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牛顿Newton插值 MATLAB源程序代码

于 2022-03-21 发布 文件大小:60.70 kB
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应用背景 牛顿Newton插值 MATLAB 插值法利用函数f (x)在某区间中若干点的函数值,作出适当的特定函数,在这些点上取已知值,在区间的其他点上用这特定函数的值作为函数f (x)的近似值。如果这特定函数是多项式,就称它为插值多项式。利用插值基函数很容易得到拉格朗日插值多项式,公式结构紧凑,在理论分析中甚为方便,但当插值节点增减时全部插值基函数均要随之变化,整个公式也将发生变化, 这在实际计算中是很不方便的,为了克服这一缺点,提出了牛顿插值 关键技术插值法利用函数f (x)在某区间中若干点的函数值,作出适当的特定函数,在这些点上取已知值,在区间的其他点上用这特定函数的值作为函数f (x)的近似值。

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