第4讲 插值法.ppt

文档介绍：Interpolation
Lagrangian polynomial interpolation
Chebyshev interpolation
牛顿插值
xi
f [ ]
f [,]
f [,,]
f [,,,]
x1
f[x1]
x2
f[x2]
f[x1,x2]
x3
f[x3]
f[x2,x3]
f[x1,x2,x3]
x4
f[x4]
f[x3,x4]
f[x2,x3,x4]
f[x1,x2,x3,x4]
区间[xi, xi+1], s=x-xi, h=hi= xi+1-xi (Moler’s book,)
分段多项式插值
三阶Hermite插值
区间[xi, xi+1]
三次样条插值
区间[xi, xi+1], (Moler’s book,)
s=x-xi, yi=f(xi), di=f’(xi)
区间[xi-1, xi],