| Stieltjes-Thiele型有理插值公式 |
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| 引用本文： | 唐烁,郑涛,郑永明.Stieltjes-Thiele型有理插值公式[J].鲁东大学学报,2010,26(2). |
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| 作者姓名： | 唐烁 郑涛 郑永明 |
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| 作者单位： | 唐烁,郑涛,TANG Shuo,ZHENG Tao(合肥工业大学,数学学院,合肥,230009);郑永明,ZHENG Yong-ming(鲁东大学,电子与电气工程学院,山东,烟台,264025) |
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| 基金项目： | 安徽省自然科学基金资助项目，安徽省教育厅重点项目 |
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| 摘 要： | 通过定义偏逆差商和混合逆差商,在Thiele型有理插值的基础上通过与Stieltjes型连分式相结合而构造了方形网格上的Stieltjes-Thiele有理插值公式.该插值算法满足所给的插值条件,同时给出了其特征定理和误差估计.最后用数值例子验证了本文插值算法的有效性.
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| 关 键 词： | 有理插值 特征定理 误差估计 连分式 |
The Stieltjes-Thiele-Type Rational Interpolation Formula |
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| TANG Shuo,ZHENG Tao,ZHENG Yong-ming.The Stieltjes-Thiele-Type Rational Interpolation Formula[J].Ludong University Journal (Natural Science Edition),2010,26(2). |
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| Authors: | TANG Shuo ZHENG Tao ZHENG Yong-ming |
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| Institution: | TANG Shuo1,ZHENG Tao1,ZHENG Yong-ming2(1.School of Mathematics,Heifei University of Technology,Hefei 230009,China,2.School of Electronics , Electrical Engineering,Ludong University,Yantai 264025,China) |
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| Abstract: | By defining the partial inverse difference and the blending partial inverse difference,a new type rational interpolation on square meshes was constructed,which was called the Stieltjes-Thiele-type rational interpolation that was combined with the Stieltjes-type continued fractions based on the Thiele-type.It was satisfied with the given interpolating conditions,and then the interpolating theorem,characteristic theorem and the error estimation are deduced.In the end,a numerical example was presented to illus... |
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| Keywords: | rational interpolation characteristical theorem error estimation continued fractions |
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