#19867: Add Motzkin decomposition for convex cones
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Reporter: mjo | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.0
Component: geometry | Resolution:
Keywords: | Merged in:
Authors: Michael Orlitzky | Reviewers: Andrey Novoseltsev
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/mjo/ticket/19867 | 303093b3f737d9f0a578d59eaa0cc98414d1e003
Dependencies: 19831 | Stopgaps:
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Comment (by novoselt):
Cones have been there for a while and we didn't have problems with
decomposition ambiguity, so Volker's suggestion makes sense to me.
Also I've missed it before, but the components are NOT orthogonal - there
is no such concept for rays in the same lattice. If you insist on casting
the dual cone to the primal lattice etc, then please add a warning block
that this orthogonality is to be understood under the dot product for the
primal lattice. Except that there is no dot product between rays of the
same lattice... What do you actually need this orthogonality for anyway?
Why not just pick generators which are not in L?
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Ticket URL: <http://trac.sagemath.org/ticket/19867#comment:7>
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