Inversion of parameterized hypersurfaces by means of subresultants

Laurent Busé 1 Carlos d'Andrea 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 : We present a subresultant-based algorithm for deciding if the parametrization of a toric hypersurface is invertible or not, and for computing the inverse of the parametrization in the case where it exists. The algorithm takes into account the monomial structure of the input polynomials.
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Laurent Busé, Carlos d'Andrea. Inversion of parameterized hypersurfaces by means of subresultants. Internation Symposium on Symbolic and Algebraic Computing (ISSAC), Jul 2004, Santander, Spain, pp.65--71. ⟨inria-00098678⟩

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