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二元插值的一般框架的注记
引用本文:唐烁,邹乐.二元插值的一般框架的注记[J].数学研究及应用,2009,29(4):700-706.
作者姓名:唐烁  邹乐
作者单位:合肥工业大学理学院, 安徽 合肥 230009;合肥工业大学理学院, 安徽 合肥 230009
基金项目:国家自然科学基金(No.60473114); 安徽省自然科学基金(No.070416227);安徽省教育厅重点科研项目(No.KJ2008A027).
摘    要:Newton interpolation and Thiele-type continued fractions interpolation may be the favoured linear interpolation and nonlinear interpolation, but these two interpolations could not solve all the interpolant problems. In this paper, several general frames are established by introducing multiple parameters and they are extensions and improvements of those for the general frames studied by Tan and Fang. Numerical examples are given to show the effectiveness of the results in this paper.

关 键 词:二元插值  框架  非线性插值  注记  连分式插值  牛顿插值  插值问题  数值
收稿时间:2007/4/29 0:00:00
修稿时间:9/7/2007 12:00:00 AM

A Note on General Frames for Bivariate Interpolation
TANG Shuo and ZOU Le.A Note on General Frames for Bivariate Interpolation[J].Journal of Mathematical Research with Applications,2009,29(4):700-706.
Authors:TANG Shuo and ZOU Le
Institution:Department of Mathematics, Hefei University of Technology, Anhui 230009, China
Abstract:Newton interpolation and Thiele-type continued fractions interpolation may be the favoured linear interpolation and nonlinear interpolation, but these two interpolations could not solve all the interpolant problems. In this paper, several general frames are established by introducing multiple parameters and they are extensions and improvements of those for the general frames studied by Tan and Fang. Numerical examples are given to show the effectiveness of the results in this paper.
Keywords:continued fractions  blending rational interpolant  unattainable point  
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