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.

Note: Joint work with Grégoire Lecerf

Occasion: ISSAC 2021, hybrid on-site/online conference, Saint Petersburg, Russia, July 21, 2021

Documents: slideshow, TeXmacs source