I'm implementing the double description algorithm in that ticket. Its of 
course not entirely unrelated, but doesn't do the inequality-reshuffling 
part for you.



On Friday, May 16, 2014 4:52:20 PM UTC+1, Dima Pasechnik wrote:
>
> On 2014-05-16, Jeroen Demeyer <[email protected] <javascript:>> 
> wrote: 
> > On 2014-05-15 11:33, Volker Braun wrote: 
> >> On Thursday, May 15, 2014 8:45:47 AM UTC+1, Jeroen Demeyer wrote: 
> >> 
> >>      > IMHO, Jeroen needs to use Fourier-Motzkin elimination. 
> >>     Yes, something like that. Elimination based purely on the H-rep 
> without 
> >>     first computing the V-rep. Is this implemented in Sage? In PPL? 
> >> 
> >> 
> >> So is that the question, you have a problem where you can not compute 
> >> the V-representation of the initial set of inequalities? 
> > Essentially yes, although it is also a matter of patience... 
> > The projected polyhedron is much simpler than the original polyhedron 
> > before projecting. 
> > 
> >> There is no special support for doing the Fourier-Motzkin elimination 
> of 
> >> variables in Sage, but then its a pretty straightforward reshuffling of 
> >> the inequalities. Then one can hope to apply double description in 
> lower 
> >> dimension. 
> > Of course, but I personally don't feel like implementing this (I also 
> > don't really know about the algorithms behind this). 
>
> Perhaps Volker's http://trac.sagemath.org/ticket/16101 
> can be used as a good starting point. 
> I didn't read the code, but how else does he go between V and 
> H-representations, if not by Fourier-Motzkin... 
>
> Dima 
>
>

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