Calculating a difference function is a straightforward process:
But it is simpler to use the differentiation matrix for arithmetic polynomials:
The 5x5 matrix above is suitable for polynomials up to degree 4. It is possible to create a (n+1)x(n+1) matrix capable of handling polynomials up to degree n.
Exercise (hint: use falling powers).
Question: Is there a compact way ( recursive, perhaps ) of describing the matrix capable of handling polynomials up to degree n?
13-2016 Open letter to Open Source for You (OSFY)
5 months ago