| 三元重心Thiele型混合有理插值 |
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| 引用本文： | 石满红.三元重心Thiele型混合有理插值[J].工科数学,2014(3):38-43. |
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| 作者姓名： | 石满红 |
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| 作者单位： | 合肥工业大学数学学院,安徽合肥230009 |
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| 摘 要： | 有理插值比多项式插值有更好的近似,但有理插值一般很难控制极点的产生.基于Thiele型连分式插值与重心有理插值,构造三元重心Thiele型混合有理插值,当选取适当的权后能避免部分极点的产生.文章最后通过数值例子验证了这种方法的正确性和有效性.
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| 关 键 词： | Thiele型连分式插值 重心有理插值 混合有理插值 偏倒差商 |
Triple Barycentric-Thiele Type Blending Rational Interpolation |
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| SHI Man-hong.Triple Barycentric-Thiele Type Blending Rational Interpolation[J].Journal of Mathematics For Technology,2014(3):38-43. |
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| Authors: | SHI Man-hong |
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| Institution: | SHI Man-hong (School of Mathematics, Hefei University of Technology, Hefei 230009,China) |
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| Abstract: | As we all know that rational interpolation is better approximation than polynomial interpolation sometimes, but the general rational interpolation is difficult to avoid poles, In this paper, based on Thiele type continued fraction interpolation and barycentric rational interpolation, we construct Triple Baryeentric-Thiele type blending rational interpolation , When we select the appropriate weight , it can avoid a part of poles. At last, numerical example is presented to verify the correctness and validity of this method. |
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| Keywords: | Thiele-type continued fraction interpolation barycentric rational interpolantion blending rational interpolation partial reciprocal difference |
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