| 有理插值函数的构造新方法 |
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| 引用本文： | 荆科,康宁,崔方达.有理插值函数的构造新方法[J].阜阳师范学院学报(自然科学版),2012,29(1):35-37,86. |
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| 作者姓名： | 荆科 康宁 崔方达 |
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| 作者单位： | 阜阳师范学院数学与计算科学学院,安徽阜阳,236041 |
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| 基金项目： | 国家特色专业，安徽省高等学校省级教学质量与教学改革工程重点项目 |
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| 摘 要： | 为了解决有理插值函数的存在性和降低有理插值函数的次数,利用拉格朗日插值基函数的方法和多项式插值的误差公式,给出了一种有理插值函数并将其推广到向量值情形。相比于其他方法,其构造过程公式法,有理插值函数次数较低,且计算量较小,便于实际应用。
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| 关 键 词： | 有理插值函数 拉格朗日基函数 插值公式 多项式 |
A new method of constructing rational interpolation function |
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| JING Ke,KANG Ning,CUI Fang-da.A new method of constructing rational interpolation function[J].Journal of Fuyang Teachers College:Natural Science,2012,29(1):35-37,86. |
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| Authors: | JING Ke KANG Ning CUI Fang-da |
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| Institution: | (School of Mathematics and Computational Science,Fuyang Teachers College,Fuyang,Anhui,236041,China) |
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| Abstract: | In order to solve the existence of rational interpolation function and reduce the degree of rational interpolation function,we present a new rational interpolation method and extend it to vector-valued case,by use of the method of Lagrange interpolation basis function and error of polynomial interpolation.Compared with other methods,the course of constructing function is formulary,the degree of rational function is lower,and the algorithm needs less computation and facilitates the practical application. |
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| Keywords: | rational interpolation Lagrange basis function interpolation formula polynomial |
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