| 插值多元拟有理样条函数 |
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| 引用本文： | 檀结庆,李中凯. 插值多元拟有理样条函数[J]. 沈阳理工大学学报, 1990, 0(4) |
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| 作者姓名： | 檀结庆 李中凯 |
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| 作者单位： | 吉林大学，沈阳工业学院 |
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| 摘 要： | 过去几十年间多元样条插值与逼近理论发展得十分迅速。然而有理样条却很少有人问津。本文通过给定三角剖分下各胞腔上的有理分式函数,构造了两种广义多元有理插值样条,从而将王仁宏等人关于有理Spline函数和有理样条函数的插值问题推广到多元情形。
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| 关 键 词： | 拟有理函数 插值 样条 |
Interpolating Multivariate Quasi-Rational Spline Functions |
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| Tan Jieqing,Jilin UniversityLi Zhongkai,Shenyang Institute of Technology. Interpolating Multivariate Quasi-Rational Spline Functions[J]. Transactions of Shenyang Ligong University, 1990, 0(4) |
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| Authors: | Tan Jieqing Jilin UniversityLi Zhongkai Shenyang Institute of Technology |
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| Abstract: | During the Past decades, the theory of interpolation and appro- ximation by multivariate spline functions has been developed rapidly. How- ever, few results have been achieved in multivariate rational spline function In this Paper, by introducing piecewise rational functions in given cells under the triangulation, we construct two kinds of generalized multivariate interpolating rational splines, thus, the results of rational spline function and its interpolation by wang Renhong etc are extended to multivariate case. |
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| Keywords: | quasi-rational function interpolation spline |
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