#18143: Random symmetric, skew symmetric etc. matrices
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Reporter: jmantysalo | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.6
Component: linear algebra | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by mjo):
I needed this once for a few special classes of matrices. A few things
turned out to be necessary that I initially didn't consider. The ability
to specify,
* Whether or not you want the zero matrix
* The base ring
* The rank of the resulting matrix
I have `random_psd()` here:
http://michael.orlitzky.com/git/?p=sage.d.git;a=blob;f=mjo/cone/symmetric_psd.py;h=bb46fc926ec8dc23588ef08ea49a974060a02841;hb=HEAD
and you can feel free to steal that code.
What I really wanted, in that case, was a doubly-non-negative matrix. I
implemented `random_doubly_nonnegative()` too if you promise not to laugh
at my algorithm.
http://michael.orlitzky.com/git/?p=sage.d.git;a=blob;f=mjo/cone/doubly_nonnegative.py;h=56a655e52c5cd60cbf1073c351e65833e5f54500;hb=HEAD
Per the docstrings, "random" is a bit of a euphemism.
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Ticket URL: <http://trac.sagemath.org/ticket/18143#comment:1>
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