function a=new(c,k)& i1 F# y1 z$ |$ T0 F- P1 X# r [x,y]=size(c);- L _1 y! p; `3 D' b. n1 D( u b=zeros(x,2+k); for i=1:x for j=1:26 `5 J+ e. d" l/ B b(i,j)=c(i,j); end- a! X+ X! q. [. I7 F. Q end& ^# l/ B( p$ o9 \+ v3 K for j=3:2+k+ V( F" l+ M. I* P! B for i=j-1:x b(i,j)=(b(i,j-1)-b(i-1,j-1))/(b(i,1)-b(i-j+2,1));( ?8 y+ M/ m1 V end end# G, s. i5 d( j$ ^7 c1 V+ T. Y9 {6 h- Z* z a=b
; [! g4 {1 X# } function fx=newton(c,x,k) b=new(c,k);9 a$ _% [# @& j0 \- i [p,q]=size(b);8 T$ i0 J4 K) U9 ?" N3 b 9 Z; I/ u8 r9 ^/ N8 B8 H fx=0; for i=1:p6 a4 ^, X, s7 ?' \ t=b(i,i+1)- u0 z8 R5 T: ~$ `& ~7 x for j=1:i-1 t=t*(x-b(i-1,1));3 C7 J0 o( L1 u+ l end" d: z2 T7 D( ? fx=fx+t;( z3 Y9 @) f/ s- A7 O) o end& I* r5 n$ \; k9 p8 e4 [3 a/ i fx

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