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.
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.
出处
《吉林师范大学学报（自然科学版）》
2012年第1期1-3,共3页
Journal of Jilin Normal University:Natural Science Edition
基金
国家自然科学基金项目(11071106)
关键词
LAGRANGE插值
正则结点组
球面插值
空间曲线插值
Lagrange interpolation
regular set of nodes
interp olation along a sphere
interpolation along a space curve
