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