Content deleted Content added
Undid revision 1196249709 by Jrheller1 (talk) – revert unsourced comment. the various (x - x_i)/(x - x_i) should cancel in every instance, no? so we just need to interpret this in the limit sense, where such quotients are treated as equal to 1. converting to monomial basis is not a good alternative method. there might be clearer explanations of practical computation methods for derivatives somewhere, feel free to look for sources |
|||
Line 229:
and likewise for higher derivatives.
Note that all of these formulas for derivatives are invalid at or near a node. A method of evaluating all orders of derivatives of a Lagrange polynomial efficiently at all points of the domain, including the nodes, is converting the Lagrange polynomial to power basis form and then evaluating the derivatives.
==Finite fields==
| |||