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Article Dans Une Revue Journal of Complexity Année : 2021

Fast amortized multi-point evaluation

Grégoire Lecerf
MAX

Résumé

The efficient evaluation of multivariate polynomials at many points is an important operation for polynomial system solving. Kedlaya and Umans have recently devised a theoretically efficient algorithm for this task when the coefficients are integers or when they lie in a finite field. In this paper, we assume that the set of points where we need to evaluate is fixed and "sufficiently generic". Under these restrictions, we present a quasi-optimal algorithm for multi-point evaluation over general fields. We also present a quasi-optimal algorithm for the opposite interpolation task.
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Dates et versions

hal-02508529 , version 1 (14-03-2020)

Identifiants

Citer

Joris van der Hoeven, Grégoire Lecerf. Fast amortized multi-point evaluation. Journal of Complexity, In press, ⟨10.1016/j.jco.2021.101574⟩. ⟨hal-02508529⟩
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