| 基于块的二元有理插值的对偶性 |
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| 引用本文： | 李强,唐烁.基于块的二元有理插值的对偶性[J].合肥工业大学学报(自然科学版),2009,32(7). |
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| 作者姓名： | 李强 唐烁 |
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| 作者单位： | 1. 安徽理工大学,理学院,安徽,淮南,232001;合肥工业大学,数学学院,安徽,合肥,230009
2. 合肥工业大学,数学学院,安徽,合肥,230009 |
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| 基金项目： | 国家自然科学基金，安徽省自然科学基金，安徽省教育厅重点项目 |
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| 摘 要： | 近几年来,人们将插值点进行划分,提出了块的思想,将连分式插值中的基于点的插值进行了推广,给出了基于块的有理插值的许多格式;文章针对基于块的二元Thiele 型混合有理插值的一般格式,探讨了在同种分块形式下的对偶性,得到了一些有意义的性质,最后通过数值例子验证了文章的主要结论.
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| 关 键 词： | 插值 对偶性 块插商 |
Duality of block-based bivariate rational interpolants |
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| LI Qiang,TANG Shuo.Duality of block-based bivariate rational interpolants[J].Journal of Hefei University of Technology(Natural Science),2009,32(7). |
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| Authors: | LI Qiang TANG Shuo |
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| Abstract: | In recent studies, based on the plotting of the interpolated points, the notion of blocks is put forward,and on the basis of generalizing the notion of interpolation based on the point of the continued fraction,many formats of block-based rational interpolants are given. The paper deals with the common format of block-based bivariate Thiele rational interpolants. The duality of congeneric blocks is discussed,some significative characters are obtained,and numerical examples are offered to validate the results. |
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| Keywords: | Thiele-like Thiele-like interpolation duality block-based inverse difference |
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