个人简历

工作经历
1987 年，南京大学数学系讲师。
1992 年，南京大学数学系副教授
1997 年，南京大学数学系教授
2013 年，南京大学工程管理学院教授
2015 年，南方科技大学数学系教授
学习经历
1963 年 ------ 1966 年， 江苏省南菁高级中学
1978 年 ------ 1982 年， 南京大学本科
1983 年 ------ 1986 年， 联邦德国 Wuerzburg 大学研究生

研究领域

最优化理论与方法，线性与非线性规划， 运筹学中的数学方法
变分不等式的投影收缩方法， 凸优化的分裂收缩算法

近期论文

B.S. He, F. Ma and X.M. Yuan, Convergence Study on the Symmetric Version of ADMM with Larger Step Sizes, SIAM J. Imaging Science 9:1467-1501, 2016.
B.S. He, H.K. Xu and X.M. Yuan, On the Proximal Jacobian Decomposition of ALM for Multiple-Block Separable Convex Minimization Problems and its Relationship to ADMM, J. Sci. Comput. 66 (2016) 1204-1217.
C.H. Chen, B.S. He, Y.Y. Ye and X. M. Yuan, The direct extension of ADMM for multi-block convex minimization problems is not necessary convergent, Mathematical Programming, 155 (2016) 57-79.
B.S. He and X.M. Yuan, On non-ergodic convergence rate of Douglas-Rachford alternating directions method of multipliers, Numerische Mathematik, 130: 567-577, 2015.
B.S. He and X.M. Yuan, Block-wiseAlternating Direction Method of Multipliers for Multiple-block Convex Programming and Beyond, SMAI J. Computational Mathematics 1 (2015) 145-174.
B.S. He, L.S. Hou, and X.M. Yuan, On Full Jacobian Decomposition of the Augmented Lagrangian Method for Separable Convex Programming, SIAM J. Optim., 25 (2015) 2274–2312.
B.S. He and X. M. Yuan, On the convergence rate of Douglas-Rachford operator splitting method, Mathematical Programming, 153 (2015) 715-722.
E.X. Fang, B.S. He, H. Liu and X. M. Yuan, Generalized alternating direction method of multipliers: new theoretical insights and applications, Mathematical Programming Computation, 7 (2015) 149-187.
B.S. He, M. Tao and X.M. Yuan, A splitting method for separable convex programming, IMA J. Numerical Analysis, 31: 394-426, 2015.
B. S. He, Y. F. You and X. M. Yuan, On the Convergence of Primal-Dual Hybrid Gradient Algorithm, SIAM. J. Imaging Science 7: 2526-2537, 2014.
B.S. He, H. Liu, Z.R. Wang and X. M. Yuan, A strictly Peaceman-Rachford splitting method for convex programming, SIAM J. Optim. 24: 1011-1040, 2014.
G.Y. Gu, B.S. He and X.M. Yuan, Customized proximal point algorithms for linearly constrained convex minimization and saddle-point problems: a unified approach, Comput. Optim. Appl., 59: 135-161, 2014.
X.J. Cai, G.Y. Gu and B.S. He, On the O(1/t) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators, Comput. Optim. Appl., 57: 339-363, 2014.
B.S. He, X.M. Yuan and W.X. Zhang, A customized proximal point algorithm for convex minimization with linear constraints, Comput. Optim. Appl., 56:559-572, 2013.
B.S. He and X.M. Yuan, Forward-backward-based descent methods for composite variational inequalities, Optimization Methods Softw. 28: 706-724, 2013.
X.J. Cai, G.Y. Gu, B.S. He and X.M. Yuan, A proximal point algorithms revisit on the alternating direction method of multipliers, Science China Mathematics, 56 : 2179-2186, 2013.
B.S. He, M. Tao and X.M. Yuan, Alternating Direction Method with Gaussian Back Substitution for Separable Convex Programming, SIAM J. Optim. 22: 313-340, 2012.
B.S. He and X.M. Yuan, On the $O(1/n)$ Convergence Rate of the Douglas-Rachford Alternating Direction Method，SIAM J. Numer. Anal. 50: 700-709, 2012.
B.S. He and X.M. Yuan, Convergence analysis of primal-dual algorithms for a saddle-point problem: From contraction perspective, SIAM J. Imag. Sci., 5,:119-149, 2012.
C.H. Chen, B.S. He, and X.M. Yuan, Matrix completion via alternating direction methods, IMA J. Numer. Anal., 32: 227-245, 2012.
B.S. He, L.Z. Liao, and X. Wang, Proximal-like contraction methods for monotone variational inequalities in a unified framework I: Effective quadruplet and primary methods, Comput. Optim. Appl., 51: 649-679, 2012
B.S. He, L.Z. Liao, and X. Wang, Proximal-like contraction methods for monotone variational inequalities in a unified framework II: General methods and numerical experiments, Comput. Optim. Appl. 51: 681-708, 2012
B.S. He, M.H. Xu, and X.M. Yuan, Solving large-scale least squares covariance matrix problem by alternating direction methods, SIAM J. Matrix Anal. Appl., 32 ,136-152, 2011.
B.S. He, L-Z Liao and S.L. Wang, Self-adaptive operator splitting methods for monotone variational inequalities, Numerische Mathematik, 94: 715-737, 2003
B.S. He, L-Z Liao, D.R. Han and H. Yang, A new inexact alternating directions method for monotone variational inequalities, Mathematical Programming, 92: 103-118, 2002
B.S He and L-Z Liao, Improvements of some projection methods for monotone nonlinear variational inequalities, J. Optimization Theory and Applications, 112: 111-128,2002