Originally posted by: SystemAdmin
[achterberg said:]
The dual multipliers that you get from barrier have the same meaning as for the simplex code. That is, the dual vector is a feasible solution to the dual of your LP. In other words, if you aggregate the rows of the problem using the weights of the dual vector, you will get a proof of optimality.
The difference to a simplex solution (for both, the primal and the dual solution vector) is just that the barrier solution is typically not a vertex of the primal and dual LP polyhedra. In other words, it does not correspond to a basis.
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