poli no mio newton
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Poli No Mio NewtonTRANSCRIPT
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Método de NewtonPn(x)=y0+a1(x-x0)+a2(x-x0)(x-x1)+...+an(x-x0)(x-x1)...(x-xn)
Xn Yn a1 a2 a3 a41 3 -3 2.5 -0.5 -0.166666672 03 2 P1(x) P2(x) P3(x) P4(x)4 6 -3 9 9 -125 5 -6 21 86 3 -9 38
-12
Interpolación -Extrapolación7 30
3.5 4.26953125
a i=yi−Pi−1 (x i )
( x i−x0 )( x i−x1 )⋅⋯⋅( xi−x i−1 )
![Page 2: Poli No Mio Newton](https://reader036.vdocumento.com/reader036/viewer/2022082614/5695cf7e1a28ab9b028e52f6/html5/thumbnails/2.jpg)
a50.125
a i=yi−Pi−1 (x i )
( x i−x0 )( x i−x1 )⋅⋯⋅( xi−x i−1 )
![Page 3: Poli No Mio Newton](https://reader036.vdocumento.com/reader036/viewer/2022082614/5695cf7e1a28ab9b028e52f6/html5/thumbnails/3.jpg)
Método de NewtonPn(x)=y0+a1(x-x0)+a2(x-x0)(x-x1)+...+an(x-x0)(x-x1)...(x-xn)
Xn Yn a1 a2 a3 a40 1 1 -0.16666667 0.03333333 01 23 3 P1(x) P2(x) P3(x) P4(x)5 4 4 2.66666667 1 1
6 1 11 11
Interpolación -Extrapolación7 6.6
3.5 3.187527 472.6
a i=yi−Pi−1 (x i )
( x i−x0 )( x i−x1 )⋅⋯⋅( xi−x i−1 )
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a50
a i=yi−Pi−1 (x i )
( x i−x0 )( x i−x1 )⋅⋯⋅( xi−x i−1 )
![Page 5: Poli No Mio Newton](https://reader036.vdocumento.com/reader036/viewer/2022082614/5695cf7e1a28ab9b028e52f6/html5/thumbnails/5.jpg)
Método de NewtonPn(x)=y0+a1(x-x0)+a2(x-x0)(x-x1)+...+an(x-x0)(x-x1)...(x-xn)
Xn Yn-1 62 3 P0(x) 6 a1 -1 -1 7 0 P1(x) -2 a2 0.05 1/20 8 -2 P2(x) -0.3 a3 -0.03148148 - 17/540
a i=yi−Pi−1 (x i )
( x i−x0 )( x i−x1 )⋅⋯⋅( xi−x i−1 )