Professor Bingsheng He

Office:  Room 103,

Department of Mathematics, Nanjing University,  Nanjing, 210093, P. R. China

Phone: +86 25 3593362,        E-mail: hebma@nju.edu.cn

Current Research Areas:

Mathematical Programming,  Numerical Optimization

Education:

 PhD in Applied Mathematics, The University of Wuerzburg, Germany, 1986. 

 Thesis Advisor: Professor Dr. Josef Stoer

BSc in Computational Mathematics, Nanjing University, 1981

Work:

1997-     Professor, Nanjing University

1992-  1997, Associate Professor, Nanjing University

Selected Publications:

1.          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                                  

2.          B.S. He, S.L. Wang and H. Yang，A modifiedvariable-penalty alternating directions method for monotone variational inequalities,〖 J. Computational Mathematics〗 21: 495-504, 2003  

3.          B.S. He, L. Z. Liao and Z.H. Yang,  A new approximate proximal point algorithm for maximal monotone operator, 〖Science in China, Series A〗 46:200-206, 2003                                      

4.          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           

5.          B.S. He, H. Yang, Q. Meng and D.R. Han, Modified Goldstein-Levitin-Polyak projection method for asymmetric strongly monotone variational inequalities, 〖Journal of Optimization Theory and Applications〗 112: 129-143 (2002)                                                                                          

6.           B.S He and L-Z Liao, Improvements of some projection methods for monotone nonlinear variational inequalities,〖Journal of Optimization Theory and Applications〗 112: 111-128, (2002)                                                                                                                                          

7.          D.R. Han and B.S. He, A new accuracy criterion for approximate proximal point algorithms, 〖J. Mathematical Analysis and Applications〗263: 343-354, (2001)                                             

8.          S.L. Wang, H. Yang and B.S. He, Solving a class of asymmetric variational inequalities by a new alternating direction method, 〖Computer and Mathematics with Applications〗 40: 927-937 (2000)                                                                                                                                           

9.          B.S. He, H. Yang and S.L. Wang, Alternating directions method with self-adaptive penalty parameters for monotone variational inequalities, 〖Journal of Optimization Theory and applications〗 106: 349-368 (2000)                                                                                            

10.       B.S. He and H. Yang, A neural network model for monotone asymmetric linear variational inequalities, 〖IEEE Transactions on Neural Networks〗11: 3-1(2000)                                   

11.       B.S. He, Solving  trust region problem in large scale optimization, 〖Journal of Computational Mathematics〗18: 1-12 (2000)                                                                                               

12.       B.S. He and J. Zhou, A modified alternating direction method for convex quadratic minimization problems, 〖Applied Mathematics Letters〗13: 123-130 (2000)                                              

13.       Y. Cui and B.S. He, A class of projection and contraction methods for asymmetric linear variational inequalities and their relations to Fukushima's descent method, 〖Computer and Mathematics with Applications〗38: 151-164 (1999)                                                                

14.       B.S. He, L. Liao and H. Yang, A decomposition method for a class of monotone variational inequality problems, 〖J. Optimization Theory and applications〗 103: 603—622 (1999)      

15.       B.S. He, Inexact implicit methods for monotone general variational inequalities, 〖Mathematical Programming〗86: 199-217 (1999).                                                                                           

16.       B.S. He, A Goldstein's Type Projection Method for a Class of Variant Variational Inequalities, 〖Journal of Computational Mathematics〗17: 425-434  (1999)                                          

17.       B.S. He and H. Yang, Some convergence properties of a method of multipliers for linearly constrained monotone variational inequalities, 〖Operations Research Letters〗23: 151-161 (1998).                                                                                                                                 

18.       Q.M. Han and B.S. He, A predict-correct method for a variant monotone variational inequality problems,〖Chinese Science Bulletin〗（1998）                                                                     

19.       B.S. He, A Class of implicit methods for monotone variational inequalities. 〖Chinese J. Num. Math. & Appl.〗21: 1-8 (1999)

20.       B.S. He, A Projective Method of the Approximate Center for Semidefinite Programming.〖Chinese J. Num. Math. & Appl.〗20: 34-46 (1999)

21.       B.S. He, A class of projection and contraction methods for monotone variational inequalities, 〖Appl. Math.  Optimization〗35: 69--76 (1997)                                                                      

22.       B.S. He, E. de Klerk, C. Roos and T. Terlaky, Methods of approximate centers for semi-definite programming, 〖Optimization Methods and Software〗 7: 291—309 (1997)                      

23.       B.S. He, Solution and applications of a class of general linear variational inequalities, 〖Science in China, Series A〗 39: 395--404 (1996)                                                                                   

24.       何炳生， 论求解变分不等式的一些投影收缩算法， 〖计算数学〗18: 54--60 (1996)

25.       B.S. He, A modified projection and contraction method for a class of linear complementarity problems,  〖Journal of Computational Mathematics〗 14: 54--63 (1996)                            

26.       B.S. He, A new method for a class of linear variational inequalities,〖Mathematical Programming〗 66: 137--144 (1994)                                                                                         

27.       B.S. He, Solving a class of linear projection equations, 〖Numerische Mathematik〗 68: 71--80(1994)                                                                                                                                      

28.       B.S. He, New contraction methods for linear inequalities, 〖Linear Algebra and Its Applications〗 207: 115--133 (1994)                                                                                         

29.       B.S. He, Further developments in an iterative projection and contraction method for linear programming, 〖Journal of Computational Mathematics〗 11: 350--364 (1993)                 

30.       B.S. He, On a Class of Iterative Projection and Contraction Methods for Linear Programming, 〖Journal of Optimization Theory and Applications〗 78: 247--266 (1993)                             

31.       B.S. He and J. Stoer, Solution of projection problems over polytopes, 〖Numerische Mathematik〗 61: 73--90, (1992)                                                                                               

32.       B.S. He, A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming, 〖Applied Mathematics and Optimization〗25: 247--262, (1992)