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On Box Constrained Concave Quadratic Optimization

Jinghao Zhu (), Shangrui Zhao and Guohua Liu
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Jinghao Zhu: Tongji University
Shangrui Zhao: Tongji University
Guohua Liu: Tongji University

Journal of Optimization Theory and Applications, 2014, vol. 161, issue 3, No 8, 819-827

Abstract: Abstract This paper presents a class of differential flows to solve concave quadratic programming problems under box constraints. Some properties of the flow are given to reveal the significant relationship between the dynamic of the flow and the geometry of the feasible set. It is shown how the differential flow reaches a vertex point of the box, leading to a global minimizer of the concave quadratic programming. Some illustrative examples are also presented.

Keywords: Concave optimization; Quadratic programming; Differential flow (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0390-9

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