何炳生
基本简介
何炳生，男，1948年7月24日生，教授，博士生导师。1986年4月在联邦德国维尔茨堡大学应用数学系获博士学位。1990.09--1992.02，在联邦德国WUERZBURG大学进行学术访问。1995.04--1995.06，在荷兰DELFT大学进行学术访问。1998.06-1998.09，在香港科技大学进行学术访问。2000.01--2000.02，在香港浸会大学进行学术访问。2001.07--2001.08，在香港科技大学进行学术访问。2002.01--2002.02，在香港浸会大学进行学术访问。2002.11-2002.12，在新加坡国立大学进行学术访问。
研究方向：最优化理论和方法、数学规划中的数值方法、变分不等式理论、算法及其在经济管理中的应用。
发表论文
1. B.S. He, X. Wang and J.F. Yang, A comparison of different contraction methods for monotone variational inequalities. J. Comput. Math. 27 (2009), no. 4, 459--473.
2. B.S. He, X.L. Fu and Z.K. Jiang, Proximal-point algorithm using a linear proximal term. J. Optim. Theory Appl. 141 (2009), no. 2, 299--319.
3. B.S. He, X.Z. He, Henry X. Liu and T. Wu, Self-adaptive projection method for co-coercive variational inequalities. European J. Oper. Res. 196 (2009), no. 1, 43--48.
4. B.S. He, Parallel splitting augmented Lagrangian methods for monotone structured variational inequalities. Comput. Optim. Appl. 42 (2009), no. 2, 195--212.
5. B.S. He, M. Li and L.Z. Liao, An improved contraction method for structured monotone variational inequalities. Optimization 57 (2008), no. 5, 643--653.
6. B.S. He and M.H. Xu, A general framework of contraction methods for monotone variational inequalities. Pac. J. Optim. 4 (2008), no. 2, 195--212.
7. M. Li, H. Shao and B.S. He, An inexact logarithmic-quadratic proximal augmented Lagrangian method for a class of constrained variational inequalities. Math. Methods Oper. Res. 66 (2007), no. 2, 183--201.
8. M. Li and B.S. He, Prediction-correction alternating direction method for a class of constrained min-max problems. Front. Math. China 2 (2007), no. 1, 103--121.
9. Y. Xu, B.S. He and X.M. Yuan, A hybrid inexact logarithmic-quadratic proximal method for nonlinear complementarity problems, J. Math. Anal. Appl. 322 (2006), no. 1, 276--287.
10. 何炳生，邵虎，徐明华, 大桥流量分配调控中的隐式互补问题. 教育部科技发展中心: 中国科技论文在线优秀论文集， 第三辑 pp. 1-10. 2006
11. 何炳生，徐薇，杨海, 袁晓明， 经济平衡中的一类保护资源和保障供给问题. 教育部科技发展中心： 中国科技论文在线优秀论文集， 第三辑 pp. 11-19. 2006
12. B.S. He, Y. Xu and X.M. Yuan, A logarithmic-quadratic proximal prediction-correction method for structured monotone variational inequalities,〖Computational Optimization and Applications〗35: 19-46 (2006)
13. B.S. He, L.Z. Liao and M.J. Qian, Alternating projection based prediction-correction methods for structured variational inequalities,〖Journal of Computational Mathematics〗24(6): 693-710 (2006)
14. B.S. He, L.Z. Liao and X.M. Yuan, A LQP based interior prediction-correction method for nonlinear complementarity problems,〖Journal of Computational Mathematics〗24(1): 33-44 (2006)
15. Z.H. Yang and B.S. He, A Relaxed Approximate Proximal Algorithm,〖Annals of Operations Researches〗 195-205 (2005)
16. B.S. He and Y.M. Wang, Smoothing by convex quadratic programming,〖Journal of Computational Mathematics〗23: 211-216 (2005)
17. B.S. He, J.L. Jiang, M.J. Qian and Y. Xu, PPA based prediction-correction methods for monotone variational inequalities,〖Numerical Mathematics-A Journal of Chinese Universities, English Series〗14: 14-30 (2005)
18. B.S. He, Z.H. Yang and X. M. Yuan, Study on approximate proximal point algorithms for monotone variational inequalities,〖Journal of Mathematical Analysis and Applications〗300: 362-374 (2004)
19. B.S He, M.J. Qian and Y.M. Wang, An Approximate proximal-extragradient type method for monotone variational inequalities,〖Numerical Linear Algebra and Optimization〗 (Procedings of the 2003’ International Conference on Numerical Optimization and Numerical Linear Algebra, Edited by Yaxiang Yuan): 15-41 Science Press, Beijing/New York, 2004
20. B.S. He, H. Yang and C.S. Zhang, A modified augmented Lagrangian method for a class of monotone variational inequalities,〖European Journal of Operational Research〗159: 35-51 (2004)
21. B.S. He, X.M. Yuan and J.J.Z. Zhang, Comparison of two kinds of prediction-correction methods for monotone variational inequalities,〖Computational Optimization and Applications〗27: 247-267 (2004)
22. 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)
23. 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)
24. 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)
25. 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)
26. 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)
27. 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)
28. 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)
29. 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)
30. 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)
31. 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)
32. B.S. He, Solving trust region problem in large scale optimization, 〖Journal of Computational Mathematics〗18: 1-12 (2000)
33. B.S. He and J. Zhou, A modified alternating direction method for convex quadratic minimization problems, 〖Applied Mathematics Letters〗13: 123-130 (2000)
34. 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)
35. B.S. He, L. Liao and H. Yang, Decomposition method for a class of monotone variational inequality problems, 〖J. Optimization Theory and applications〗 103: 603—622 (1999)
36. B.S. He, Inexact implicit methods for monotone general variational inequalities, 〖Mathematical Programming〗86: 199-217 (1999)
37. B.S. He, A Goldstein‘s Type Projection Method for a Class of Variant Variational Inequalities, 〖Journal of Computational Mathematics〗17: 425-434 (1999)
38. 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)
39. Q.M. Han and B.S. He, A predict-correct method for a variant monotone variational inequality problems,〖Chinese Science Bulletin〗(1998)
40. B.S. He, A Class of implicit methods for monotone variational inequalities,〖Chinese J. Num. Math. & Appl.〗21: 1-8 (1999)
41. B.S. He, A Projective Method of the Approximate Center for Semidefinite Programming,〖Chinese J. Num. Math. & Appl.〗20: 34-46 (1999)
42. B.S. He, A class of projection and contraction methods for monotone variational inequalities, 〖Appl. Math. Optimization〗35: 69--76 (1997)
43. 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)
44. B.S. He, Solution and applications of a class of general linear variational inequalities, 〖Science in China, Series A〗 39: 395--404 (1996)
45. 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)
46. B.S. He, A modified projection and contraction method for a class of linear complementarity problems, 〖Journal of Computational Mathematics〗 14: 54--63 (1996)
47. B.S. He, A new method for a class of linear variational inequalities,〖Mathematical Programming〗 66: 137--144 (1994)
48. B.S. He, Solving a class of linear projection equations, 〖Numerische Mathematik〗 68: 71--80(1994)
49. B.S. He, New contraction methods for linear inequalities, 〖Linear Algebra and Its Applications〗 207: 115--133 (1994)
50. B.S. He, Further developments in an iterative projection and contraction method for linear programming, 〖Journal of Computational Mathematics〗 11: 350--364 (1993)
51. 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)
52. B.S. He and J. Stoer, Solution of projection problems over polytopes, 〖Numerische Mathematik〗 61: 73--90, (1992)
53. 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)
2010之后
1. B.S. He, M. Tao and X.M. Yuan, Alternating Direction Method with Gaussian Back Substitution for Separable Convex Programming, SIAM J. Optim. 22(2012), 313-340.
2. 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(2012), 700-709.
3. B.S. He and X.M.Yuan, Convergence analysis of primal-dual algorithms for a saddle-point problem: From contraction perspective. SIAM J. Imaging Science. 5(2012), 119-149.
4. C.H. Chen, B.S. He and X.M. Yuan, Matrix completion via alternating direction methods. IMA Journal of Numerical Analysis. 32(2012), 227-245.
5. B.S. He, L.Z. Liao and X. Wang, Proximal-like contraction methods for monotone variational inequalitiesin a unified framework I: Effective quadruplet and primary methods, Comput. Optim. Appl., 51(2012), 649-679.
6. 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(2012), 681-708.
7. B.S. He, M.H. Xu, and X.M. Yuan, Solving large-scale least squares semidefinite programming by alternating direction methods. SIAM J. Matrix Anal. Appl. 32(2011), 136-152.
8. B.S. He, W. Xu, Y. Hai, and X.M. Yuan, Solving over-production and supply-guarantee problems in economic equilibria. Netw. Spat. Econ. 11(2011), 127-138.
9. M. Tao, B.S. He, and X.M. Yuan, Solving a class of matrix minimization problems by linear variational inequality approaches. Linear Alge. Appl. 434(2011), 2343-2352.
10. B.S. He, Z. Peng, and X.F. Wang, Proximal alternating direction-based contraction methods for separable linearly constrained convex optimization. F. M. C. (6)2011, 79-114.
11. X. Wang, B.S. He, and L.Z. Liao, Steplengths in the extragradient type methods. J. of Comput. Appl. Math. 233 (2010), 2925-2939.
12. B.S. He, X.Z. He, and Henry X. Liu, Solving a class of constrained ‘black-box’ inverse variational inequalities. European J. Oper. Res. 204 (2010), 391-401.
13. X.L. Fu, and B.S. He, Self-adaptive projection-based prediction correction method for constrained variational inequalities. Front. Math. China. 5 (2010), no. 1, 3-21.
14. H. Yang, W. Xu, B.S. He, and Q. Meng, Road pricing for congestion control with unknown demand and cost functions. Trans. Res. Part C. 18 (2010), 157-175.
获奖情况
1.《求解单调变分不等式的投影收缩方法》获 2001 年江苏省科技进步一等奖
讲授课程
1.线性与非线性规划
2.广义规划与投影收缩算法
3.变分不等式与半定规划
4.凸分析与多面体理论
科研项目
1. 1993.7--1995.12，国家自然科学基金项目“线性与非线性规划中投影收缩算法及应用”
2. 1994.1--1996.12，国家教委博士点基金项目“线性与非线性规划中投影收缩算法及应用”
3. 1994.1--1996.12，江苏省自然科学基金项目“广义数学规划及其解法”
4. 1994.1--1996.12，国家自然科学基金项目“数学规划中的锥函数法和投影收缩算法”
5. 1997.1--1999.12，国家自然科学基金项目“变分不等式和半定规划的求解”
6. 1997.1--1999.12，留学回国人员基金项目“变分不等式与半定规划的理论与解法”
7. 2000.1--2002.12，国家自然科学基金项目“拟变分不等式的求解及分解算法”
8. 2000.1--2001.12，江苏省自然科学基金项目“非线性变分不等式与非线性规划”
9. 2002.7--2005.06，江苏省自然科学基金项目“变分不等式求解中的一些症结问题”
10.2003.1--2005.12，国家自然科学基金项目“变分不等式求解中的近似迭代方法”
11. 2003.1--2005.12，教育部博士点基金项目“变分不等式数值求解中的一些问题”
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