| 沿球面插值正则性问题研究 |
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| 引用本文： | 崔利宏,陈文娟,王星,姜莹莹.沿球面插值正则性问题研究[J].吉林师范大学学报（自然科学版）,2012(1):1-3. |
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| 作者姓名： | 崔利宏 陈文娟 王星 姜莹莹 |
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| 作者单位： | 辽宁师范大学数学学院 |
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| 基金项目： | 国家自然科学基金项目(11071106) |
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| 摘 要： | 本文在文献1]的基础上,以代数几何中若干理论和方法为工具,对沿球面上Lagrange插值正则性问题进行了进一步的研究和探讨.文中将文献1]中所给出构造沿球面插值正则结点组的添加平面法推广到了添加圆锥曲面的情形,从而进一步搞清了沿球面插值正则结点组的拓扑结构和几何特征.
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| 关 键 词： | Lagrange插值 正则结点组 球面插值 空间曲线插值 |
Some Researches on Regularity of Interpolation Along a Sphere |
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| CUI Li-hong,CHEN Wen-juan,WANG Xing,JIANG Ying-ying.Some Researches on Regularity of Interpolation Along a Sphere[J].Jilin Normal University Journal(Natural Science Edition),2012(1):1-3. |
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| Authors: | CUI Li-hong CHEN Wen-juan WANG Xing JIANG Ying-ying |
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| Institution: | (Schools of Mathematics,Liaoning Noraml University,Dalian 116029,China) |
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| Abstract: | In this paper,based on paper 1] and using some methods and theories in algebraic geometry as tool,the problem of Lagrange interpolation along a sph ere is researched and approached.The plane-superposed process which was given i n 1] for constructing regular set of nodes for Lagrange interpolation along a sphere is generalized to some new method,i.e.,The conicoid-superposed process,and as a result,we offer a clear understanding of the geonetric structed of t he regular set of nodes for Lagrange interpolation along a sphere. |
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| Keywords: | Lagrange interpolation regular set of nodes interp olation along a sphere interpolation along a space curve |
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