(1)
(2)
Příklad číslo 2
with CurveFitting :
P PolynomialInterpolation 9, 3, 4.5, 10, 5.5, 12.5 , 9 sin 9 , 3 sin 3 , 4.5 sin 4.5 , 10
sin 10 , 5.5 sin 5.5 , 12.5 sin 12.5 , x, form = Lagrange ;
0.003023431595 9 sin 9 x 3 x 4.5 x 10 x 5.5 x 12.5
0.0006683375104 3 sin 3 x 9 x 4.5 x 10 x 5.5 x 12.5
0.01186016795 x 9 x 3 x 10 x 5.5 x 12.5 0.002308802309 10
sin 10 x 9 x 3 x 4.5 x 5.5 x 12.5 0.01739486503 x 9 x
3 x 4.5 x 10 x 12.5 0.002671037186 x 9 x 3 x 4.5 x
10 x 5.5
expand evalf P ;
3.09117017 x 2.21991785 x
2
0.545203514 x
3
0.0513743551 x
4
0.001661922286 x
5
2.88384950
plot x sin x , P , x = 0 ..15, color = blue, green , thickness = 3, legend = "Původní funkce",
"Lagrangeův polynom" ;
Původní funkce Lagrangeův polynom
0 5 10 15
0
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