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.DefengSun, 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,andJiaming 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,andXinyuan 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,andXin-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,andChao 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.
10.Zhuoxuan Jiang, Xinyuan Zhao,andChao Ding,A proximal DC approach for quadratic assignment problem, Computational Optimization and Applications, 2021, 78(3): 825-851.
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).
12.Defeng Sun, Kim-Chuan Toh, Yancheng Yuan,andXin-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 code
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.
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.
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.
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.
17.Xin-Yuan Zhao and Kim-Chuan Toh,Infeasible potential reduction algorithms for Semidefinite Programming, Pacific Journal of Optimization, 2012, 8(4): 725-753.
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.
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) 1737-1765.