导师信息
姓名 张立卫
院系 数学科学学院
办公电话 86-411-84708351-8118
电子信箱 lwzhang@dlut.edu.cn
更新时间 2010-7-14
工作经历:
博士, 计算数学, 大连理工大学应用数学系,1994.3-1998.7
硕士, 运筹学与控制论, 大连理工大学应用数学系, 1989.9-1992.7
学士, 大连理工大学应用数学系, 1985.9-1989.7
2010.5-2010.7 Visiiting Senior Research Fellow
Department of Mathematics
NUS, Singapore
2009.9-2009.12 Visiting Professor
Department of IELM
The Hong Kong University of Sciences and Technology
2008.10-2008.12 Visiting Professor
Department of IELM
The Hong Kong University of Sciences and Technology
2007.2-2007.4 Visiting Scholar,
Department of System Engineering and Engineering
Management, The Chinese University of Hong Kong,
Hong Kong
2006.2-2006.5 Research Fellow
Department of Mathematics
City Univerity of Hong Kong
2005.7-2005.10 Research Fellow
Department of Decision Sciences, School of Business
National University of Singapore
2005.4- 现在, 金融数学与保险精算专业博士生导师
2005.1-2005.2, Visiting Scholar,
Department of Applied Mathematics,
The Hong Kong Polytechnic University
2002.6- 现在, 运筹学与控制论专业博士生导师
2001.10--2003.12, Research Fellow,
Optimization Advisor of
"High Capacity Terminal Simulation System
for Mega Container Vessel"
CAIS, School of Computer Engineering,
Nanyang Technological University, Singapore
2001.4-2001.7, Visiting Scholar,
Department of System Engineering and Engineering
Management, The Chinese University of Hong Kong,
Hong Kong
1999.9-2001.9, 博士后, 中国科学院计算数学与科学计算研究所
1999.8--, 教授, 大连理工大学应用数学系
1999.1-1999.3, Visiting Scholar, Dipt. di Matematica,
Statistica, Informatica ed Applicazioni, Universita
degli Studi di Bergamo, Italia/Italy
1995.1-1996.1, Visiting Scholar, Dipt. di Matematica,
Statistica, Informatica ed Applicazioni, Universita
degli Studi di Bergamo, Italia/Italy
(CNR青年数学家基金)
1994.12-1999.8, 副教授,大连理工大学应用数学系
1992.7-1994.12, 助教, 大连理工大学应用数学系
社会兼职:
中国运筹学会常务理事
中国运筹学会数学规划研究会常务理事
《运筹学学报》编委
研究领域(研究课题) :
非线性规划
(Nonlinear Programming)
变分分析与优化
(Variational Analysis and Optimization)
硕博研究方向:
1. 非线性规划
(Nonlinear Programming)
2. 非凸锥约束最优化
(Nonconvex Cone Constrained Optimization)
3. 非光滑优化
(Nonsmooth Optimization)
4. 随机优化
(Stochastic Optimization)
出版著作和论文:
论著目录(1995--)
书
1. 张立卫,夏尊铨,冯恩民,优化中的ABS方法引论,大连理工大学教授学术丛
书'98卷,大连理工大学出版社,1999.
2. 张立卫译,"J. F. Bonnans, A. Shapiro著,最优化问题的扰动分析",科学出
版社,2008.
3. 张立卫,锥约束优化--最优性理论与增广Lagrange方法,科学出版社,2010.
4. Zhang Liwei, CHAPTER II. THEORETICAL FOUNDATION, in "Hsu Wen Jing
and Huang Shell Ying, Anatomy of HCTC: A High-capacity Container
Terminal System for Mega Vessels, Singapore
University Press (Pte) Ltd., 2006",23-172.
CHAPTER II. THEORETICAL FOUNDATION
Zhang Liwei
1. An Overview of Optimization Models for certain Decision Problems at
Container Terminals, 25-37
2. An Optimization Model for Berth Planning Problem and its Smooth and
Non-smooth Reformulations,38-57
3. A Scheduling Model for AGV at the Container Terminal,58-71
4. Mathematical Models of Storage Allocation and Retrieval Sequencing
in Container Yards,72-105
5. Mixed Integer Programming Models for Dispatching Vehicles at a
Container Terminal,106-133
6. Study on a Mathematical Programming Model for Dispatching Vehicles
at a Container Terminal,134-151
7. Dispatching Quay Cranes and Vehicles in a Container Terminal with
Buffer Stations in the Quay Side,152-172
论文
1. H.W. Tang and L.W.Zhang, A maximum entropy algorithm for convex
programming, Chinese Science Bulletin, 40:5(1995),361-364.
2. H.W. Tang and L.W.Zhang, A maximum entropy method for linear
programming, Chinese J. Num. Math. Appli., 17:3(1995),54-65.
(唐焕文,张立卫,线性规划的极大熵方法,计算数学, 2 (1995),160-172.)
3. 唐焕文,王云诚,张立卫, 求解一般约束极大极小问题的一个有效的近似
算法, 经济数学, 12:1,6-16.
4. 王云诚,张立卫,唐焕文, 求解一般约束凸规划的极大熵方法,大连理工大学学
报, 35:6(1995),764-769.
5. H.W. Tang and L.W.Zhang, Maximum entropy methods for constrained
optimization and minimax problems, Systems Sci. Math. Sci., 9:1
(1996),1-4.
6. 王云诚,唐焕文,张立卫, 求解一半无限极大极小问题的一个极大熵方法,经
济数学, 13:2(1996),37-43.
7. 唐焕文,王雪华, 张立卫, 求解极大极小问题的极大熵方法的收敛性, 运筹
学杂志, 14:1(1996),57-59.
8. L.W. Zhang, On the ABS algorithm with singular matrix and its
applications to linear programming, Optimization Methods and
Software, 8(1997),143-165.
9. Z.H. Xia and L.W. Zhang, A simplified trust region method
with projection and convergence, P.U.M.A., 8:2-3-4(1997),385-394.
10. L.W. Zhang and H.W. Tang, A maximum entropy algorithm with
parameters for solving minimax problem, Archives of Control
Sciences, XLII:6(1997),47-59.
11. E. Spedicato, Z.Q. Xia and L.W. Zhang, The implicit LX method of
the ABS class, Optimization Methods and Software, 8(1997),99-110.
12. X.Z. Chen and L.W.Zhang, ABS factorization algorithms in the
simplex method, J. Applied Basic and Engineering Sciences, 5:4
(1997),354-362.
13. E. Spedicato, Z.Q. Xia, L.W. Zhang and K. Mirnia, ABS algorithms
for linear equations and applications to optimization, in G.Winter
Althaus & E. Spedicato (eds.), Algorithms for Large Scale Linear
Algebraic Systems, Series C: Mathematical and PhysicalSciences -
508, 1998, Kluwer Academic Publishers, 291-319.
14. L.W. Zhang and H.W. Tang,A further study on a penalty function of
Bertsekas, in: Yuan Ya-Xiang ed., Advances in Nonlinear Programming,
Kluwer Academic Publishers, 1998,345-351.
15. 张立卫, 唐焕文, A theorem on the differential of the K-S
function, 经济数学, 15:1/2(1998),41-44.
16. 张立卫, Condition on parameter $\beta_k$ in a convergent conjugate
gradient method,运筹学学报, 3:2 (1999),71-81.
17. L.W.Zhang, A modified version to the differential system of
Evtushenko and Zhadan for solving nonlinear programming, in:
Yuan Ya-Xiang ed., Numerical Linear Algebra and Optimization,
Science Press, Beijing, New York,1999,161--
168 .
18. 郭崇惠,唐焕文,张立卫, Global convergence for a class of conjugate
gradient methods, 运筹学学报, 3:2(1999), 46-48.
19. S.X. He and L.W.Zhang, Convergence of a dual algorithm for minimax
problems, Archives of Control Sciences, 10(XLVI)(2000),47--60.
20. 张立卫,李勤,张鑫, Two differential systems for solving nonlinear
programming problems, 运筹学学报,4:4(2000),33-46.
21. L.W.Zhang and S.X. He, The convergence of a dual algorithm for
nonlinear programming, Korean J. Comput. & Appl.Math. 7:3(2000),
487--506.
22. E. Spedicato, Z.Q.Xia and L.W. Zhang, ABS algorithms for linear
equations and optimization, J. Computational and Applied
Mathematics, 124(2000),155-170.
23. 王明征,张立卫,夏尊铨, Dennis-Wolkowicz最小改变割算法的超线性收敛性,
大连理工大学学报, 11(2000),645—648.
24. 夏尊铨,张士霞,张立卫, 复ABS方法. 大连理工大学学报, 11(2000),645--
648.
25. L.W. Zhang and Z.Q. Xia, Newton-type methods for
quasidifferentiable equations, Journal of Optimization Theory and
Applications, 108:2 (2001), 439--456.
26. L.W.Zhang and Z.Q. Xia, Approximations to convex-valued
multifunctions. in: Demayano V. and Rubinov A. eds.,
Quasidifferentiability and Related Topics, Kluwer Academic
Publishers, 2000.
27. Y. Gao, Z.Q. Xia and L.W.Zhang, Kernelled quasidifferential for a
quasidifferentiable function in two-dimensional space, Journal of
Convex Analysis,8:2(2001),401-408.
28. 贺素香,张立卫, A class of constructive dual algorithms for
solving nonlinear programming problems, 运筹学学报,5:3(2001),41-50.
29. 贺素香,张立卫, 求解约束优化问题的对偶算法, 计算数学, 23:3
(2001),307-320.
30. L.W. Zhang, Computing inertias of KKT matrix and reduced Hessian
via the ABS algorithm, Ricerca Operativa, Vol. 31, n.98-99-100
(2001),67--86.
31. L.W. Zhang, Y.J. Liu and Z.Q. Xia, Application of the ABS method
to systems of linear matrix integer equations, Ricerca Operativa,
Vol. 31, n.98-99-100 (2001),52--66.
32. Z.Q. Xia and L.W. Zhang, ABS algorithms for solving linearly
constrained optimization problems via the active set strategy,
Ricerca Operativa, Vol. 31, n.98-99-100(2001),21--49.
33. 张立卫, 张鑫,求解拟可微方程组的非精确牛顿法,经济数学,18:1(2001),
74-81.
34. L.W.Zhang,Z. Q. Xia, Y. Gao and M.Z. Wang, Star-kernels and
star-differentials in quasidifferentiable analysis, Journal of
Convex Analysis,9:1(2002),139--158.
35. J. Sun and L.W.Zhang, On the log-exponential trajectory of linear
programming. Journal of Global Optimization, 25:1 (2003), 75--90.
36. 张宏伟,张立卫夏尊铨, Calculus of generalized quasi-differentiable
functions I: some results on the space of pairs of convex-set
collections, 东北数学, 19:1(2003),75-85.
37. Z.Q. Xia, M.Z. Wang and L.W.Zhang, Directional derivative of a
class of set-valued mappings and its applications, Journal of
Convex Analysis, 10:1(2003), 211-227.
38. L.P.Pang, Z.Q.Xia and L.W.Zhang, On a second order parallel
variable transformation approach, Journal of Applied Mathematics
and Computing, 11:1-2, 201-214.
39. L.P.Pang, Z.Q.Xia and L.W.Zhang, A PVT-type algorithm for
minimizing a nonsmooth convex function, Serdica Math. J. 29
(2003), 11-32.
40. L.W.Zhang and Y.J. Liu, Convergence analysis of a nonlinear
Lagrange algorithm for nonlinear programming with
inequality constraints,Journal of Applied Mathematics & Computing,
13:1-2(2003):1-10.
41. L.W. Zhang and W.-J. Hsu, A scheduling model for AGVs at the
container terminal, 2002 Japan-USA Symposium of Flexible
Automation, Hiroshima, Japan, July 14-19, 2002.
42. L.W, Zhang, R. Ye, W.-J. Hsu and S.-Y. Huang, Two equivalent
integer programming models for dispatching vehicles at a container
terminal, Proceedings International Conference on PORT and
Maritime R&D and Technology, 10-12 September, Singapore, 2003,
Vol.1, 35-42.
43. 王明征,夏尊铨, 张立卫, 参数凸二次规划的线性稳定性,7:1运筹学学报
(2003),11-18.
44. 贺素香,张立卫,李兴斯,不等式约束优化问题的一个势函数,33:3数学进展
(2004),343-350.
45. 宋秋生,张立卫,无约束拟可微优化问题信赖域方法的全局收敛性, 应用数学
学报, 27:1(2004), 186-189.
46. G.H. Lin, L. W. Zhang and L.P. Pang, Two projection-type
algorithms for solving pseudo-monotone variational inequality
problems, OR Transactions, 9:1 (2005),58-64.
47. H.X. Yu and L.W. Zhang, The augmented Lagrangian method for the
packing of unequal circles within a strip, International Journal
of Pure and Applied Mathematics, 18:4(2005), 463-470.
48. L. W. Zhang, R. Ye, S.Y. Huang and W. J. Hsu, Mixed Integer
Programming Models for Dispatching vehicles at a Container
Terminal, Journal of Applied Mathematics & Computing, 17:1-2
(2005),145-170.
49. J. Sun, L.W. Zhang and Y. Wu, Properties of the augmented
Lagrangian in nonlinear semidefinite optimization, Journal of
Optimization Theory and Applications, 129:3(2006), 437-456.
50. L.M. Zhou and L.W. Zhang, A differential equation approach to
finding a Kuhn-Tucker point of a nonlinear programming problem,
大连理工大学学报, 2005, Vol.45,No.6,920-924.
51. Z.Q. Xia, C.L. Song and L.W. Zhang, On Fritz John and KKT
necessary conditions of constrained quasidifferentiable
optimization, International Journal of Pure and Applied
Mathematics, Vol. 23 No. 3, 2005, 299-310.
52. L.M. Zhou, L.W. Zhang and S.X. He, A differential equation approach
to solving nonlinear complementarity problems, OR Transactions,
Vol. 9 No.3, 2005,8-16.53
53. 张宏伟, 张立卫, 夏尊铨,宋春玲 不等式约束的广义拟可微优化问题最
优性条件,大连理工大学学报,46卷2期,2006, 299-301.
54.贺素香,张立卫,非线性约束优化问题的一个修正Lagrangian算法,数学物理学
报,26卷1期,2006, 49-62.
55. H.X. Yu and L.W. Zhang, An optimization model for the two-
dimensional packing problem and its augmented Lagrangian method,
International Journal of Pure and Applied Mathematics, Vol. 27
No.1,2006, 1-10.
56.刘勇进,张立卫,二阶锥互补问题的一类效益函数与全局误差界,大连理工大学
学报,vol.46,No.3 (2006),449-453.
57. Y.J. Liu, L.W.Zhang and Y.H. Wang,Some properties of a class of
merit functions for symmetric cone complementarity problems,
Asia-Pacific Journal of Operational Research, Vol.23,No.4(2006),
473-495.
58. Y.J. Liu, L.W. Zhang and Y.H. Wang, Analysis of a smoothing method
for symmetric conic linear programming, Journal of Applied
mathematics & Computing, 22:1-2(2006), 133-148.
59. Yong-Jin Liu, Li-Wei Zhang, Convergence analysis of the
augmented Lagrangian method for nonlinear second-order cone
optimization problems, Nonlinear Analysis,67(2007),1359-1373.
60. Yong-Jin Liu, Li-Wei Zhang, On the approximate augmented
Lagrangian for nonlinear symmetric cone programming, Nonlinear
Analysis,68(2008),1210-1225.
61. Chun-Ling Song, Zun-Quan Xia and Li-Wei Zhang, A not on the upper
semi-continuity of Demyanov sum of quasidifferential mappings,
OR Tansactions, 11:1(2007), 33-38.
62. L. Jin and L. W. Zhang, Two differential equation systems for
inequality constrained optimization, Applied
Mathematics and Computation,188(2007)1334-1343.
63. 金丽, 张立卫, 肖现涛,一个求解约束非线性优化问题的微分方程方法, 计
算数学,29:2(2007),163-176.
64. 金丽, 张立卫, 肖现涛, 求解约束优化问题的两个微分方程算法,
运筹学学报,11:2(2007),73-82.
65. L. Jin, Liwei Zhang, A differential system for nonlinear
programming problems, The 6th World Congress on Intelligent
Control and Automation, Dalian, China, June 2006, 12(2):1030-
1033.
66. L.M. Zhou, Y. Wu, L.W. Zhang and G. Zhang, Convergence analysis of
a differential equation approach for solving nonblinear programming
problems, Applied Mathematics and Computation, 184(2007)789-797.
67. L. Jin, L. W. Zhang and X. T. Xiao. Stable differential equation
methods in inequality constrained optimization, to appear in
International Journal of Pure and Applied Mathematics.
68. Y. Li, L. Jin, L. W. Zhang, A novel neural network for linear
complementarity problems, Journal of Mathematical
Research and Exposition,27:3(2007),539-646 .
69. Y.H. Ren and L. W. Zhang, A Nonlinear Lagrangian Based on Fischer-
Burmeister NCP Function, Applied Mathematics and Computation,188
(2007)1344-1363.
70. D.F. Sun,J.Sun, L.W.Zhang, The rate of convergence of
the augmented Lagrangian method for nonlinear semidefinite
programming,Mathematical Programming 114 (2008), 349-391.
71. L.Jin and L. W. Zhang, Two differential equation systems for
equality constrained optimization, Applied
Mathematics and Computation,190:2(2007),1030-1039.
72.Y.J. Liu, L.W. Zhang, On the convergence of the augmented
Lagrangian method for nonlinear optimization problems over
second-order cones, to appear in Journal of Optimization Theory and
Applications,(2008) 139: 557–575.
73. Y.J. Liu, L.W. Zhang and M.J. Liu, Extension of smoothing
functions to symmetric cone complementarity problems,
高校应用数学学报B, Vol.22 No.2 (2007), 245-252.
74. Shaoyan Sun, Liwei Zhang, Chonghui Guo. MI-based image
registration using a new histogram estimation scheme.
International Journal of Pure and Applied Mathematics, Vol.37
No1 (2007), 19-28.
75. Shaoyan Sun, Liwei Zhang, Chonghui Guo. Medical image registration
by minimizing divergence measure based on Tsallis entropy.
International Journal of Biomedical Sciences, 2007, 2(2), 75-80.
76. Y.J. Liu, L.W. Zhang and M.J. Liu, Convergence analysis of a
nonlinear Lagrange algorithm for nonconvex semidefinite
programming, OR Transactions, Vol.11 No.4 (2007),5-14.
77.H.W.Zhang,L.W.Zhang and Z.Q. Xia, Differentials of generalized
quasi-differentiable functions, OR Transactions, 11:2(2007),17-30.
78. L.W. Zhang and X.Q. Yang, An augmented Lagrangian approach with a
variable transformation in nonlinear programming, Nonlinear
Analysis,69(2008),2095-2113.
79. C.L. Song, Z.Q. Xia and L.W. Zhang, A note on the upper semi-
continuity of Demyanov sum of quasidifferential mappings,OR
Transactions 11(2007),33-38.
80. X.T. Xiao, L. W. Zhang and J.Z. Zhang, A smoothing Newton method
for a type of inverse semi-definite quadratic programming problems,
Journal of Computational and Applied Mathematics, 223 (2009) 485–
498.
81. L.W.Zhang, Y.H. Ren, Y.Wu and X.T. Xiao, A class of nonlinear
Lagrangians:theory and algorithm, Asia-Pacific Journal of
Operational Research,25:3(2008),327-371.
82. Juhe Sun, Liwei Zhang and Xiantao Xiao, An algorithm based on
resolvent operators for solving varitional inequalities in Hilbert
spaces, Nonlinear Analysis, 69(2008),3344-3357.
83. J.H. Sun, S.W. Zhang and L.W. Zhang, An Algorithm Based on
Resolvant Operators for Solving Positively Semidefinite Variational
Inequalities, Fixed Point Theory and Applications, vol. 2007,
Article ID 76040, 15 pages, 2007. doi:10.1155/2007/76040.
84. Y.Wang,S.W. Zhang and L.W. Zhang, A note on convergence analysis
of an SQP-type method for nonlinear semidefinite programming,
Journal of Inequalities and Applications (Article ID 18345, 10 pages
doi:10.1155/2007/18345).
85. 王韵,张立卫, Hilbert空间中的一类双层规划问题的一阶与二阶最优性条件,
运筹学报,12:3(2008),90-102.
86. 于洪霞, 张绍武,张立卫, 二维装箱问题的非线性规划模型和算法, 大连理工
大学学报, 48:2(2008),308-312.
87. 任咏红, 肖现涛,金丽,张立卫, 基于一类非线性 Lagrange函数的对偶问题,
大连理工大学学报,48:4(2008) ,620-624.
88. Yun Wang and Liwei Zhang, Properties of Equation Reformulation of
the Karush-Kuhn-Tucker Condition for Nonlinear Second Order Cone
Optimization Problems, MathematicalMethods of Operations
Research, 2008, DOI: 10.1007/s00186-008-0241-x
89. Yun Wang and Liwei Zhang,Nonsingularity in Second-Order Cone
Programming via the Smoothing Metric Projector, accepted by
Science in China Series A for publication.
90. Janzhong Zhang and Liwei Zhang,An augmented Lagrangian method for
a class of inverse quadratic programming problems, Applied
Mathematics and Optimization, DOI 10.1007/s00245-009-9075-z.
91. Xiantao Xiao, Liwei Zhang and Jianzhong Zhang, On convergence of
augmented Lagrange method for inverse semi-definite quadratic
programming problems, Journal of Indstrial and Management
Optimization, 5:2(2009),319-339.
92. Yang Li and Liwei Zhang A nonlinear Lagrangian method based on
Log-Sigmoid function for nonconvex semidefinite programming,
Journal of Industrial and Management Optimization,5:3(2009),
651-669.
93. Yang Li, Liwei Zhang, A new nonlinear Lagrangian method for
nonconvex semidefinite programming, accepted by Journal of
Applied Analysis for publication.
94. Xiantao Xiao, Liwei Zhang, A smoothing Newton method for a type of
IQP problems, Journal of Computational Mathematics,Vol.27,
No.6,2009, 787-801.
95. Liwei Zhang, Jian GU and Xiantao Xiao,A Class of Nonlinear
Lagrangians for Nonconvex Second Order Cone Programming,
Computational Optimization and Applications, DOI: 10.1007/s10589-
009-9279-9.
96. Juhe Sun and Liwei Zhang,A globally convergent method based on
FischerBurmeister operators for solving second-order cone constrained variational
inequality problems,Computers and Mathematics with Applications 58 (2009)
1936-1946.
97. Debao Kong and Liwei Zhang, On the multiplier mapping of the modified Frisch
function method for nonlinear optimization, OR Transactions,Vol. 3, No. 3
(2009),31-42.
毕业硕士生:
张晓军,韦修林,张长伦,栗二虎,贺素香,冯庆山,李勤,张鑫,张士霞,刘勇进, 周丽美, 于洪霞, 宋秋生,高桂英,于洪霞,范小娜,张忠元,常青,王韵,肖现涛,李阳, 顾剑,刘春霞,李洁,刘波,白巍,刘溪,王白青,肖瑾,于桂花,张立锋,董彦诚,林苗珊, 许璐璐,张杰, 吴佳,张艺,李延玲,代小梅,张慧宇,田悦,陈昊,齐丽岩,孙艳华,李强,张小娟,赵玉琴,王森
毕业博士生: 贺素香, 刘勇进,周丽美,于洪霞, 任咏红,金丽,孙少燕,黄林,
孙菊贺,王韵, 肖现涛,李阳,顾剑
在读硕士生:王小宝,张宁,曹玲玲,黄婉,程聪,宋晶晶,楼彩英,瑛瑛,王博,
殷子然,周诚毅,初丽,何中磊
在读博士生: 潘少荣,张绍武,王莉,侯剑,张杰,袁艳红,吴佳,张艺,刘强,张宁,
齐丽岩
科研成果及所受奖励:
基金
1. 2000年获中国博士后科研启动基金资助
2. 非线性最优化对偶算法的研究,国家自然科学基金青年基金(项目编
号:1001007),2001.1-2003.12
3. 平衡约束最优化的非光滑分析方法,教育部留学归国人员科研启动基金,2005
4. 非凸半定规划与二阶锥约束优化的算法研究及应用,国家自然科学基金(项目编
号:10771026),2008.1-2010.12
在读学生人数 :
13, 11
毕业学生人数:
46, 13