Preprints

• Inexact Linearized Augmented Lagrangian Method for Large-Scale Robust Optimization
  Jingru Yang, Shiqi Cao, Kai Tu, Jian Lu. Submitted, 2026.

• A double iteratively reweighted algorithm for solving group sparse nonconvex optimization models
  Wanqin Nie, Kai Tu, Minglu Ye, Shuqin Sun. Submitted, 2025.

• A Max-Min-Max Algorithm for Large-Scale Robust Optimization
  Kai Tu, Zhi Chen, Man-Chung Yue, Submitted, 2024.

Journals

• 一类分布式鲁棒指数追踪模型及算法. 雷郑波， 涂凯，张永乐，高欢. 运筹学学报（中英文), 2025年接受发表.

• An improved random projection type algorithm for the multiple-sets split feasibility problem .
  Wen-Jing Chao, Fu-quan Xia, Kai Tu and Jian Lu. Journal of Computational and Applied Mathematics, Volume 463, 1 August 2025, 116487.

• Variance Reduced Random Relaxed Projection Method for Constrained Finite-sum Minimization Problems.
  Zhichun Yang, Fu-quan Xia, Kai Tu and Man-Chung Yue. IEEE Transactions on Signal Processing, 2024, 72:2188-2203.

• Fixed-Point Convergence of Multi-Block PnP ADMM and Its Application to Hyperspectral Image Restoration.
  Weijie Liang, Zhihui Tu, Jian Lu, Kai Tu, Michael K. Ng, Chen Xu. IEEE Transactions on Computational Imaging, 2024, 10: 1571-1587.

• Convergence analysis of the DFP algorithm for unconstrained optimization problems on Riemannian manifolds.
  Xiaobo Li, Kai Tu and Jian Lu. Optimization Letters, 2024, https:doi.org10.1007s11590-024-02103-2

• The generalized conditional gradient method for composite multiobjective optimization problems on Riemannian manifolds.
  Xiaobo Li, Xiaochun Ge and Kai Tu. Journal of Nonlinear and Variational Analysis, 2023, 7(5):839-857.

• Nonlocal Low Rank Regularization Method for Fractal Image Coding under Salt-and-Pepper Noise.
  Huan Pan, Zhengyu Liang, Jian Lu, Kai Tu and Ning Xie. Fractals, 2023, 31(7), 16 pages.

• Variance reduced moving balls approximation method for smooth constrained minimization problems
  Zhichun Yang, Fu-quan Xỉa and Kai Tu. Optimization Letters, 2023, https:doi.org10.1007s11590-023-02049-x

• Inertial-type incremental constraint projection method for solving variational inequalities without Lipschitz continuity.
  Wanyu Wang, Fu-quan Xia and Kai Tu. Numerical Algorithms, 2022, 89: 1769–1798.

• A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems.
  Kai Tu, Haibin Zhang, Huan Gao and Junkai Feng. Journal of Global Optimization, 2020, 76: 665-693.

• A new alternating projection-based prediction–correction method for structured variational inequalities.
  Kai Tu, Haibin Zhang and Fu-quan Xia. Optimization Methods and Software, 2020, 76: 665-693.

• Stochastic proximal difference-of-convex algorithm with SPIDER for a class of nonconvex nonsmooth regularized problems.
  Kai Tu, Haibin Zhang and Huan Gao. Journal of Nonlinear and Convex Analysis, 2020, 1191-1208.

• Optimality analysis on partial L1-minimization recovery.
  Huan Gao, Haibin Zhang, Zhibao Li and Kai Tu. Journal of Global Optimization, 2019, 34: 707-730.

• An iterative algorithm for solving generalized variational inequality problems and fixed point problems.
  Kai Tu, Fu-quan Xia and Jen-Chih Yao. Applicable Analysis, 2016, 95: 209-225.

• A projection-type algorithm for solving generalized mixed variational inequalities.
  Kai Tu and Fu-quan Xia. Acta Mathematica Scientia, 2016, 36: 1919-1630.