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.
@article{inria-00098678,
author = {Bus\'e, Laurent and D'Andrea, Carlos},
title = {Inversion of parameterized hypersurfaces by means of subresultants},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/inria-00098678}
}
Busé, Laurent; D'Andrea, Carlos. Inversion of parameterized hypersurfaces by means of subresultants. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/inria-00098678/