Hello,
I am Kshitij Saraogi and I will be a GSoC applicant this year under SymPy. I wanted to discuss about the Solvers project.[1] <https://github.com/sympy/sympy/wiki/gsoc-2016-ideas#solvers> After going through the discussions mentioned on the Ideas page, I would like to get inputs on a few ideas for this project: 1. Search based Solvers [2] <https://github.com/sympy/sympy/blob/master/doc/src/modules/solvers/solveset.rst#search-based-solver-and-step-by-step-solution> : I find this idea quite intriguing. I understand only an abstract view of the idea was presented there. I think we should try to implement this as it would make the API cleaner and robust. Since, not much has been written about this, I would like to know more about it. - What is the methodology we are thinking to use for ranking solutions (if any)? - What would be the parameters on which the cost function of different sets depend ? So, I would appreciate guidance in this direction. 2. Simplifying solutions returned from equations involving trigonometric expressions: The solveset module needs improvement with regards to the trignometric equation solver. An equation,as simple as, sin(x)=0 gives an output which should be simplified. This should be a big concern. What would be some good starting points to get an overview of the issue and possibly a few ideas to resolve this ? 3. Implementing more equation solvers: [3] <https://github.com/sympy/sympy/issues/10006> - System of multivariate linear equations. - Nonlinear multivariate equation solver. - Equations solvable by LamberW function (Transcendental equation solver) - Nested trignometric expressions. As Amit pointed out here[4] <https://github.com/sympy/sympy/issues/10006#issuecomment-149339351>, that we need (ii) and (iii) to make solveset at par with solve. I found this paper [5] <http://www.hpcc.unn.ru/mskurs/ENG/DOC/pp09.pdf> which talks about implementing a parallel Gauss method for solving this issue. Is it relevant ? While fixing an issue [6] <https://github.com/sympy/sympy/pull/10289>, I came to know that we need a more reliable multivariate nonlinear equation solver. I would like to know more about these solvers with respect to their immediate need and the possible methods of their implementation. 4. Solving f(x + a) - f(x) = 0 equations: [7] <https://github.com/sympy/sympy/issues/10426> While going through some issues, I found that the current solvers can’t handle these type of equations. 5. Building the set infrastructure: - Implementing functions to handle multidimensional ImageSet Can we be more elaborate on what other features are we expecting ? I would really appreciate if someone can point out the issues I may have missed. Also, any relevant resources or links for further readings would help too. Thanks, Kshitij Saraogi -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/863cae83-92e7-4c62-bf75-5cee74c1b63a%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
