Search Results - "quadratically constrained quadratic programming"

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  1. 1

    On convex relaxations for quadratically constrained quadratic programming by Anstreicher, Kurt M.

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer-Verlag 01.12.2012
    Published 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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    Journal Article Conference Proceeding
  2. 2

    Quadratically Constrained Quadratic-Programming Based Control of Legged Robots Subject to Nonlinear Friction Cone and Switching Constraints by Aghili, Farhad

    ISSN: 1083-4435, 1941-014X
    Published: New York IEEE 01.12.2017
    Published 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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    Journal Article
  3. 3

    Subspace Clustering with Priors via Sparse Quadratically Constrained Quadratic Programming by Yongfang Cheng, Yin Wang, Sznaier, Mario, Camps, Octavia

    ISSN: 1063-6919
    Published: IEEE 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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    Conference Proceeding
  4. 4

    New Designs on MVDR Robust Adaptive Beamforming Based on Optimal Steering Vector Estimation by Yongwei Huang, Mingkang Zhou, Vorobyov, Sergiy A.

    ISSN: 1053-587X, 1941-0476
    Published: New York IEEE 15.07.2019
    Published 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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    Journal Article
  5. 5

    On the Sequential Quadratically Constrained Quadratic Programming Methods by Solodov, M. V

    ISSN: 0364-765X, 1526-5471
    Published: Linthicum INFORMS 01.02.2004
    Published in Mathematics of operations research (01.02.2004)
    “…An iteration of the sequential quadratically constrained quadratic programming method (SQCQP…”
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    Journal Article
  6. 6

    A tight compact quadratically constrained convex relaxation of the Optimal Power Flow problem by Lambert, Amélie

    ISSN: 0305-0548, 1873-765X
    Published: Elsevier Ltd 01.06.2024
    Published 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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    Journal Article
  7. 7

    Propagating Uncertainty in Power-System DAE Models With Semidefinite Programming by Hyungjin Choi, Seiler, Peter J., Dhople, Sairaj V.

    ISSN: 0885-8950, 1558-0679
    Published: New York IEEE 01.07.2017
    Published 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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    Journal Article
  8. 8

    On the tightness of an SDP relaxation for homogeneous QCQP with three real or four complex homogeneous constraints by Ai, Wenbao, Liang, Wei, Yuan, Jianhua

    ISSN: 0025-5610, 1436-4646
    Published: Heidelberg Springer Nature B.V 01.05.2025
    Published 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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    Journal Article
  9. 9

    SOCP reformulation for the generalized trust region subproblem via a canonical form of two symmetric matrices by Jiang, Rujun, Li, Duan, Wu, Baiyi

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018
    Published 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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    Journal Article
  10. 10

    An Optimal Full-Duplex AF Relay for Joint Analog and Digital Domain Self-Interference Cancellation by Kang, Young Yun, Kwak, Byung-Jae, Cho, Joon Ho

    ISSN: 0090-6778, 1558-0857
    Published: New York IEEE 01.08.2014
    Published 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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    Journal Article
  11. 11

    Reconfigurable Intelligent Surface-Assisted Multi-User Secrecy Transmission With Low-Resolution DACs by Li, Kexin, Du, Huiqin, Li, Si

    ISSN: 2473-2400, 2473-2400
    Published: Piscataway IEEE 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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    Journal Article
  12. 12

    Strong duality in minimizing a quadratic form subject to two homogeneous quadratic inequalities over the unit sphere by Nguyen, Van-Bong, Nguyen, Thi Ngan, Sheu, Ruey-Lin

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.01.2020
    Published 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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    Journal Article
  13. 13

    Novel Reformulations and Relaxations for Quadratically Constrained Quadratic Programming by Jiang, Rujun

    ISBN: 1369426054, 9781369426052
    Published: 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
  14. 14

    Null broadening adaptive beamforming based on covariance matrix reconstruction and similarity constraint by Qian, Junhui, He, Zishu, Xie, Julan, Zhang, Yile

    ISSN: 1687-6180, 1687-6172, 1687-6180
    Published: Cham Springer International Publishing 03.01.2017
    “…) criterion subject to similarity constraint. Mathematically, the design original problem is expressed as a nonconvex fractional…”
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    Journal Article
  15. 15

    Strong Duality for the CDT Subproblem: A Necessary and Sufficient Condition by Ai, Wenbao, Zhang, Shuzhong

    ISSN: 1052-6234, 1095-7189
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009
    Published 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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    Journal Article
  16. 16

    Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming by Nguyen, Van-Bong, Sheu, Ruey-Lin, Xia, Yong

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.02.2016
    Published 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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    Journal Article
  17. 17

    Semidefinite Relaxation for Two Mixed Binary Quadratically Constrained Quadratic Programs: Algorithms and Approximation Bounds by Xu, Zi, Hong, Ming-Yi

    ISSN: 2194-668X, 2194-6698
    Published: Beijing Operations Research Society of China 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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    Journal Article
  18. 18

    A quadratic semidefinite relaxation approach for resource allocation in orthogonal frequency division multiple access by Adasme, Pablo, Lisser, Abdel, Soto, Ismael

    ISSN: 0028-3045, 1097-0037
    Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.01.2012
    Published 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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    Journal Article
  19. 19

    Null broadening adaptive beamforming based on semidefinite programming by Junhui Qian, Zishu He, Yile Zhang, Bo Wu

    ISBN: 9781509013449, 150901344X
    ISSN: 2164-5221
    Published: IEEE 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
  20. 20

    Secure Beamforming in Downlink MISO Nonorthogonal Multiple Access Systems by Li, Yiqing, Jiang, Miao, Zhang, Qi, Li, Quanzhong, Qin, Jiayin

    ISSN: 0018-9545, 1939-9359
    Published: New York IEEE 01.08.2017
    Published 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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    Journal Article