Re: [sage-support] Re: Solve system of non linear equations

2012-12-08 Thread Martin Albrecht
Or compute a Gröbner basis: sage: P. = BooleanPolynomialRing() sage: Ideal(x^2 + y^2).groebner_basis() [x + y] sage: Ideal(x^2 + y^2).variety() [{y: 0, x: 0}, {y: 1, x: 1}] On Saturday 08 Dec 2012, Volker Braun wrote: > I take it you mean polynomial equations: > > sage: AA. = AffineSpace(

Re: [sage-support] Re: Solve system of non linear equations

2012-12-08 Thread Santanu Sarkar
Thank you. But when I try to solve f1=x1 + x2 + x4 + x10 + x31 + x43 + x56 , f2=x2 + x3 + x5 + x11 + x32 +x44 + x57, it becomes very slow. Is there any faster approach like F4 algorithm available in Sage? On 8 December 2012 17:25, Martin Albrecht wrote: > Or compute a Gröbner basis: > > sage:

Re: [sage-support] Re: Solve system of non linear equations

2012-12-08 Thread john_perry_usm
On Saturday, December 8, 2012 11:07:31 AM UTC-6, Santanu wrote: > > Thank you. But when I try to solve > f1=x1 + x2 + x4 + x10 + x31 + x43 + x56 , > f2=x2 + x3 + x5 + x11 + x32 +x44 + x57, > > it becomes very slow. Is there any faster approach like > F4 algorithm available in Sage? > F4 is not

Re: Re: [sage-support] Re: Solve system of non linear equations

2012-12-08 Thread Martin Albrecht
We are talking about the Boolean polynomial ring here, right? So an F4 style algorithm is used by default (subject to some heuristics). To emphasise you'd have to construct your ring using the BooleanPolynomialRing constructor. On Saturday 08 Dec 2012, john_perry_usm wrote: > On Saturday, Decemb