#13141: implement constructing the dual of a linear program
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       Reporter:  dimpase             |         Owner:  ncohen  
           Type:  enhancement         |        Status:  new     
       Priority:  major               |     Milestone:  sage-5.2
      Component:  linear programming  |    Resolution:          
       Keywords:                      |   Work issues:          
Report Upstream:  N/A                 |     Reviewers:          
        Authors:                      |     Merged in:          
   Dependencies:                      |      Stopgaps:          
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Comment (by novoselt):

 It cannot be a solver back-end: the point is not to have another algorithm
 of solving LPs, but to allow students using simplex method step-by-step
 without worrying about arithmetic. I also made the output match the
 lecture notes which we were using, and input is done by matrices/vectors.
 The standard way of constructing linear programs in Sage is, IMHO,
 extremely confusing for beginners.

 One of the first versions of the module was published here:
 http://www.sagenb.org/home/pub/3318/
 most of the math is now screwed up, which is quite unfortunate and
 annoying, but it is still more or less clear what it does. Later versions
 also support "revised dictionaries" and plots for graphical solving in 2D,
 e.g. this exam solutions were generated by it via SageTeX:
 http://www.math.ualberta.ca/~novoseltsev/2011Fall373A1/final_solutions.pdf

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13141#comment:3>
Sage <http://www.sagemath.org>
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