Hi everyone and Alberto,
Numeric.LinearProgramming[1] provides a very nice interface for solving LP optimisation problems, and the well-known simplex algorithm itself. I must say I quite liked the interface it provides, simple yet sufficient.
But, to my understanding, there is a confusion in the constructor name (symbols actually) for constraints. In LP, one needs to write constraints in the form of ==, <=, or >= only. You cannot write a constraint using strict inequalities. The algorithm has nothing wrong, but I guess it would be better to have constructor symbols right. See [2]
If this is a design choice, I think it should explicitly be stated.
Regards,
[1] http://hackage.haskell.org/package/hmatrix-glpk
[2] http://hackage.haskell.org/packages/archive/hmatrix-glpk/0.1.0/doc/html/Numeric-LinearProgramming.html#t%3ABound
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Ozgur Akgun