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Global optimality conditions and optimization methods for polynomial programming problems

Journal of Global Optimization, 2015
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Zhi-You Wu, J. Tian, Julien Ugon
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Optimality conditions for global optimization (I)

Acta Mathematicae Applicatae Sinica, 1985
With the help of the theory of measure and integration several global optimality conditions, which are sufficient and necessary, are given for minimizing a continuous function over a topological space.
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Global Optimality Conditions and Optimization Methods for Quadratic Knapsack Problems

Journal of Optimization Theory and Applications, 2011
The quadratic knapsack problem (QKP) maximizes a quadratic objective function subject to a binary and linear capacity constraint. The classic knapsack problem (CKP) is a special kind of QKP with no cross terms for the objective function, and the supermodular knapsack problem (SKP) is a special kind of QKP with nonnegative cross terms for the objective ...
Zhi-You Wu, Y. J. Yang, Fu-Sheng Bai, Musa Mammadov   +3 more
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Sufficient Global Optimality Conditions for Non-convex Quadratic Minimization Problems With Box Constraints

Journal of Global Optimization, 2006
In this paper we establish conditions which ensure that a feasible point is a global minimizer of a quadratic minimization problem subject to box constraints or binary constraints.
Vaithilingam Jeyakumar, A M Rubinov
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Optimality conditions in global optimization and their applications

Mathematical Programming, 2007
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Alex M. Rubinov, Zhi-You Wu
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On Global Optimality Conditions for Nonlinear Optimal Control Problems

Journal of Global Optimization, 1998
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Francis H. Clarke, Jean-Baptiste Hiriart-Urruty, Yuri S. Ledyaev   +2 more
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Global Optimality Conditions in Nonconvex Optimization

Journal of Optimization Theory and Applications, 2017
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Global Optimality Conditions for Nonconvex Optimization

Journal of Global Optimization, 1998
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A Sufficient Condition for Local Optima to be Globally Optimal

2020 59th IEEE Conference on Decision and Control (CDC), 2020
Consider an optimization problem with a convex cost function but a non-convex compact feasible set $\mathcal{X}$, and its relaxation with a compact and convex feasible set $\hat {\mathcal{X}} \supset \mathcal{X}$. We prove that if from any point $x \in \hat {\mathcal{X}}\backslash \mathcal{X}$ there is a path connecting x to $\mathcal{X}$ along which ...
Zhou, Fengyu, Low, Steven H.
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Conditions for Global Optimality 2

Journal of Global Optimization, 1998
In this paper bearing the same title as our earlier survey-paper [11] we pursue the goal of characterizing the global solutions of an optimization problem, i.e. getting at necessary and sufficient conditions for a feasible point to be a global minimizer (or maximizer) of the objective function.
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