| 关于二元Hermite插值唯一可解问题研究 |
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| 引用本文： | 崔利宏,尹微,彭兴璇.关于二元Hermite插值唯一可解问题研究[J].辽宁师范大学学报(自然科学版),2009,32(2):132-135. |
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| 作者姓名： | 崔利宏 尹微 彭兴璇 |
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| 作者单位： | 辽宁师范大学,数学学院,辽宁,大连,116029 |
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| 基金项目： | 辽宁省教育厅科学技术研究项目 |
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| 摘 要： | 在文献1]中关于多元Lagrange插值唯一可解性研究基础上，进一步讨论了二元Hermite插值唯一可解问题，给出了沿平面代数曲线进行Hermite插值泛函组定义，得到了构造二元Hermite插值格式而且便于计算机自动实现的一般性构造方法——递归构造法，并且文中所得结论推广了文献2]中的主要结果．
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| 关 键 词： | Hermite插值 唯一可解 Hermite插值泛函组 代数曲线 |
Some researches on unisolvent of bivariate Hermit interpolation |
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| CUI Li-hong,YIN Wei,PENG Xing-xuan.Some researches on unisolvent of bivariate Hermit interpolation[J].Journal of Liaoning Normal University(Natural Science Edition),2009,32(2):132-135. |
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| Authors: | CUI Li-hong YIN Wei PENG Xing-xuan |
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| Institution: | (School of Mathematics, Liaoning Normal University,Dalian 116029, China) |
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| Abstract: | On the basis of the study of unisolvent of the Lagrange interpolation reported in the reference 1], we discuss the same question about the bivariate Hermit interpolation. In the paper, we firstly define a set of functionals for Hermit interpolation located on an algebraic surface, then we refine a method called ＇recursion construction＇ which has the pattern of the bivariate Hermit interpolation. This method is convenient for coding and calculation by the computer. The work expands the main results in the reference 2]. |
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| Keywords: | Hermite interpolation unisolvent set of fumcfionals for Hermite interpolation algebraic curve |
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