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ON HIGH DIMENSIONAL INTERPOLATION 被引量:1

ON HIGH DIMENSIONAL INTERPOLATION
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摘要 This paper introduces the definition of the Orthogonal Type Node Configuration and discusses the corresponding multivariate Lagrange, Hermite and Birkhoff interpolation problems in high dimensional space R s(s>2). This node configuration can be considered to be a kind of extension of the Cross Type Node Configuration , in R 2 to high dimensional spaces. And the Mixed Type Node Configuration in R s(s>2) is also discussed in this paper in an example. This paper introduces the definition of the Orthogonal Type Node Configuration and discusses the corresponding multivariate Lagrange, Hermite and Birkhoff interpolation problems in high dimensional space R s(s>2). This node configuration can be considered to be a kind of extension of the Cross Type Node Configuration , in R 2 to high dimensional spaces. And the Mixed Type Node Configuration in R s(s>2) is also discussed in this paper in an example.
作者 朱平 周利华
关键词 multivariate interpolation node configuration multivariate Vandermonde determinant computer graphics Lagrange interpolation Hermite interpolation Birkhoff interpolation. multivariate interpolation, node configuration, multivariate Vandermonde determinant, computer graphics, Lagrange interpolation, Hermite interpolation, Birkhoff interpolation.
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