本帖最后由 BJUTER 于 2026-6-16 11:51 编辑 * t) s/ j5 S2 m0 z
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0 h# e& B/ H- ?+ Q( S[1]Kaihuang Chen, Defeng Sun, Yancheng Yuan, Guojun Zhang, and Xinyuan Zhao, HPR-LP: An implementation of an HPR method for solving linear programming, arXiv:2408.12179 (August 2024). Mathematical Programming Computation (2025). HPR-LP code [2] Defeng Sun, Yancheng Yuan, Guojun Zhang, and Xinyuan Zhao, Accelerating preconditioned ADMM via degenerate proximal point mappings, SIAM Journal on Optimization, 35:2 (2025) 1165–1193. [3] Bo Yang，Xinyuan Zhao，and Jiaming Ma, A Halpern Fixed-Point Iteration-Based Approach to Harmonic Model Predictive Control Problem, Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 42(04), pages 1-29, August. [4] Bo Yang, Xinyuan Zhao, Xudong Li, and Defeng Sun, An accelerated proximal alternating direction method of multipliers for optimal decentralized control of uncertain systems, Journal of Optimization Theory and Applications，204，9 (2025). [5] Shiwei Wang, Chao Ding, Yangjing Zhang, and Xinyuan Zhao, Strong variational sufficiency for nonlinear semidefinite programming and its implications, SIAM Journal on Optimization, 33:4 (2023) 2988-3011. [6] Liang Chen, Junyuan Zhu, and Xinyuan Zhao, Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming, Science China Mathematics, 2022, 65: 2397—2422. [7] Ying Cui, Chao Ding, Xu-Dong Li, and Xin-Yuan Zhao, Augmented Lagrangian methods for convex matrix optimization problems, Journal of the Operations Research Society of China, DOI: 10.1007/s40305-021-00346-9, 2021. [8] Qian Zhang, Xinyuan Zhao, and Chao Ding, Matrix optimization based Euclidean embedding with outliers, Computational Optimization and Applications, 2021, 79(2): 235-271. [9] M.Y. Chen, K.X. Gao, X.L. Liu, Z.D. Wang, N.X. Ni, Q. Zhang, L. Chen, C. Ding, Z.H. Huang, M. Wang, S.L. Wang, F. Yu, X.Y. Zhao and D.C. Xu, THOR, Trace-Based Hardware-Driven Layer-Oriented Natural Gradient Descent Computation, Proceedings of the AAAI Conference on Artificial Intelligence, 2021, 35(8), 7046-7054. 4 g7 s+ J6 G" N. u
[10] Zhuoxuan Jiang, Xinyuan Zhao, and Chao Ding, A proximal DC approach for quadratic assignment problem, Computational Optimization and Applications, 2021, 78(3): 825-851.
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[11] Xin-Yuan Zhao and Liang Chen, The Linear and Asymptotically Superlinear Convergence Rates of the Augmented Lagrangian Method with a Practical Relative Error Criterion, Asia-Pacific Journal of Operational Research, 2020, 37(4), 2040001 (16 pages). U. ^7 G! N# h( Z
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[12] Defeng Sun, Kim-Chuan Toh, Yancheng Yuan, and Xin-Yuan Zhao, SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0), Optimization Methods and Software, 35 (2020), 87-115. arXiv:1710.10604. SDPNALplus code5 V3 k/ R2 G7 r# ^& |! T& l: ]
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[13] Ying Cui, Chao Ding, and Xinyuan Zhao, Quadratic growth conditions for convex matrix optimization problems associated with spectral functions, SIAM Journal on Optimization, 27:4 (2017) 2332-2355.% W% B) ^+ [+ r9 ~1 b* @$ J
" n8 h ]7 J. E2 m! y0 B# J& l' e' u[14] Bai Yan, Qi Zhao, Zhihai Wang and Xinyuan Zhao, A hybrid evolutionary algorithm for multi-objective sparse reconstruction, Signal, Image and Video Processing, 2017, 11(6): 993-1000.8 Y$ F4 p8 s7 j# m
- o5 n2 R+ w7 E[15] X. Y. Zhao, T. Cai, and D. Xu, A Newton-CG Augmented Lagrangian Method for Convex Quadratically Constrained Quadratic Semidefinite Programs, Proceedings in Mathematics & Statistics, 95(2015), pp 337-345.+ N1 Z8 O- D8 G5 \$ R6 E9 f
& V8 W6 n7 O/ h9 @[16] Chenchen Wu, Dachuan Xu, and Xinyuan Zhao, Improved approximation algorithm for the 2-catalog segmentation problems using semidefinite programming relaxations, Journal of Industrial and Management Optimization, 2012, 8(1): 117-126.
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9 H( G# D; m7 J. Y[17] Xin-Yuan Zhao and Kim-Chuan Toh, Infeasible potential reduction algorithms for Semidefinite Programming, Pacific Journal of Optimization, 2012, 8(4): 725-753.' X7 h3 f d' }( _
4 `; [: U. ^ @1 E: V I, Y[18] Xing Wang, Dachuan Xu, and Xinyuan Zhao, A primal-dual approximation algorithm for the stochastic facility location problem with service installation costs, Frontiers of Mathematics in China, 2011, 6(5): 957-964.& b; s' t2 @. H. M3 R2 @7 t6 U' C
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[19]Xin-Yuan Zhao, Defeng Sun, and Kim-Chuan Toh, A Newton-CG augmented Lagrangian method for semidefinite programming, SIAM Journal on Optimization, 20:4 (2010) 1737-17 |
发表于 2026-6-16 11:50:02
