Revised simplex method: Difference between revisions

Revision as of 02:18, 26 March 2021

Revision as of 15:45, 30 October 2022

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\end{array}

</math>

where {{math|'''''A''''' ∈ '''R'''ℝ^''m''×''n''}}. Without loss of generality, it is assumed that the constraint matrix {{math|'''''A'''''}} has full row rank and that the problem is feasible, i.e., there is at least one {{math|'''''x''''' ≥ '''0'''}} such that {{math|'''''Ax''''' {{=}} '''''b'''''}}. If {{math|'''''A'''''}} is rank-deficient, either there are redundant constraints, or the problem is infeasible. Both situations can be handled by a presolve step.

==Algorithmic description==