| 有理插值中不可达点的研究 |
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| 引用本文： | 李昌文,潘亚丽,李强.有理插值中不可达点的研究[J].大学数学,2010,26(3). |
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| 作者姓名： | 李昌文 潘亚丽 李强 |
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| 作者单位： | 1. 淮北煤炭师范学院,数学学院,安徽,淮北,235000
2. 安徽理工大学,数理系,安徽,淮南,232001 |
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| 基金项目： | 安徽省自然科学基金资助项目 |
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| 摘 要： | 通过对一元Thiele型连分式插值和二元Newton-Thiele型混合有理插值中不可达点的分析,给出了一种判断不可达点的方法.而且,对于任意给定的插值条件,通过构造带参数的Thiele型切触插值和二元Newton-Thiele型混合切触有理插值,使得不可达点变成可达点.数值例子也说明了这种方法的有效性.
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| 关 键 词： | 不可达点 Thiele连分式插值 Newton-Thiele型有理插值 |
A Study of the Unattainable Point for Rational Interpolation |
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| LI Chang-wen,PAN Ya-li,LI Qiang.A Study of the Unattainable Point for Rational Interpolation[J].College Mathematics,2010,26(3). |
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| Authors: | LI Chang-wen PAN Ya-li LI Qiang |
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| Abstract: | Through analyzing the unattainable point for Thiele fractions interpolation and bivariate-Newton-Thiele rational interpolation,a method for testing the unattainable points is given.Moreover,for any given interpolating conditions,we can construct the osculatary Thiele fractions interpolation and bivariate Newton-Thiele osculatary rational interpolation with parameter to satisfy them without any unattainable points.numerical examples are illustrated the validity of the method |
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| Keywords: | unattainable points Thiele fractions interpolation Newton-Thiele rational interpolation |
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