Polinomio Interpolante de Lagrange

Post on 19-Dec-2015

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description

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@%DDP@0.75Dgrafpuntos =

ListPlot@A, PlotStyle ® 8PointSize@0.020D<, 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