Right now solveset can't solve multivariate polynomial equation system .
For example :
>>> solve([x*y -1 , 4*x**2 + y**2 -5],(x,y))
[(1/2, 2), (1, 1)]
Even solve also don't give two more solutions
`(-1/2 , -2) and (-1,-1) `
I found a good way to solve these types of equations, after reading some
good books on this topic.
Link is : (page 9 example 2.2)
http://people.math.gatech.edu/~aleykin3/math4803spr13/BOOK/chapter1.pdf
So here we need to construct a `Res(f1,f2 )` matrix.I hope this method will
work for most of the equation.
Please share your view on this approach.
I also updated the Solveset and solver wiki, please have a look :
https://github.com/sympy/sympy/wiki/Solveset-and-Solver-Discussion
--
Shekhar Prasad Rajak
On Thursday, 4 February 2016 00:40:34 UTC+5:30, Shekhar Prasad Rajak wrote:
>
>
> Hello,
> my name is Shekhar Prasad Rajak.I want to discuss about Solver and
> Solveset module
> https://github.com/sympy/sympy/wiki/GSoC-2016-Ideas#solvers .I am going
> to apply for GSoc'16, so trying to know
> what sympy community expecting.
> Solveset came to Replace all internal solve() calls
> https://github.com/sympy/sympy/issues/8711
> So I should focus on Solveset,right?
> I have some questions :
> 1.What are the main problems/issues in Solver and Solveset right now?
> 2.Is Solveset module done?If not,what are the main features, that should
> be added ?
> I have seen Harsh's PR : https://github.com/sympy/sympy/pull/7523
> It seems, these need some works :
> -functions solvable by LambertW
> -functions that can be recast as polynomials with a change of variables
> this, for example; this can be
> factored out of solve where multiple generators are handled
> -use something like this :
> https://github.com/sympy/sympy/pull/7523#issuecomment-62198981
> to handle the XFAILed test test_real_imag_splitting1, this will be
> handled in the set module.
>
> 3.This is list of Issues/ Discussions I found.
>
> https://github.com/sympy/sympy/wiki/GSoC-2014-Application-Harsh-Gupta:-Solvers#relevant-issues-discussions-and-references
>
> <https://github.com/sympy/sympy/wiki/GSoC-2014-Application-Harsh-Gupta:-Solvers#relevant-issues-discussions-and-references>
> but I don't know, whether they are solved or not.
> Issues which are still open in github repo, need solutions.
> There are also links of pdf and research papers, I am not sure whether
> they are implemented or not.
>
> 4.Can we use python library multiprocessing,Synchronization for the faster
> execution?one issue was opened for the same,which is closed now.But it is
> always better to take less time.
>
>
> --
> Shekhar Prasad Rajak
>
>
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