Re: [Help-gsl] solution of 3d quadratic algebraic system

[FARKAS, Illes]

2012/10/28 Rhys Ulerich <address@hidden>

> > Can you please suggest a fast GSL method / algorithm to find the
> solutions
> > of a quadratic 3d system of algebraic equations?
> >
> > In the reduced form all 3 equations have zero on the l.h.s., and on the
> > r.h.s. there are constant, linear and quadratic terms composed of x1, x2,
> > x3 (the three variables).
>
> Newton iteration, especially if you provide analytic Jacobian, should do
> well here. There may be faster things that can return multiple solutions,
> however.
>
> - Rhys
>

Thanks, I've chosen the hybrid
algorithm<http://www.gnu.org/software/gsl/manual/html_node/Example-programs-for-Multidimensional-Root-finding.html>
.

Illes