摘要
利用代数几何学中关于理想和代数簇的理论,我们研究了代数超曲面上分次插值适定结点组的几何结构,通过上述理论的研究,并利用无重复分量代数超曲面上的分次插值适定结点组的构造方法,我们又得到了构造高维空间中分次插值适定结点组的递归构造方法,从而初步弄清了多元分次Lagrange插值适定结点组的几何结构。
Use the results of algebraic variety and ideal in algebraic geometry,we study the geometrical structure of properly posed set of nodes for graded interpolation on algebraic hypersurface,more over,we give a Hyperplane Superposition Process to constuct the properly posed set of nodes for graded interpolation on algebraic hypersurface,therefore we make clear the geometrical structure of properly posde set of nodes for multivariate graded interpolation basically.
出处
《黑龙江八一农垦大学学报》
2009年第6期80-82,共3页
journal of heilongjiang bayi agricultural university
关键词
多元多项式
适定结点组
分次插值
LAGRANGE插值
多元插值
mutivariate polynomial
porperly posed set of nodes
graded interpolation
Lagrange interpolation
multivariate interpolation
