This is a solution of Hermite interpolation problem.
A=[-1 2 -1 inf; 0 1 inf inf;1 -1 -1 8]
x f(x) f'(x) f''(x) . . .
-1 2 -1 Inf
0 1 Inf Inf
1 -1 -1 8
If you don't know the derive values, just write Inf.
Use this command: difftable(A)
And you can see the divided difference table, and the symbolic form of approximation polinomial.
The function returns the coefficient vector of polinomial.
You can use this function for calculate Newton form of interpolation.
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