多项式无疑是最简单,最常见的函数,

插值,不论在数学中的数值分析中,还是在我们实际生产生活中,都不难发现它的身影,比如造船业和飞机制造业中的三次样条曲线。那么,什么是插值呢?我们可以先看一下插值的定义,如下:

??(定义)如果对于每个1≤i≤n,P(xi)=yi1≤i≤n,P(xi)=yi,则称函数y=P(x)y=P(x)插值数据点(x1,y1),...,(xn,yn)(x1,y1),...,(xn,yn).

?? 插值的定义无疑是清楚明了的,而在众多的数学函数中,多项式无疑是最简单,最常见的函数,关于它的理论研究也最为透彻。因此,我们可以不妨先考虑利用多项式来进行插值。那么,这样的多项式是否总是存在呢?答案是肯定的,因为我们有如下定理:

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原文地址:https://www.cnblogs.com/hngrsgtrgrg/p/8245492.html

时间: 2024-10-10 10:53:46

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