#14507: Implement the tropical semiring
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-5.10
Component: algebra | Resolution:
Keywords: tropical geometry semiring | Work issues: documentation,
design
Report Upstream: N/A | Reviewers: Vincent
Delecroix
Authors: Travis Scrimshaw | Merged in:
Dependencies: | Stopgaps:
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Comment (by vdelecroix):
Replying to [comment:5 tscrim]:
> So just to make sure, you want tropical operations being performed with
regular matrix multiplication, i.e.
> {{{
> [a b] * [c] = min(a+c, b+d)
> [d]
> }}}
> Which makes more sense, I was thinking of the set of all `n x m`
matrices over a [totally ordered] ring R where the `min` would be the
minimum of all the entries.
This is it. I found another wikpedia page that describes it :wikipedia
:Max-plus_algebra (as the name suggests it is max and not min).
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14507#comment:7>
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