| 一种三元Newton-Thiele型有理插值方法 |
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| 引用本文： | 崔蓉蓉,顾传青.一种三元Newton-Thiele型有理插值方法[J].上海大学学报(自然科学版),2014,20(1):107-113. |
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| 作者姓名： | 崔蓉蓉 顾传青 |
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| 作者单位： | 1. 上海大学 理学院, 上海 200444; 2. 盐城师范学院 数学科学学院, 江苏 盐城 224002 |
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| 基金项目： | 国家自然科学基金资助项目(11371243); 上海市教委科研创新基金重点资助项目(13ZZ068); 上海市重点学科建设资助项目(S30104) |
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| 摘 要： | 结合二元Thiele 型插值分叉连分式和牛顿插值多项式, 通过引入混合偏差商构造三元有理插值, 进一步给出其特征定理和误差估计, 最后给出数值算例.
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| 关 键 词： | 混合偏差商 连分式 有理插值 |
| 收稿时间： | 2013-11-03 |
A Method of Triple Newton-Thiele Type Rational Interpolation |
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| CUI Rong-rong,GU Chuan-qing.A Method of Triple Newton-Thiele Type Rational Interpolation[J].Journal of Shanghai University(Natural Science),2014,20(1):107-113. |
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| Authors: | CUI Rong-rong GU Chuan-qing |
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| Institution: | 1. College of Sciences, Shanghai University, Shanghai 200444, China;
2. School of Mathematical Science, Yancheng Teachers University, Yancheng 224002, Jiangsu, China |
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| Abstract: | The bivariate Thiele-type interpolating branched continued fractions and Newton interpolation polynomials are combined. By introducing the so-called blending partial differences, a triple rational interpolation scheme is obtained. The characteristic theorem and error estimation are presented. Finally, an example is given. |
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| Keywords: | blending partial difference continued fraction rational interpolation |
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