1. Fast amortized multi-point evaluation.
- Author
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van der Hoeven, Joris and Lecerf, Grégoire
- Subjects
- *
ALGORITHMS , *FINITE fields , *INTERPOLATION algorithms , *POLYNOMIALS , *INTEGERS , *POINT set theory - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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