Some Applications of Optimization in Matrix Theory
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چکیده
We apply a recent characterization of optimality for the abstract convex program with a cone constraint to three matrix theory problems: (1) a generalization of Farkas’s lemma; (2) paired duality in linear programming over cones; (3) a constrained matrix best approximation problem. In particular, these results are not restricted to polyhedral or closed cones.
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تاریخ انتشار 1981