| 三元Barycentric-Newton-Thiele型混合有理插值 |
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| 作者单位： | ;1.安徽科技学院信息与网络工程学院 |
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| 摘 要： | 在重心有理插值、Newton多项式插值、Thiele型连分式插值的基础上,构造三元BarycentricNewton-Thiele型混合有理插值.通过定义逆差商给出插值定理,并且讨论其具有的特性,数值例子验证了算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 逆差商 |
Triple Barycentric-Newton-Thiele Type Blending Rational Interpolation |
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| Institution: | ,School of Information and Network Engineering,Anhui Science and Technology University |
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| Abstract: | In this paper,based on Thiele type continued fraction interpolation,Newton interpolation polynomial and barycentric rational interpolation,we construct Triple Barycentric-Newton-Thiele type blending rational interpolation. We give the interpolation theorem through the discussion of the definition of inverse differences,and discuss its characteristics. Numerical examples are presented to verify the correctness and validity of this method. |
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| Keywords: | Thiele-type continued fraction interpolation barycentric rational interpolation blending rational interpolation partial reciprocal difference |
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