文档介绍：摘要
插值法是函数逼近的一种重要方法,,,其成功地用构造插值基函数的方法,,再利用插值条件确定其中的待定函数,从而求出插值多项式.
拉格朗日插值法是一种很实用的插值方法,可以应用在渔业资源评估中、化学中、工程中、工业中、机械设计与制造领域,,主要通过程序的编写(有拉格朗日插值法的Matlab和C语言实现)将算法在计算机中实现,.
关键词插值基函数;插值多项式;Lagrange插值;算法
Abstract
Interpolation function approximation is a kind of important method, numerical calculation is the basic speaking,Lagrange interpolation method can give a right through the two dimensional plane several known point polynomial interpolation is n times polynomial interpolation,which eeded in structure interpolation basis function method,solve the on times polynomial interpolation function problem. Lagrange interpolation basic idea is to will stay for n times polynomial interpolation function rewritten into another means,reuse interpolation condition to determine the required function,so as to find out the interpolation polynomial.
Lagrange interpolation method is a very practical interpolation method, can be used in fishery resources evaluation,chemistry,engineering, industry, mechanical design and manufacturing,puters topic will be Lagrange interpolation method was used to practice,mainly through the process of writing(with Lagrange interpolation method of Matlab and C language implementation)algorithm is realized puter,get the corresponding reflected Lagrange interpolation method in solving problems of practical significance.
Keywords interpolation basis function;Interpolation polynomial;Lagrange interpolation;algorithm
目录
引言 1
第一章拉格朗日插值法 2
§ 基本概念 2
§ 拉格朗日插值法 2
§ 基函数 2
§ 3
§ 余项与误差估计 4
第二章拉格朗日插值法的程序设计及应用 8
§ 8
§ 9
§ 流程图 9
§ C语言编程 10
§ 拉格朗日插值法的应用 11
§ 在渔业资源评估上的应用 11
§ 利用拉格朗日插值法解决传热过程中的导热系数 12
参考文献 14
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