Polinomio Interpolante de Lagrange
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A:= 0 1 1 2.718281 2 7.389056 z = Dimensions@AD; n = z@@1DD; Print@" POLINOMIO INTERPOLANTE DE LAGRANGE"D; P@x_D = i=1 n A@@i, 2DD j=1 i-1 x - A@@j, 1DD A@@i, 1DD - A@@j, 1DD j=i+1 n x - A@@j, 1DD A@@i, 1DD - A@@j, 1DD ; Print@"PHxL= ", Expand@%DD P@0.75D grafpuntos = ListPlot@A, PlotStyle fi 8PointSize@0.020D<, DisplayFunction fi IdentityD; grafpoli = Plot@P@xD, 8x, 0, 2.5<, DisplayFunction fi IdentityD; Show@grafpuntos, grafpoli, DisplayFunction fi $DisplayFunctionD POLINOMIO INTERPOLANTE DE LAGRANGE PHxL= 1 + 0.242034 x + 1.47625 x 2 2.01191 0.5 1.0 1.5 2.0 2.5 2 4 6 8 10 P@x_D = InterpolatingPolynomial@A,xD
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Algoritmo del polinomio interpolante de Lagrange
Transcript of Polinomio Interpolante de Lagrange
A :=
0 1
1 2.718281
2 7.389056
z = Dimensions@AD;
n = z@@1DD;
Print@" POLINOMIO INTERPOLANTE DE LAGRANGE"D;
P@x_D = âi=1
n
A@@i, 2DD äj=1
i-1 x - A@@j, 1DDA@@i, 1DD - A@@j, 1DD ä
j=i+1
n x - A@@j, 1DDA@@i, 1DD - A@@j, 1DD ;
Print@"PHxL= ", Expand@%[email protected] =
ListPlot@A, PlotStyle ® [email protected]<, DisplayFunction ® IdentityD;
grafpoli = Plot@P@xD, 8x, 0, 2.5<, DisplayFunction ® IdentityD;
Show@grafpuntos, grafpoli, DisplayFunction ® $DisplayFunctionDPOLINOMIO INTERPOLANTE DE LAGRANGE
PHxL= 1 + 0.242034 x + 1.47625 x2
2.01191
0.5 1.0 1.5 2.0 2.5
2
4
6
8
10
P@x_D = InterpolatingPolynomial@A, xD