On Sun, Aug 24, 2008 at 12:16 PM, Michael <[EMAIL PROTECTED]> wrote:
>
> I have a polynomial system of 50 equations in 50 unknowns. I would
> like
> to numerically solve this system (I'm interested in complex zeros).
> Seems to me that if I use sage's solve, it will sttempt to solve these
> algebraically.
>
> Are there any funcitons in sage for solving a polynomial or non-linear
> system
> numerically.

You're probably going to want to use scipy.optimize.  It has a large
range of sophisticated numerical optimization routines.  Maybe
they can be used for what you want.  I've hardly used them, so I
can't easily say more -- hopefully somebody who has can.

sage: import scipy
scisagimport scipy.optimize
sage: scipy.optimize.
scipy.optimize.NumpyTest            scipy.optimize.broyden2
 scipy.optimize.fmin_ncg             scipy.optimize.moduleTNC
scipy.optimize.anderson             scipy.optimize.broyden3
 scipy.optimize.fmin_powell          scipy.optimize.newton
scipy.optimize.anderson2            scipy.optimize.broyden_generalized
 scipy.optimize.fmin_tnc             scipy.optimize.nonlin
scipy.optimize.anneal               scipy.optimize.brute
 scipy.optimize.fminbound            scipy.optimize.optimize
scipy.optimize.approx_fprime        scipy.optimize.check_grad
 scipy.optimize.fsolve               scipy.optimize.ridder
scipy.optimize.bisect               scipy.optimize.cobyla
 scipy.optimize.golden               scipy.optimize.rosen
scipy.optimize.bisection            scipy.optimize.fixed_point
 scipy.optimize.lbfgsb               scipy.optimize.rosen_der
scipy.optimize.bracket              scipy.optimize.fmin
 scipy.optimize.leastsq              scipy.optimize.rosen_hess
scipy.optimize.brent                scipy.optimize.fmin_bfgs
 scipy.optimize.line_search          scipy.optimize.rosen_hess_prod
scipy.optimize.brenth               scipy.optimize.fmin_cg
 scipy.optimize.linesearch           scipy.optimize.test
scipy.optimize.brentq               scipy.optimize.fmin_cobyla
 scipy.optimize.minpack              scipy.optimize.tnc
scipy.optimize.broyden1             scipy.optimize.fmin_l_bfgs_b
 scipy.optimize.minpack2             scipy.optimize.zeros

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