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

[Rhys Ulerich]

> 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