Search Results - Difference of convex functions constraints

On solving difference of convex functions programs with linear complementarity constraints by Le Thi, Hoai An, Nguyen, Thi Minh Tam, Dinh, Tao Pham

“… (Difference of Convex functions) on a set defined by linear constraints and linear complementarity constraints, named Difference of Convex functions programs with Linear Complementarity Constraints…”
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Long-Short Portfolio Optimization Under Cardinality Constraints by Difference of Convex Functions Algorithm by Le Thi, Hoai An, Moeini, Mahdi

“… Attempting to use DC (Difference of Convex functions) programming and DCA (DC Algorithms), an efficient approach in non-convex programming framework…”
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On the Problem of Minimizing a Difference of Polyhedral Convex Functions Under Linear Constraints by Van Hang, Nguyen Thi, Yen, Nguyen Dong

“…This paper is concerned with two d.p. (difference of polyhedral convex functions…”
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Asymptotic Analysis of Sample Average Approximation for Stochastic Optimization Problems with Joint Chance Constraints via Conditional Value at Risk and Difference of Convex Functions by Sun, Hailin, Xu, Huifu, Wang, Yong

“…Conditional Value at Risk (CVaR) has been recently used to approximate a chance constraint…”
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Optimality Conditions and a Method of Centers for Minimax Fractional Programs with Difference of Convex Functions by Boufi, Karima, El Haffari, Mostafa, Roubi, Ahmed

“…We are concerned in this paper with minimax fractional programs whose objective functions are the maximum of finite ratios of difference of convex functions, with constraints also described…”
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Optimal Power Flow of Radial Networks and Its Variations: A Sequential Convex Optimization Approach by Wei, Wei, Wang, Jianhui, Li, Na, Mei, Shengwei

“…) problems over radial networks. The non-convex branch power flow equation is decomposed as a second-order cone inequality and a non-convex constraint involving the difference of two convex functions…”
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Time-Optimal Path Following for Robots With Convex-Concave Constraints Using Sequential Convex Programming by Debrouwere, Frederik, Van Loock, Wannes, Pipeleers, Goele, Dinh, Quoc Tran, Diehl, Moritz, De Schutter, Joris, Swevers, Jan

“… The present paper proposes an efficient sequential convex programming (SCP) approach to solve the corresponding nonconvex optimal control problems by writing the nonconvex constraints as a difference of convex (DC…”
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On minimizing difference of a SOS-convex polynomial and a support function over a SOS-concave matrix polynomial constraint by Lee, Jae Hyoung, Lee, Gue Myung

“…In this paper, we establish tractable sum of squares characterizations of the containment of a convex set, defined by a SOS-concave matrix inequality, in a non-convex set, defined by difference…”
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Global minimization of difference of quadratic and convex functions over box or binary constraints by Jeyakumar, V., Huy, N. Q.

“… We also derive global optimality conditions for the minimization of the difference of quadratic and convex functions over binary constraints. We discuss several numerical examples to illustrate the significance of the optimality conditions…”
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The Boosted DC Algorithm for Linearly Constrained DC Programming by Aragón-Artacho, F. J., Campoy, R., Vuong, P. T.

“… In this work, we propose an extension of BDCA that can be applied to difference of convex functions programs with linear constraints, and prove that every cluster point of the sequence generated…”
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Optimality Conditions and Lagrange Dualities for Optimization Problems Involving Φc-convex Functions by Hu, Ling-Li, Fang, Dong-Hui

“…c-convex functions and the constraints include a set constraint and a cone constraint…”
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Lifted stationary points of sparse optimization with complementarity constraints by Liu, Shisen, Chen, Xiaojun

“… ) is a mathematical program with complementarity constraints (MPCC) and a difference-of-convex objective function…”
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Estimating individualized treatment rules with risk constraint by Huang, Xinyang, Xu, Jin

“…‐1 loss in the objective function and constraint, respectively, and transforms the estimation problem into a difference of convex functions (DC…”
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Cardinality optimization in constraint-based modelling: application to human metabolism by Fleming, Ronan M T, Haraldsdottir, Hulda S, Minh, Le Hoai, Vuong, Phan Tu, Hankemeier, Thomas, Thiele, Ines

“…Abstract Motivation Several applications in constraint-based modelling can be mathematically formulated as cardinality optimization problems involving the minimization or maximization of the number…”
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Combining Convex-Concave Decompositions and Linearization Approaches for Solving BMIs, With Application to Static Output Feedback by Quoc Tran Dinh, Gumussoy, S., Michiels, W., Diehl, M.

“…A novel optimization method is proposed to minimize a convex function subject to bilinear matrix inequality (BMI) constraints…”
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A Proximal Alternating Direction Method of Multipliers for DC Programming with Structured Constraints by Zhou, Yingxin, He, Hongjin, Zhang, Linan

“…) convex functions, and the constraint is a linear function belonging to a nonempty closed convex set…”
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Optimality conditions and DC-Dinkelbach-type algorithm for vector fractional programming problems with ratios of difference of convex functions by Ghazi, A., Roubi, A.

“…In this work, necessary optimality conditions of KKT type for (weak) Pareto optimality are derived and a DC-Dinkelbach-type algorithm is proposed for vector fractional mathematical programs with ratios of difference of convex (DC…”
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Multi-target elliptic positioning via difference of convex functions programming by Dang, Xudong, Liu, Hongwei, Yan, Junkun

“… We first develop an equivalent Difference of Convex functions (DC) representation for the non-convex Boolean constraint imposed on the association variables, making the problem tractable…”
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Multiobjective DC programs with infinite convex constraints by Qu, Shaojian, Goh, Mark, Wu, Soon-Yi, De Souza, Robert

“…) that are defined on Banach spaces (finite or infinite dimensional) with objectives given as the difference of convex functions…”
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Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs by Dinh, N., Mordukhovich, B., Nghia, T. T. A.

“… We focus on DC infinite programs with objectives given as the difference of convex functions subject to convex inequality constraints…”
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