If there any mentors for the solvers module please review this, so that it 
might be easier to submit a better proposal.

On Monday, March 22, 2021 at 12:41:48 PM UTC+5:30 quadiro...@gmail.com 
wrote:

> Hi everyone!
>
> My name is Muhammed Abdul Quadir Owais (GIT-LINK 
> <https://github.com/MaqOwais>). I am interested in taking part in GSoC 
> this year. I have been contributing to sympy since last year (was active 
> around 5 to 6 months) and for the same reason, I’ve pretty nice command 
> over solveset module. I would like to discuss the solveset and solvers 
> proposal for improving solvers more specifically the solveset.py module. 
>
> The one-line description of this project in my view is,
>
> “To make `solveset` function able to solve the equations as much as 
> `solve`, 'linsolve' functions with its special features/attributes (like 
> giving a complete and definite set of solutions along with the complex 
> solutions which could return an infinite number of solutions,..) and this 
> should be ultimately easily maintainable (with better structure and 
> documentation).”
>
> My step by step plan is,
>
>
> 1. Improving lambert for solveset along with solving transcendental 
> equations(like lambert, exponential, etc..) in the complex domain. (On 
> which I’m currently working and could be finished prior to GSoC). (PR 
> #14972 <https://github.com/sympy/sympy/pull/14972> → lambert pr 
> <https://github.com/sympy/sympy/pull/21025>, pr for exp 
> <https://github.com/sympy/sympy/pull/21130>) 
>
> 2. Improving nonlinsolve for trigonometric (PR#18489 
> <https://github.com/sympy/sympy/pull/18489>)
>
> 3. Integration of helper solvers with solveset. So that solveset may give 
> solutions for multiple variables also set infrastructure to be developed 
> along the way!
>
> (helper solvers →  linsolve, nonlinsolve, and solve_decomposition)
>
>  
>
>  
>
> Further issues to be addressed are:
>
>    1. 
>    
>    Improving `invert` function in case of the complex domain.
>    
> Currently, a lot of complex domain equations are not able to give 
> solutions( whereas the real domain is able to give solutions) due to less 
> development of the `invert` function
>
>    1. 
>    
>    Solvify gives solutions ( as of solve function) with the help of 
>    solveset but does cover only fewer cases when compared to solveset.
>    
> This is due to the fact that solvify doesn’t return solutions for 
> intersection set so to cover this solvify should include cases for 
> intersection set.
>
>  
>
> The major reference PR’s which are concerned with this GSoC:
>
>    1. 
>    
>    https://github.com/sympy/sympy/issues/10006 → This is Replacing 
>    solve() with solveset()
>    2. 
>    
>    https://github.com/sympy/sympy/pull/18489 → for nonlinsolve for 
>    trigonometric and Improving its set infrastructure 
>    3. 
>    
>    https://github.com/sympy/sympy/issues/16861 → Proper solution of 
>    linear equations with symbolic coefficients.
>    
>
> CREDITS: OSCAR BENJAMIN helped me a lot in understanding the solveset 
> better also in current PR’s, in documentations even though I was a bit 
> frustrating :)
>

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