of Mathematics,Hangzhou University,Hangzhou 310028,PRV |
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| Abstract: | In this paper we give an almost sharp error estimate of Halley's iteration for the ma-jorizing sequence. Compared with the corresponding results in 6,14], it is far better. Meanwhile, the convergence theorem is established for Halley's iteration in Banach spaces. |
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| Keywords: | Halley's method error estimates majorizing function convergence theorem |
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