Sufficient Conditions for Global Optimality of Bivalent Nonconvex Quadratic Programs with Inequality Constraints

Sufficient Conditions for Global Optimality of Bivalent Nonconvex Quadratic Programs with Inequality Constraints
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DOI:
10.1007/s10957-007-9177-1
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发表时间:
2007-04
影响因子:
1.9
通讯作者:
Zhiyou Wu;V. Jeyakumar;A. Rubinov
Zhiyou Wu;V. Jeyakumar;A. Rubinov
中科院分区:
数学3区
文献类型:
--
作者:
Zhiyou Wu;V. Jeyakumar;A. Rubinov

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We present sufficient conditions for the global optimality of bivalent nonconvex quadratic programs involving quadratic inequality constraints as well as equality constraints. By employing the Lagrangian function, we extend the global subdifferential approach, developed recently in Jeyakumar et al. (J. Glob. Optim., 2007, to appear; Math. Program. Ser. A, 2007, to appear) for studying bivalent quadratic programs without quadratic constraints, and derive global optimality conditions.