Amortized bivariate multi-point evaluation

Joris van der Hoeven (1) , Grégoire Lecerf (1)

1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]

The evaluation of a polynomial at several points is called the problem of multi-point evaluation. Sometimes, the set of evaluation points is fixed and several polynomials need to be evaluated at this set of points. Efficient algorithms for this kind of “amortized” multi-point evaluation were recently developed for the special case when the set of evaluation points is sufficiently generic. In this paper, we design a new algorithm for arbitrary sets of points, while restricting ourselves to bivariate polynomials.

Domaines: Complexité [cs.CC]; Calcul formel [cs.SC]

Joris van der Hoeven, Grégoire Lecerf. Amortized bivariate multi-point evaluation. International Symposium on Symbolic and Algebraic Computation 2021, Jul 2021, Saint Petersbourg, Russia. ⟨10.1145/3452143.3465531⟩. ⟨hal-03124458⟩