| 修正的 Thiele-Werner型有理插值 |
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| 引用本文： | 李昌文,朱晓临,邹乐.修正的 Thiele-Werner型有理插值[J].数学研究及应用,2010,30(4):653-663. |
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| 作者姓名： | 李昌文 朱晓临 邹乐 |
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| 作者单位： | 淮北师范大学数学系, 安徽 淮北 235000; 合肥工业大学数学系, 安徽 合肥 230009;淮北师范大学数学系, 安徽 淮北 235000;淮北师范大学数学系, 安徽 淮北 235000 |
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| 基金项目： | 国家自然科学基金(Grant No.60473114),安徽省自然科学基金(Grant No.070416227). |
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| 摘 要： | Through adjusting the order of interpolation nodes, we gave a kind of modified Thiele-Werner rational interpolation. This interpolation method not only avoids the infinite value of inverse differences in constructing the Thiele continued fraction interpolation, but also simplifies the interpolating polynomial coefficients with constant coefficients in the Thiele-Werner rational interpolation. Unattainable points and determinantal expression for this interpolation are considered. As an extension, some bivariate analogy is also discussed and numerical examples are given to show the validness of this method.
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| 关 键 词： | interpolation modified Thiele-Werner algorithm unattainable point. |
| 收稿时间： | 2008/4/16 0:00:00 |
| 修稿时间： | 2009/6/30 0:00:00 |
Modified Thiele-Werner Rational Interpolation |
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| Chang Wen LI,Xiao Lin ZHU and Le ZOU.Modified Thiele-Werner Rational Interpolation[J].Journal of Mathematical Research with Applications,2010,30(4):653-663. |
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| Authors: | Chang Wen LI Xiao Lin ZHU and Le ZOU |
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| Institution: | 1. Department of Mathematics, Huaibei Normal University, Anhui 235000, P.R.China;Department of Mathematics, Hefei University of Technology, Anhui 230009, P.R.China
2. Department of Mathematics, Hefei University of Technology, Anhui 230009, P.R.China |
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| Abstract: | Through adjusting the order of interpolation nodes, we gave a kind of modified Thiele-Werner rational interpolation. This interpolation method not only avoids the infinite value of inverse differences in constructing the Thiele continued fraction interpolation, but also simplifies the interpolating polynomial coefficients with constant coefficients in the Thiele-Werner rational interpolation. Unattainable points and determinantal expression for this interpolation are considered. As an extension, some bivariate analogy is also discussed and numerical examples are given to show the validness of this method. |
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| Keywords: | interpolation modified Thiele-Werner algorithm unattainable point |
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