Shiwei Wang

Visiting Scholar at the Institute of Operations Research and Analytics (IORA), National University of Singapore.

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About Me

I am currently a Visiting Scholar at the Institute of Operations Research and Analytics (IORA), National University of Singapore, working with Prof. Kim-Chuan Toh. Before that, I was a Research Fellow at IORA from December 2023 to July 2025.

I received my Ph.D. from the Institute of Applied Mathematics, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences in 2023, under the supervision of Prof. Chao Ding. My thesis is titled "Perturbation analysis of composite matrix optimization and its applications". I received my B.S. in Information and Computing Science from Dalian University of Technology in 2018.

My research focuses on nonpolyhedral matrix optimization, including the variational properties of matrix optimization problems and efficient algorithms with convergence guarantees.

Contact

• Email: wangshiwei@amss.ac.cn

Research Interests

• Matrix optimization with applications
• Perturbation analysis
• Variational analysis
• Semidefinite programming

Education

• Ph.D. in Operational Research and Cybernetics, Institute of Applied Mathematics, Academy of Mathematics and Systems Science, University of Chinese Academy of Sciences, China, 2018-2023.
• B.S. in Information and Computing Science, Dalian University of Technology, China, 2014-2018.

Experience

• Visiting Scholar, Institute of Operations Research and Analytics (IORA), National University of Singapore, August 2025-present. Supervisor: Prof. Kim-Chuan Toh.
• Research Fellow, Institute of Operations Research and Analytics (IORA), National University of Singapore, December 2023-July 2025. Supervisor: Prof. Kim-Chuan Toh.

Journal Review

• SIAM Journal on Optimization
• Computational Optimization and Applications
• Set-Valued and Variational Analysis
• EURO Journal on Computational Optimization
• Journal of Applied Mathematics and Computing
• Asia-Pacific Journal of Operational Research

Publications

• Nachuan Xiao, Tianyun Tang, Shiwei Wang*, and Kim-Chuan Toh, An Exact Penalty Approach for Equality Constrained Optimization over a Convex Set, accepted by Mathematical Programming, 2026.
• Xiaoyin Hu, Kim-Chuan Toh, Shiwei Wang, and Nachuan Xiao*, A minimization approach for minimax optimization with coupled constraints, SIAM Journal on Optimization, 36, 811-840, 2026.
• Shiwei Wang, Chao Ding*, Yangjing Zhang, and Xinyuan Zhao, Strong Variational Sufficiency in Nonlinear Semidefinite Programming and its Implications, SIAM Journal on Optimization, 33, 2988-3011, 2023.
• Shiwei Wang* and Chao Ding, Local convergence analysis of augmented Lagrangian method for nonlinear SDP problems, Computational Optimization and Applications, 87, 39-81, 2024.

Preprints

• Chao Ding, Ebrahim Sarabi, Shiwei Wang*, Characterizations of Tilt-Stable Local Minimizers of a Class of Matrix Optimization Problems.
• Di Hou, Tianyun Tang, Kim-Chuan Toh, and Shiwei Wang*, On the efficient computation of proximal operators of affine-constrained nonconvex functions.
• Chao Ding, Ebrahim Sarabi, and Shiwei Wang*, Twice Epi-Differentiability of Spectral Functions and its applications.
• Nachuan Xiao, Shiwei Wang*, Tianyun Tang, and Kim-Chuan Toh, A Quadratically Convergent Alternating Projection Method for Nonconvex Sets.

* indicates corresponding author.

Presentations

• A Quadratically Convergent Alternating Projection Method for Nonconvex Sets, SIAM OP26, University of Edinburgh, Edinburgh, UK, June 2-5, 2026.
• Characterizations of Tilt-Stable Local Minimizers of a Class of Matrix Optimization Problems, ICCOPT 2025, University of Southern California, Los Angeles, USA, July 19-24, 2025.
• Strong Variational Sufficiency for Nonlinear Semidefinite Programming and its Implications, 13th SIAM Student Chapter at NUS, National University of Singapore, Singapore, May 28, 2024.
• Strong Variational Sufficiency for Nonlinear Semidefinite Programming and its Implications, Applied Math PhD Seminar, Fudan University, Shanghai, China, March 9, 2023.
• Strong Variational Sufficiency for Nonlinear Semidefinite Programming and its Implications, 2022 Workshop on Operational Research and Information, Beijing, China (virtual), November 30, 2022.
• Local convergence analysis of augmented Lagrangian method for nonlinear semidefinite programming, 2021 Workshop on Matrix Optimization, Shanghai, China (virtual), November 6-7, 2021.
• A note on variational analysis of nonsmooth composite matrix optimization problems, SIAM Annual Meeting OP21, Spokane, Washington, USA (virtual), July 20-23, 2021.
• A note on variational analysis of nonsmooth composite matrix optimization problems, 2020 Workshop on Matrix Optimization, Dalian, China, November 28-29, 2020.