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Global optimality conditions for fixed charge quadratic programs
Authors:G Q Li  Q Long  L Jiang
Institution:1.School of Mathematical Sciences,Chongqing Normal University,Chongqing,China;2.School of Science,Southwest University of Science and Technology,Mianyang,China;3.Department of Mathematics and Statistics,Curtin University,Bentley,Australia
Abstract:In this note, we establish sufficient and necessary global optimality conditions for fixed charge quadratic programming problem. The main theoretical tool for establishing these global optimality conditions is abstract convexity. The newly obtained sufficient condition extends the existing sufficient conditions. A numerical example is also provided to illustrate our optimality conditions.
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