Inversion of parameterized hypersurfaces by means of subresultants

  • Authors:
  • Laurent Busé;Carlos D'Andrea

  • Affiliations:
  • INRIA, GALAAD, Cedex, France;University of California at Berkeley, Berkeley, CA

  • Venue:
  • ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
  • Year:
  • 2004

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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.