Search Results - "quadratically constrained quadratic programming"
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On convex relaxations for quadratically constrained quadratic programming
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer-Verlag 01.12.2012Published in Mathematical programming (01.12.2012)“…We consider convex relaxations for the problem of minimizing a (possibly nonconvex) quadratic objective subject to linear…”
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Quadratically Constrained Quadratic-Programming Based Control of Legged Robots Subject to Nonlinear Friction Cone and Switching Constraints
ISSN: 1083-4435, 1941-014XPublished: New York IEEE 01.12.2017Published in IEEE/ASME transactions on mechatronics (01.12.2017)“…A hierarchical control architecture is presented for energy-efficient control of robots subject to variety of linear/nonlinear inequality constraints such as Coulomb friction cones, switching…”
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Subspace Clustering with Priors via Sparse Quadratically Constrained Quadratic Programming
ISSN: 1063-6919Published: IEEE 01.06.2016Published in 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (01.06.2016)“… Our main result shows that this problem can be formulated as a convex semi-definite optimization problem subject to an additional rank constrain that involves only a very small number of variables…”
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New Designs on MVDR Robust Adaptive Beamforming Based on Optimal Steering Vector Estimation
ISSN: 1053-587X, 1941-0476Published: New York IEEE 15.07.2019Published in IEEE transactions on signal processing (15.07.2019)“… Herein, in order to find the optimal steering vector, a beamformer output power maximization problem is formulated and solved subject to a double-sided norm perturbation constraint, a similarity…”
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On the Sequential Quadratically Constrained Quadratic Programming Methods
ISSN: 0364-765X, 1526-5471Published: Linthicum INFORMS 01.02.2004Published in Mathematics of operations research (01.02.2004)“…An iteration of the sequential quadratically constrained quadratic programming method (SQCQP…”
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A tight compact quadratically constrained convex relaxation of the Optimal Power Flow problem
ISSN: 0305-0548, 1873-765XPublished: Elsevier Ltd 01.06.2024Published in Computers & operations research (01.06.2024)“…In this paper, we consider the Optimal Power Flow (OPF) problem which consists in determining the power production at each bus of an electric network by…”
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Propagating Uncertainty in Power-System DAE Models With Semidefinite Programming
ISSN: 0885-8950, 1558-0679Published: New York IEEE 01.07.2017Published in IEEE transactions on power systems (01.07.2017)“…This paper outlines a convex-optimization-based method to estimate maximum and minimum bounds on states of differential algebraic equations (DAEs) that…”
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On the tightness of an SDP relaxation for homogeneous QCQP with three real or four complex homogeneous constraints
ISSN: 0025-5610, 1436-4646Published: Heidelberg Springer Nature B.V 01.05.2025Published in Mathematical programming (01.05.2025)“…In this paper, we consider the problem of minimizing a general homogeneous quadratic function, subject to three real or four complex homogeneous quadratic inequality or equality constraints…”
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SOCP reformulation for the generalized trust region subproblem via a canonical form of two symmetric matrices
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018Published in Mathematical programming (01.06.2018)“…We investigate in this paper the generalized trust region subproblem (GTRS) of minimizing a general quadratic objective function subject to a general quadratic inequality constraint…”
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An Optimal Full-Duplex AF Relay for Joint Analog and Digital Domain Self-Interference Cancellation
ISSN: 0090-6778, 1558-0857Published: New York IEEE 01.08.2014Published in IEEE transactions on communications (01.08.2014)“… Unlike previous approaches, a nonconvex quadratically constrained quadratic programming problem is formulated to find the optimal solution…”
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Reconfigurable Intelligent Surface-Assisted Multi-User Secrecy Transmission With Low-Resolution DACs
ISSN: 2473-2400, 2473-2400Published: Piscataway IEEE 01.09.2024Published in IEEE transactions on green communications and networking (01.09.2024)“… constrained quadratic programming subproblems. The optimum active beamforming is determined using a semi-definite relaxation method, and the a closed-form solution…”
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Strong duality in minimizing a quadratic form subject to two homogeneous quadratic inequalities over the unit sphere
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.01.2020Published in Journal of global optimization (01.01.2020)“…In this paper, we study the strong duality for an optimization problem to minimize a homogeneous quadratic function subject to two homogeneous quadratic constraints over the unit sphere, called Problem (P) in this paper. When a feasible (P…”
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Novel Reformulations and Relaxations for Quadratically Constrained Quadratic Programming
ISBN: 1369426054, 9781369426052Published: ProQuest Dissertations & Theses 01.01.2016“…Quadratically constrained quadratic programming (QCQP) has received increasing attention in recent years due to its elegance in formulation and wide applications…”
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Dissertation -
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Null broadening adaptive beamforming based on covariance matrix reconstruction and similarity constraint
ISSN: 1687-6180, 1687-6172, 1687-6180Published: Cham Springer International Publishing 03.01.2017Published in EURASIP journal on advances in signal processing (03.01.2017)“…) criterion subject to similarity constraint. Mathematically, the design original problem is expressed as a nonconvex fractional…”
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Strong Duality for the CDT Subproblem: A Necessary and Sufficient Condition
ISSN: 1052-6234, 1095-7189Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009Published in SIAM journal on optimization (01.01.2009)“…In this paper, we consider the problem of minimizing a nonconvex quadratic function, subject to two quadratic inequality constraints…”
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Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.02.2016Published in Journal of global optimization (01.02.2016)“… and generate a family of quadratic subproblems ( P μ ) ′ s subject to two quadratic constraints…”
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Semidefinite Relaxation for Two Mixed Binary Quadratically Constrained Quadratic Programs: Algorithms and Approximation Bounds
ISSN: 2194-668X, 2194-6698Published: Beijing Operations Research Society of China 01.06.2016Published in Journal of the Operations Research Society of China (Internet) (01.06.2016)“… in the real case and by 24 M π in the complex case. The second class of problems finds a series of minimum norm vectors subject to a set of quadratic constraints and cardinality constraints with both binary and continuous variables…”
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A quadratic semidefinite relaxation approach for resource allocation in orthogonal frequency division multiple access
ISSN: 0028-3045, 1097-0037Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.01.2012Published in Networks (01.01.2012)“…This paper proposes two binary quadratically constrained quadratic programs for minimizing power subject to bit rate and subcarrier allocation constraints over wireless orthogonal frequency division multiple access…”
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Null broadening adaptive beamforming based on semidefinite programming
ISBN: 9781509013449, 150901344XISSN: 2164-5221Published: IEEE 01.11.2016Published in International Conference on Signal Processing (Print) (01.11.2016)“…) subject to quadratic constraints. The design problem can be cast as a fractional quadratically constrained quadratic programming (QCQP…”
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Conference Proceeding -
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Secure Beamforming in Downlink MISO Nonorthogonal Multiple Access Systems
ISSN: 0018-9545, 1939-9359Published: New York IEEE 01.08.2017Published in IEEE transactions on vehicular technology (01.08.2017)“… at the base station and transmission rate requirements at cell-edge users. The problem is nonconvex because of coupling optimization variables in the considered fractional quadratically constrained quadratic programming…”
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