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Added random matrices(Gaussian Ensembles only) #17174
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Brief description of what is fixed or changed
I have added framework random matrices.
This is a work in progress. The first commit depicts how the framework for random matrices will look like. More features will added in the upcoming updates.
Your release notes are in good order.
Here is what the release notes will look like:
This will be added to https://github.com/sympy/sympy/wiki/Release-Notes-for-1.5.
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The release notes on the wiki have been updated.
@@ Coverage Diff @@ ## master #17174 +/- ## ============================================= + Coverage 74.548% 74.607% +0.058% ============================================= Files 623 626 +3 Lines 161785 162168 +383 Branches 37966 38029 +63 ============================================= + Hits 120608 120989 +381 + Misses 35827 35820 -7 - Partials 5350 5359 +9
I have made some minor architectural changes to
There is still the possibility of leaving the expressions unevaluated or raising
I will see if I can implement them in this PR. If I found that it will take longer than I will just raise
I studied about expressions of random matrices. Here are my comments,
I got to know that there isn't any general technique to find the density of an expression containing more than 1 random matrix. In fact, for example, if we take a matrix from Gaussain Unitary Ensemble(GUE) and raise it to a power more than 2 then it's not necessary that it belongs to the GUE(reference - http://web.mit.edu/18.06-esg/18.034/03pract.pdf, point - D, page - 2).
Some special techniques
In short, for sum the result can be determined.
I suggest that we should raise
I will update the PR with other matrix ensembles. Thanks.