On the specification for solvers of polynomial systemsReport as inadecuate




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1 SPACES - Solving problems through algebraic computation and efficient software INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications

Abstract : In this paper, the main different methods for solving polynomial systems \Gr es, triangular sets,~\ldots are compared on an example coming from geometry. It is shown that these methods may be combined for automatically studying the number of admissible real solutions of a polynomial system depending on parameters; this study provides as output a description of this number as a function of the parameters.

Keywords : triangular set calcul formel computer algebra symbolic computation algebraic computation polynomial system solving polynomial equation polynomial inéquation geometry triangle gröbner basis système de calcul formel systeme d-équations polynomiales système polynomial équation polynomiale inéquation polynomiale géométrie base de gröbner ensemble triangulaire





Author: Daniel Lazard -

Source: https://hal.archives-ouvertes.fr/



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