| 关联连分式插值与逼近(英文) |
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| 引用本文： | 唐烁,邹乐.关联连分式插值与逼近(英文)[J].安徽教育学院学报,2008,26(6). |
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| 作者姓名： | 唐烁 邹乐 |
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| 作者单位： | 1. 合肥工业大学数学系,安徽,合肥,230009
2. 合肥学院计算机科学与技术系,安徽,合肥,230601 |
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| 基金项目： | supported by the Anhui Provincial Natural Science Foundation(No.070416227); the Natural Science Foundation of Anhui Provincial Education Depart ment under Grant(No.KJ2008A027) |
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| 摘 要： | 本文讨论了一种特殊的关联连分式插值及其逼近,得到了这种插值的特征定理、唯一性定理及误差估计,并获得了Viscovatov型算法.数值例子说明了本文方法的有效性.
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| 关 键 词： | 关联连分式 有理插值 Viscovatov型算法 |
Associated Continued Fractions Interpolation and Approximation |
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| TANG Shuo,ZOU Le.Associated Continued Fractions Interpolation and Approximation[J].Journal of Anhui Institute of Education,2008,26(6). |
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| Authors: | TANG Shuo ZOU Le |
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| Institution: | TANG Shuo1,ZOU Le2(1.Department of Mathematics,Hefei University of Technology,Hefei 230009,China,2.Department of Computer Science , Technology,Hefei University,Hefei 230601,China) |
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| Abstract: | We discuss a special associated continued fractions interpolation and approximation.Characteristic theorem and unique theorem are obtained,we also acquire the corresponding power series and Viscovatov-like algorithm.Error estimation is worked out and numerical example is given to show the effectiveness of the results in this paper. |
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| Keywords: | associated continued fractions Viscovatov-like algorithm rational interpolation inverse differences divided difference |
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