| ON HIGH DIMENSIONAL INTERPOLATION |
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| 作者姓名： | 朱平 周利华 |
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| 作者单位： | Zhu Ping Multimedia Technology Institute，Xidian University，Xi'an 710071，PRC. Zhou Lihua Multimedia Technology Institute，Xidian University，Xi'an 710071，PRC. |
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| 摘 要： | 1 IntroductionIn this paper,we letPn,… ,nsn′s( or Psn) be the ( s-variate) polynomial space of all real ( s-variate) polynomials with the degreeof each variate atmostn and use the usual multivariate notationwj =wj11 … wjss,| j| =j1 +… + js( j1 ,… ,js∈ Z+) .1 ] and 2 ] have discussed the Cross Type Node Configuration ( CRTNC) and thecorresponding bivariate interpolation in R2 .In this paper,we considerRs={ ( w1 ,… ,ws) :wi ∈ R,i =1 ,… ,s} .We say that s( s-1 ) -dimensional h…
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ON HIGH DIMENSIONAL INTERPOLATION |
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| Zhu Ping.ON HIGH DIMENSIONAL INTERPOLATION[J].Numerical Mathematics A Journal of Chinese Universities English Series,2001,10(1). |
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| Authors: | Zhu Ping |
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| Abstract: | 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. |
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| Keywords: | multivariate interpolation node configuration multivariate Vandermonde determinant computer graphics Lagrange interpolation Hermite interpolation Birkhoff interpolation |
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