Abstract
We describe a new algorithm for the localization of an algebraic hypersurfaceV inR n or Cn. This algorithm computes a decreasing sequence of closed sets whose intersection isV. In the particular case of an hypersurface without any point at infinity, the notion of the asymptotic cone is used to determine a compact set containing this hypersurface. We give also a numerical version of this algorithm.
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Dedieu, JP., Yakoubsohn, JC. Localization of an algebraic hypersurface by the exclusion algorithm. AAECC 2, 239–256 (1992). https://doi.org/10.1007/BF01614147
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DOI: https://doi.org/10.1007/BF01614147