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Linear decomposition approach for a class of nonconvex programming problems [PDF]
Journal of Inequalities and Applications, 2017 This paper presents a linear decomposition approach for a class of nonconvex programming problems by dividing the input space into polynomially many grids.
Peiping Shen, Chunfeng Wang
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A Customized ADMM Approach for Large-Scale Nonconvex Semidefinite Programming [PDF]
Mathematics, 2023 We investigate a class of challenging general semidefinite programming problems with extra nonconvex constraints such as matrix rank constraints. This problem has extensive applications, including combinatorial graph problems, such as MAX-CUT and ...
Chuangchuang Sun
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Nondifferentiable generalized minimax fractional programming under (Ф,ρ)-invexity [PDF]
Yugoslav Journal of Operations Research, 2022 In this paper, a class of nonconvex nondifferentiable generalized minimax fractional programming problems is considered. Sufficient optimality conditions for the considered nondifferentiable generalized minimax fractional programming problem are ...
Upadhyay B.B. +3 more
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IEEE Access, 2022 The branch and bound (BB) algorithm is widely used to obtain the global solution of mixed-integer linear programming (MILP) problems. On the other hand, when the traditional BB structure is directly used to solve nonconvex mixed-integer nonlinear ...
Reinaldo T. Zoppei +4 more
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Quadratic Program on a Structured Nonconvex Set [PDF]
Mathematical Problems in Engineering, 2020 In this paper, we focus on a special nonconvex quadratic program whose feasible set is a structured nonconvex set. To find an effective method to solve this nonconvex program, we construct a bilevel program, where the low-level program is a convex program while the upper-level program is a small-scale nonconvex program. Utilizing some properties of the
Yi Xu, Lili Han
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IEEE Access, 2022 In low earth orbit (LEO) satellite communication systems, the limited energy supply capacity and the difficulty in obtaining channel state information (CSI) are the practical challenges.
Yang Liu +3 more
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Fast Quantum State Reconstruction via Accelerated Non-Convex Programming
Photonics, 2023 We propose a new quantum state reconstruction method that combines ideas from compressed sensing, non-convex optimization, and acceleration methods. The algorithm, called Momentum-Inspired Factored Gradient Descent (MiFGD), extends the applicability of ...
Junhyung Lyle Kim +4 more
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On the Energy Efficiency Maximization of NOMA-Aided Downlink Networks With Dynamic User Pairing
IEEE Access, 2022 This study investigates a combined system comprising non-orthogonal multiple access (NOMA) and beamforming in a downlink network. To fully exploit the advantages of NOMA, user (UE) pairing and beamforming design are jointly optimized via a generalized ...
Kha-Hung Nguyen +4 more
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A Global Optimization Algorithm for Generalized Quadratic Programming
Journal of Applied Mathematics, 2013 We present a global optimization algorithm for solving generalized quadratic programming (GQP), that is, nonconvex quadratic programming with nonconvex quadratic constraints.
Hongwei Jiao, Yongqiang Chen
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IEEE Access, 2021 In this article, a highly nonlinear trajectory optimization problem for reentry vehicles is rapidly solved by the proposed modified sequential convex programming (MSCP) method.
Pei Pei, Shipeng Fan, Wei Wang, Defu Lin
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