| 完全展开多元对偶张量积Hermite插值的表现公式 |
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| 引用本文： | 孙凤刚,魏凤英.完全展开多元对偶张量积Hermite插值的表现公式[J].福建师大福清分校学报,2007(2):1-5. |
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| 作者姓名： | 孙凤刚 魏凤英 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建,福州,350002 |
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| 摘 要： | 利用线性方程组的矩阵表示形式,证明了矩阵网格上二元对偶切触插值问题的存在唯一性。采用简洁的形式证明了已有结论,即二元对偶切触插值问题存在性。进一步推导了多元对偶张量积Hermite插值问题存在唯一性,并且给出了多元对偶张量积Hermite插值的递推公式。
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| 关 键 词： | 切触插值 Hermite插值 多元对偶张量积 |
| 文章编号： | 1008-3421（2007）02-0001-05 |
| 收稿时间： | 2006-11-02 |
| 修稿时间： | 2006年11月2日 |
Hermite Interplation Formular of Dual Tensor Product with Multivariate and Complete Expansion |
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| SUN Fenggang,WEI Fengying.Hermite Interplation Formular of Dual Tensor Product with Multivariate and Complete Expansion[J].Journal of Fuqing Branch of Fujian Normal University,2007(2):1-5. |
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| Authors: | SUN Fenggang WEI Fengying |
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| Abstract: | By using matrix expression for system of linear equations,the existence and uniqueness of brivariate contact interplation over rectangular grids was obtained by authors in this paper.Moreover,by use of a brief method,the author had shown that the known result,i.e.the existence of bivariate dual contact interplation.Further,the existence and uniqueness of Hermite interplation problems for multivariate dual tensor product with multivariate was investigated.And the recurrence formula of Hermite interplation for multivariate dual tensor product was given. |
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| Keywords: | Contact interplation Hermite interplation Dual tensor product with multivariate |
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