Mike wrote:
>
> I'd like to be able to do linear programming to arbitrary precision.  The 
> documentation that I've found claims that both the glpk  and PPL solvers 
> should do this, but I haven't been able to get either to work.
>
> As an example, the following code prints c to high precision, but the 
> solutions only to 12 digits.  Where should I look for guidance?
> Note: this seeks to maximize x+y given that 3x<=1 and 3y<=1, so the 
> solution is (1/3, 1/3)
>
> Mike M
>
> R=RealField(100)
> c=Matrix(R, 2, 1, [-1, -1])
> G=Matrix(R, 2, 2, [3, 0, 0, 3])
> h=Matrix(R, 2, 1, [1, 1])
> print c  # To check the precision being used by "print"
> print
>
> sol=linear_program(c,G,h)
> print sol['x']
> sol=linear_program(c,G,h, solver='glpk')
> print sol['x']
> sol=linear_program(c,G,h, solver='PPL')
> print sol['x']
>
>
This reminds me of a recent discussion about precision
and number of correct digits through a calculation:

https://groups.google.com/d/topic/sage-devel/ypcOxPlv__s/discussion

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