On sparse interpolation of rational functions and gcds

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

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

In this note, we present a variant of a probabilistic algorithm by Cuyt and Lee for the sparse interpolation of multivariate rational functions. We also present an analogous method for the computation of sparse gcds.

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

Joris van der Hoeven, Grégoire Lecerf. On sparse interpolation of rational functions and gcds. ACM Communications in Computer Algebra, 2021, 55 (1), pp.1-12. ⟨10.1145/3466895.3466896⟩. ⟨hal-02999695⟩