Newton's Method for Divided Differences.

Newton's Method for Divided Differences.

Newton's Method for Divided Differences.

The following formula is solved:
Pn(x) = f(x0) + f[x0,x1](x-x0) + f[x0,x1,x2](x-x0)(x-x1) + ... + f[x0,x1,..,xn](x-x0)(x-x1)..(x-x[n-1])
Where:
f[x0,x1] = (f(x1-f(x0))/(x1-x0)
f[x0,x1,..,xn] = (f[x1,..,xn]-f[x0,..,x_[n-1]])/(xn-x0)