Properly posed sets of nodes for multivariate lagrange interpolation in Cs

被引：13

作者：

Liang, XZ ^{[1
]}

Lü, CM

Feng, RZ

机构：

[1] Jilin Univ, Inst Math, Changchun 130023, Peoples R China

[2] Univ Wisconsin, Ctr Math Sci, Madison, WI 53715 USA

[3] Changchun Coll Taxat, Dept Informat, Changchun 130021, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2001年 / 39卷 / 02期

关键词：

Lagrange interpolation; multivariate polynomial; properly posed sets of nodes for interpolation; ideal and variety; algebraic hypersurface;

D O I：

10.1137/S0036142999361566

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply techniques from the theory of ideals and varieties in algebraic geometry to study the geometric structure of a properly posed set of nodes (or PPSN, for short) for multivariate Lagrange interpolation along an algebraic hypersurface. We provide a hyperplane-superposition process to construct the PPSN for interpolation along an algebraic hypersurface, and as a result, we offer a clear understanding of the geometric structure of the PPSN for multivariate Lagrange interpolation in C-s.

引用

页码：587 / 595

页数：9

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