Algebraic computation of resolvents without extraneous powers

نویسندگان

  • Philippe Aubry
  • Annick Valibouze
چکیده

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 a univariate polynomial is obtained. © 2012 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 33  شماره 

صفحات  -

تاریخ انتشار 2012