On Monday, June 23, 2014 3:55:51 AM UTC-4, Camille Chambon wrote:
>
> Hello Vinzent,
>
> It's exactly what I was looking for. Thanks!
>
> How do you choose the starting point? The coefficients (0.66, 0.34 and 
> 0.7) may vary. Is there a way to choose the right starting point 
> automatically?
>

I'm not sure what you mean. Do you want multidimensional root finding? 
(I.e. do you want to find parameters for which the expression becomes 
zero?) Or do you want to find the root for various given coefficients?

For multidimensional root finding sympy uses Newton's method, so it only 
works well if you know the approximate location of your root. There are 
algorithms that work for bad starting points implemented in scipy, you 
could use those to get an approximative solution and then refine the result 
to any precision you want using sympy.

If you parameters are fixed, then you can try a lot of different starting 
points in an interval and merge the results. You could use one of the 
bisection-based solvers (see mpmath.findroot).

Vinzent

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