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论文类型：期刊论文

发表时间：2004-09-01

发表刊物：Journal of Information and Computational Science

收录刊物：Scopus、EI

卷号：1

期号：1

页面范围：107-112

ISSN号：15487741

关键字：Algebra; Computation theory; Geometry; Interpolation; Numerical methods, Bivariate spline space; Generator basis; Lagrange interpolation set; Multivariate spline; Necessary conditions; Smoothing cofactor, Triangulation

摘要：In this paper, a constructive method is presented for Lagrange interpolation set in a given bivariate spline space from the view of the generator basis of modules. Some results and necessary conditions for Lagrange interpolation set in S21(  22(2)) and S31(  22(1)) are given. The mentioned method can be easily extended to study the problem of Lagrange interpolation set in any multivariate spline space.