ewan . Delanoy on Mon, 02 Feb 2009 16:25:36 +0100


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System of two polynomial equations



             Hello all,

     if F and G are two polynomials in two variables x
and y, the system {F(x,y)=0,G(x,y)=0}, is usually
equivalent to a system of the form {P(x)=0,y=Q(x)}, where
P and Q are univariate polynomials.

  P can be easily computed with GP: it's essentially equal to
polresultant(F(x,y),G(x,y),y).
   What about Q ? I can't think of a GP function that deals with
this in a simple way.

             Thanks in advance for any help,

                               Ewan