#19405: Add lyapunov_rank() method for polyhedral cones
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Reporter: mjo | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: geometry | Resolution:
Keywords: | Merged in:
Authors: Michael Orlitzky | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/mjo/ticket/19405 | 374f5e8a9940e7b22586fe2e702046a8c7907994
Dependencies: #19368 | Stopgaps:
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Comment (by novoselt):
Oh, and there are things missing:
{{{
+ If the ambient space is trivial, the Lyapunov rank will be zero.
+ Otherwise, if the dimension of the ambient vector space is `n`,
+ then the resulting Lyapunov rank will be between `1` and `n`
+ inclusive. A Lyapunov rank of `n-1` is not possible [Orlitzky]_.
}}}
This is only for proper cones, right? There is an example of `n^2` for the
vector space below. May be nice to quote the exact theorem number as well.
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Ticket URL: <http://trac.sagemath.org/ticket/19405#comment:10>
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