<p>The evaluation of a polynomial at several points is called the problem of multi-point evaluation. We design new faster deterministic algorithms to solve this problem for an algebraic computational model. For this purpose, we analyze the precomputation costs of recent amortized evaluation algorithms, and then study the complexity of the problem as a function of the number of evaluation points.</p>

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Faster multi-point evaluation over any field

  • Joris van der Hoeven,
  • Grégoire Lecerf

摘要

The evaluation of a polynomial at several points is called the problem of multi-point evaluation. We design new faster deterministic algorithms to solve this problem for an algebraic computational model. For this purpose, we analyze the precomputation costs of recent amortized evaluation algorithms, and then study the complexity of the problem as a function of the number of evaluation points.