Chapter 2 Hermite插值基函数 插值方法 如果:0x(x)=J0i≠j β(x,)=0 0i≠j 1(x)=0 B(x)=8 H2n+1(x1)=f(x0)00(x)+…+f(x,)x,(x)+…+f(xn)xn(x) f(x)B6(x)+…+f(x,)B(x)+…+f(xn)B(x H2n+1(x1)=f(x00(x,)+…+f(x,),(x,)+…+f(xn)Cn(x,) f(x)B6(x)+…+f(x)B(x)+…+f(x)Bn(x) x 应HUSTHermite插值基函数  ≠ β =δ =  = 'i j ij i j (x ) i j 01  ≠ α =δ =  = i j ij i j (x ) i j 01 21 0 0 ''' 0 0 () () () () () () () () ( ) ( ) ( ) ( ) () () n j j nnj j j nn j j j j j j j H x fx x fx x f x x f x f x x f x f x x α α x β β α β + = +⋅⋅⋅+ ⋅⋅⋅+ + +⋅⋅⋅+ ⋅⋅⋅+ = + + () 0 i j 如果 β x = ' 21 0 0 '' '' 0 0 ' ' ' ' () () () () ( ) ( ) ( () ( ( ) () () () ) ( ) ) j n j j nnj j j j j j j n n j j H x fx x fx x f x f x fx x x xx x f x f α α β β α β + = +⋅⋅⋅+ ⋅⋅⋅+ + +⋅⋅⋅+ ⋅⋅⋅+ = + + ' ' α = ' i j (x ) 0