| 矩形网格上一类二元有理插值问题 |
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| 引用本文： | 王家正.矩形网格上一类二元有理插值问题[J].大学数学,1999(2). |
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| 作者姓名： | 王家正 |
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| 作者单位： | 安徽教育学院数学系 |
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| 摘 要： | 本文首先利用Ｖａｎｄｅｒｍｏｎｄｅ矩阵得到矩形网格上二元多项式插值公式，然后利用该公式建立一类二元有理插值问题的存在性判别准则及有理插值函数的表现公式，并给出数值例子
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| 关 键 词： | 矩形网格 结点 有理插值 矩阵 |
A Class of Bivariate Rational Interpolation Problem over Rectangular Grids |
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| Wang Jiazheng.A Class of Bivariate Rational Interpolation Problem over Rectangular Grids[J].College Mathematics,1999(2). |
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| Authors: | Wang Jiazheng |
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| Abstract: | In this paper, using Vandermonde matix, and obtains bivariate polynomial interpolation formula over rectangular grids. Then making use of this formula and sets up the existence criterion of a class of bivariate rational interpolation problem and its showing formula. Numerical examples are given. |
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| Keywords: | rectangular grids interpolation points rational interpolation matrix |
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