Towards Toric Absolute Factorization

Mohamed Elkadi 1 André Galligo 1 Martin Weimann 2
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : This article gives an algorithm to recover the absolute factorization of a bivariate polynomial, taking into account the geometry of its monomials. It is based on algebraic criterions inherited from algebraic interpolation and toric geometry.
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Submitted on : Thursday, December 3, 2009 - 10:42:59 AM
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Mohamed Elkadi, André Galligo, Martin Weimann. Towards Toric Absolute Factorization. Journal of Symbolic Computation, Elsevier, 2009, pp.1194-1211. ⟨10.1016/j.jsc.2008.03.007⟩. ⟨inria-00438275⟩

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