[Help-gsl] Multidimensional root solver

[Himanshu Chandola]

Hello everyone,

I've been using gsl to solve a set of polynomial equations which are non 
linear. There are n equations and n variables. And from the final 
solution i've to pick one which satisfies certain constraints. The 
multidimensional solver that i use is : gsl_multiroot_fsolver.

Now, the thing with multidimensional solver is that I can't give it 
search bounds unlike the one dimensional solver. Besides this, since the 
multidimensional solver only returns me one root that it finds (the one 
that it would find first), there is no way of searching the other roots 
which would satisfy the constraints.

So, I was thinking whether someone has encountered similar problem 
before and figured  solving a set of simultaneous nonlinear equations 
(polynomials for that matter) when you would want to get all of the 
solutions. Or at least the solution satisfying certain constraints 
(which perhaps might be achieved by giving search bounds to the solver, 
but isn't available in the multidimensional solver).

thanks in advance


Himanshu