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Algebraic Computation of resolvents without extraneous powers

Philippe Aubry 1 Annick Valibouze 2, 1, *
* Corresponding author
1 APR - Algorithmes, Programmes et Résolution
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : This paper presents an algorithm for computing algebraically relative resolvents which enhances an existing algorithm by avoiding the accumulation of superfluous powers in the intermediate computations. The superfluous power generated at each step is predetermined over a certain quotient ring. As a byproduct, an efficient algorithm for extracting an n-th root of an univariate polynomial is obtained.
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Submitted on : Saturday, September 17, 2011 - 3:36:57 PM
Last modification on : Friday, January 8, 2021 - 5:32:06 PM

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Philippe Aubry, Annick Valibouze. Algebraic Computation of resolvents without extraneous powers. European Journal of Combinatorics, Elsevier, 2012, 33 (7), pp.1369-1385. ⟨10.1016/j.ejc.2012.03.003⟩. ⟨hal-00624447⟩



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