Exact SDP relaxations of quadratically constrained quadratic programs with forest structures
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DOI: 10.1007/s10898-021-01071-6
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- NESTEROV, Yu. & WOLKOWICZ, Henry & YE, Yinyu, 2000. "Semidefinite programming relaxations of nonconvex quadratic optimization," LIDAM Reprints CORE 1471, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Gábor Pataki, 1998. "On the Rank of Extreme Matrices in Semidefinite Programs and the Multiplicity of Optimal Eigenvalues," Mathematics of Operations Research, INFORMS, vol. 23(2), pages 339-358, May.
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Cited by:
- Yuzhou Qiu & E. Alper Yıldırım, 2024. "On exact and inexact RLT and SDP-RLT relaxations of quadratic programs with box constraints," Journal of Global Optimization, Springer, vol. 90(2), pages 293-322, October.
- Godai Azuma & Mituhiro Fukuda & Sunyoung Kim & Makoto Yamashita, 2023. "Exact SDP relaxations for quadratic programs with bipartite graph structures," Journal of Global Optimization, Springer, vol. 86(3), pages 671-691, July.
- Godai Azuma & Sunyoung Kim & Makoto Yamashita, 2025. "Rank-one matrix completion via high-rank matrices in sum-of-squares relaxations," Journal of Global Optimization, Springer, vol. 92(2), pages 321-343, June.
- Cheng Lu & Jitao Ma & Zhibin Deng & Wenxun Xing, 2024. "A graphic structure based branch-and-bound algorithm for complex quadratic optimization and applications to magnitude least-square problem," Journal of Global Optimization, Springer, vol. 88(1), pages 115-137, January.
- Bo Zhang & YueLin Gao & Xia Liu & XiaoLi Huang, 2023. "Outcome-space branch-and-bound outer approximation algorithm for a class of non-convex quadratic programming problems," Journal of Global Optimization, Springer, vol. 86(1), pages 61-92, May.
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Keywords
Quadratically constrained quadratic programs; Exact semidefinite relaxations; Forest graph; The rank of aggregated sparsity matrix;All these keywords.
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