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INTERPOLATING MULTIVARIATE RATIONAL SPLINES IN R
作者姓名:檀结庆
作者单位:Institute of
摘    要:On each simplex in a complex of r-dimensional simplices a rational function of special form is constructed which is composed of a polynomial part and a rational part.It is proved in this paper that these pieceivise rational functions can be patched together sufficiently smoothly to form a uniquely determined rational spline by certain interpolation conditions.


INTERPOLATING MULTIVARIATE RATIONAL SPLINES IN R
Tan Jie-qing Institute of Applied Mathematics,Hefei University of Technology,Hefiei ,PRC.INTERPOLATING MULTIVARIATE RATIONAL SPLINES IN R[J].Numerical Mathematics A Journal of Chinese Universities English Series,1995(2).
Authors:Tan Jie-qing Institute of Applied Mathematics  Hefei University of Technology  Hefiei  PRC
Institution:Tan Jie-qing Institute of Applied Mathematics,Hefei University of Technology,Hefiei 230009,PRC
Abstract:On each simplex in a complex of r-dimensional simplices a rational function of special form is constructed which is composed of a polynomial part and a rational part.It is proved in this paper that these pieceivise rational functions can be patched together sufficiently smoothly to form a uniquely determined rational spline by certain interpolation conditions.
Keywords:interpolation  rational function  simplex  spline  
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