| 一元切触有理插值存在性的判别方法 |
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| 引用本文： | 崔蓉蓉,黄有度. 一元切触有理插值存在性的判别方法[J]. 大学数学, 2006, 22(4): 80-84 |
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| 作者姓名： | 崔蓉蓉 黄有度 |
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| 作者单位： | 盐城师范学院,盐城,224002;合肥工业大学,合肥,230009;合肥工业大学,合肥,230009 |
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| 摘 要： | 在用广义Vandermonde行列式给出Hermite插值多项式的表达式的基础上,分别针对iα=2,iα=3(i=1,2,…,s)的情形给出切触有理插值问题有解的条件及解的表达式.
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| 关 键 词： | 广义Vandermonde行列式 有理切触插值 Newton插值 Hermite插值 |
| 文章编号： | 1672-1454（2006）04-0080-05 |
| 收稿时间： | 2005-04-08 |
| 修稿时间： | 2005-04-08 |
A Criterion for the Existence of the Univariate Osculatory Rational Interpolation |
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| CUI Rong-rong,HUANG You-du. A Criterion for the Existence of the Univariate Osculatory Rational Interpolation[J]. College Mathematics, 2006, 22(4): 80-84 |
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| Authors: | CUI Rong-rong HUANG You-du |
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| Abstract: | Based on the formula of Hermite interpolation derived with generalized Vandermonde determinant,the existance conditions and expressions of osculatory rational interpolation's solution are presented in case α_i=2,α_i=3 respectively. |
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| Keywords: | generalized Vandermonde determinant osculatory rational interpolation Newton interplation Hermite interplation |
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