interpolation和extrapolation在数学上是什么意思？
坑爹xfRQ74BK64
Interpolation原义是 插入；篡改数学上指的是 插值，内插法Trendextrapolation叫外推法是根据过去和现在的发展趋势推断未来的一类方法的总称，用于科技、经济和社会发展的预测，是情报研究法体系的重要部分。趋势外推的基本假设是未来系过去和现在连续发展的结果。趋势外推法的基本理论是：决定事物过去发展的因素，在很大程度上也决定该事物...
为您推荐：
扫描下载二维码南京师范大学数学科学学院，欢迎您访问！
博士生导师 韩德仁
博士生导师
最后毕业时间
博士生导师
所在研究室
计算科学研究室
最优化理论与方法
行健楼513室
2013、9-2014、01
凸分析与优化
优化专业二年级研究生
2013、9-2014、01
计算数学研一
2013、9-2014、01
优化研究生
2013、9-2014、01
最优化方法
计算数学本科生
Kai Wang, Lingling Xu, Deren Han, “A new parallel splitting descent method for structured variational inequalities”, Journal of Industrial and Management Optimization, to appear. 76. 卫婴婴，徐玲玲，韩德仁，“惩罚框架下求解广义纳什均衡的分解算法”，中国科学. 75. Deren Han, Hongjin He, Hai Yang, Xiaoming Yuan, “A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints”, Numerische Mathematik, to appear.74. Xiaolei Wang, Hai Yang, Deren Han, Wei Liu, “Trial-and-error method for optimal tradable credit schemes: The network case”, Journal of Advanced Transportation, to appear.
73. Wenxing Zhang, Deren Han, Suoliang Jiang, “A modified alternating projection based prediction-correction method for structured variational inequalities”, Applied Numerical Mathematics, to appear. 72. Deren Han, Xiaoming Yuan,
Wenxing Zhang, “An augmented-Lagrangian-based parallel splitting method for separable convex minimization with applications to image processing”, Mathematics of Computation, to appear. 71. Deren Han and Liqun Qi, “A successive approximation method for quantum separability”, Frontiers of Mathematics of China.70. Xingju Cai, Deren Han, and Lingling Xu, “An improved first-order primal-dual algorithm with a new correction step”, Journal of Global Optimization. 69. Kai Wang, Deren Han, and Lingling Xu, “A parallel splitting method for separable convex programs”, Journal of Optimization Theory and Applications.68. Deren Han, Jie Sun, and Marcus Ang, “New bounds for the price of anarchy under nonlinear and asymmetric costs”, Optimization (2013)67. Deren Han, Hongjin He, Lingling Xu, “A proximal parallel splitting method for minimizing sum of convex functions with linear constraints”, Journal of Computational and Applied Mathematics 256 (. 66. Yannan Chen, Yuhong Dai, Deren Han, and Wenyu Sun, “Positive Semidefinite Generalized Diffusion Tensor Imaging via Quadratic Semidefinite Programming”, SIAM Journal on Imaging Sciences 6 (-1552.65. Hongjin He, Deren Han, Wenyu Sun, Yannan Chen, “”, Optimization Methods and Software 28 (2. 64. Xiao Ding and Deren Han, “A modification of the forward-backward splitting method for maximal monotone mappings”, Numerical Algebra, Control and Optimization 3(7.63. Lingling Xu and Deren Han, “A proximal alternating direction method for weakly coupled variational inequalities”, Pacific Journal of Optimization 9 (1) (6.62. Deren Han, Xiaoming Yuan, Wenxing Zhang, and Xingju Cai, “An ADM-based splitting method for separable convex programming”, Computational Optimization with Applications 54(2) (9.61. Gang Qian, Deren Han, Hai Yang, and Lingling Xu, “Solving non-additive traffic assignment problems: A self-adaptive projection-auxiliary problem method for variational inequalities”, Journal of Industrial and Management Optimization 9 (1) (4. 60. Zhibao Li, Deren Han, and Wenxing Zhang, “A self-adaptive projection-type method for nonlinear multiple-sets split feasibility problem”, Inverse Problems in Science & Engineering 21(1) (0.59. Xingju Cai, Yannan Chen, and Deren Han, “Nonnegative tensor factorizations using an alternating direction method”, Frontiers of Mathematics of China 8(1) (. 58. Cuixia Cao, Deren Han, and Lingling Xu, “A new partial splitting augmented Lagrangian method for minimizing the sum of three convex”, Applied Mathematics and Computation 219 (-5457.57. 张敏，韩德仁，何洪津，陈艳男，“解可分离结构变分不等式的一种新的交替方向法”，中国科学42（2）（2012）133-149.56. Wenxing Zhang, Deren Han, and Xiaoming Yuan, “An efficient simultaneous method for the constrained multiple-sets split feasibility problem”, Computational Optimization and Applications, 52(3) (3.55. Suoliang Jiang, Deren Han, and Xiaoming Yuan, “”, Neurocomputing 86 (.54. Deren Han and Xiaoming Yuan, “A note on the alternating direction method of multipliers”, Journal of Optimization Theory and Applications 155(1) (8.53. Hongjin He, Deren Han, and Zhibao Li, “Some projection methods with the BB step sizes for variational inequalities”, Journal of Computational and Applied Mathematics 236 (-2604.52. Min Zhang, Deren Han, Gang Qian, and Xihong Yan, “A new decomposition method for variational inequalities with linear constraints”, Journal of Optimization Theory and Applications, 152 (5.51. Deren Han, Hongchao Zhang, Gang Qian, and Lingling Xu, “An improved two-step method for solving generalized Nash equilibrium problems”, European Journal of Operational Research 216 (3.50. Yannan Chen, Deren Han, and Liqun Qi, “New ALS methods with extrapolating search directions and
optimal step size for complex-valued tensor decompositions”, IEEE Transaction on Signal Processing 59（2011）.49. Hongjin He, Hongchao Zhang, and Deren Han, “An improved self-adaptive method for solving variational inequalities”, Advanced Modeling and Optimization 13 (9.48. Zhili Ge, Gang Qian, and Deren Han, “Global convergence of an inexact operator splitting method
for monotone variational inequalities”, Journal of Industrial and Management Optimization 7 (-1026.47. Deren Han and Xiaoming Yuan, “Existence of anonymous link tolls for decentralizing an oligopolistic game and the efficiency analysis”, Journal of Industrial and Management Optimization 7 (4.46. Deren Han, Hai Yang and Xiaolei Wang, “Efficiency of the plate-number-based traffic rationing in general networks”, Transportation Research Part E 46 (–1110. 45. Xiaolei Wang,
Hai Yang, and Deren Han, “Traffic rationing and short-term and long-term equilibrium”,
Transportation Research Record ) 131-141.
44. Deren Han, Wei Xu and Hai Yang, “Solving a class of variational inequalities with inexact oracle operators”, Mathematical Methods of Operations Research 71 (–452. 43. Deren Han, Hai Yang and Xiao-Ming Yuan, “A practical trial-and-error implementation of marginal-cost pricing on networks”, Journal of Industrial and Management Optimization 6（2010）299-313.42. Deren Han, Hong K. Lo, Jie Sun and Hai Yang, “Second-order cone reformulation and the price of anarchy of a robust Nash-Cournot game”, Paci?c Journal of Optimization 6（2010）211-226. 41. Gang Qian, Deren Han and Hongjin He, “Congestion control with pricing in the absence of demand and cost functions: An improved trial and error method”, Journal of Industrial and Management Optimization 6 (1. 40. Wenxing Zhang, Deren Han, and Zhibao Li, “A self-adaptive projection method for solving the multiple-sets split feasibility problem”, Inverse Problems, 25 ( (16pp). doi: 10.11/25/11/115001. 41. Deren Han, Liqun Qi, and Huihui Dai, “Conditions for strong ellipticity of anisotropic elastic materials”, Journal of Elasticity 97 (. 38. Zhili Ge and Deren Han, “Self-adaptive implicit methods for monotone variant variational inequalities”, Journal of Inequalities and Applications, vol. 2009, Article ID
pages, 2009. doi:10.8134. 37. Liqun Qi, Huihui Dai, and Deren Han, “Conditions for strong ellipticity and M-eigenvalues”, Frontiers of Mathematics in China 4 (4.36. Xihong Yan, Deren Han, and Wenyu Sun, “A modi?ed projection method with a new direction for solving variational inequalities”, Applied Mathematics and Computation 211 (9. 35. Wenxing Zhang and Deren Han, “A new alternating direction method for co-coercive variational inequality problems”, Computers and Mathematics with Applications 57 (-1178. 34. Deren Han and Hai Yang, “Congestion pricing in the absence of demand functions”, Transportation Research Part E 45 (1. 33.
Liqun Qi, Deren Han, and Ed X. Wu, “Principal invariants and inherent parameters of di?usion kurtosis tensors”, Journal of Mathematical Analysis & Applications 349 (0. 32. Deren Han, Wei Xu, and Hai Yang, “An operator splitting method for variational inequalities with partially unknown mappings”, Numerische Mathematik 111 (7 31. Deren Han, “A generalized proximal point based prediction-correction method for variational inequality problems”, Journal of Computational and Applied Mathematics 221 (3. 30. Deren Han, Liqun Qi, and Ed X. Wu, “Extreme diffusion values for non-Gaussian diffusions”, Optimization Methods and Software 23 (6. 29. Xihong Yan, Deren Han, and Wenyu Sun, “A self-adaptive projection method with improved step-size for solving variational inequalities”, Computers and Mathematics with Applications 55 (2. 28. Deren Han，Hong K. Lo, and Hai Yang, “On the price of anarchy for non-atomic congestion games under asymmetric costs with elastic demand”, Computers and Mathematics with Applications 56 (-2743. 27. Deren Han, “A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems”, Computers and Mathematics with Applications 55 (5. 26. Hai Yang，Deren Han, and Hong K. Lo, “Efficiency of atomic splittable selfish routing with polynomial cost functions”, Networks and Spatial Economics 8 (1. 25. Deren Han and Hai Yang, “The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing”, Transportation Research Part E 44 (3. 24. Deren Han, Hong K. Lo, Jie Sun, and Hai Yang, “The toll effect on price of anarchy with nonlinear and asymmetric costs”, European Journal of Operational Research 186 (6. 23. Deren Han, “On the coerciveness of some merit functions for complementarity problems over symmetric cones”, Journal of Mathematical Analysis and Applications 336 (7. 22. Deren Han, Hong K. Lo and Zhiwei Wang, “A simple self-adaptive alternating direction method for linear variational inequality problems”, Computers and Mathematics with Applications 53 (-1604. 21. Zhong Zhou, Anthony Chen, and Deren Han, “An extended alternating direction method for varaitional inequality problems with linear equality and inequality constraints”, Applied Mathematics and Computation 184 (2.20. Deren Han, “Inexact operator splitting methods with self-adaptive strategy for variational inequality problems”, Journal of Optimization Theory and Applications 132 (2) (3. 19. Feng Xiao, Hai Yang, and Deren Han, “Competition and efficiency of private toll roads”, Transportation Research Part B 41 (8. 18. Deren Han, “Solving linear variational inequality problems by a self-adaptive projection method”, Applied Mathematics and Computation, 182（2006）1765－1771. 17. Deren Han, “A new class of projection and contraction methods for solving variational inequality problems”, Computers and Mathematics with Applications, 51(0. 16. Deren Han, Xun Li, Jie Sun, and Defeng Sun, “Bounding Option Prices of Multi-Asset: A Semidefinite Programming Approach”, Pacific Journal of Optimization 1 (.15. Deren Han and Wenyu Sun, “A new modified Goldstein-Levitin-Polyak projection method for variational inequality problems”, Computers and Mathematics with Applications, 47(25. 14. Deren Han and Hong K. Lo, “Solving non-additive traffic assignment problems: A descent method for co-coercive variational inequalities”, European Journal of Operational Research 159 (5. 13. Deren Han, “A truly globally convergent feasible Newton-type method for mixed complementarity problems”, Journal of Computational Mathematics, 22(0. 12. Deren Han and Hong K. Lo, “Solving variational inequality problems with linear constraints by a proximal decomposition algorithm”, Journal of Global Optimization, 28 (. 11. Deren Han and Hong K. Lo, “A descent algorithm for minimizing the regularized gap function”, Mathematical Methods of Operations Research, 58 (9.10. Deren Han, “A proximal decomposition algorithm for variational inequality problems”, Journal of Computational and Applied Mathematics, 161 (4. 9. Deren Han and Wenyu Sun, “New decomposition methods for solving variational inequality problems”, Mathematical and Computer Modelling 37 (8. 8.
Deren Han, “A new hybrid generalized proximal point algorithm for variational inequality problems”, Journal of Global Optimization 26 (0. 7.
Bingsheng He, Lizhi Liao, Deren Han and Hai Yang, “A new inexact alternating direction method for monotone variational inequalities”, Mathematical Programming 92 (8.6.
Deren Han and Hong K. Lo, “A new alternating direction method for a class of nonlinear variational inequality problems”, Journal of Optimization Theory and Applications 112 (0.5.
Deren Han, “A modified alternating direction method for variational inequality problems”, Applied Mathematics and Optimization 45 (. 4.
Deren Han and Hong K. Lo, “A new stepsize rule in He and Zhou's alternating direction method”, Applied Mathematics Letters 15 (5. 3.
Bingsheng He, Hai Yang, Qiang Meng, and Deren Han, “Modified Goldstein-Levitin-Polyak projection method for asymmetric strongly monotone variational inequalities”, Journal of Optimization Theory and Applications 112 (3 2002. 2.
Deren Han and Hong K. Lo, “Two new self-adaptive projection methods for variational inequality problems”, Computers and Mathematics with Applications 43 (-1537. 1.
Deren Han and Bingsheng He, “A new accuracy criterion for approximate proximal point algorithms”, Journal of Mathematical Analysis and Applications 263 (4.
国家自然科学基金: “广义Nash均衡问题的分解算法研究及应用”，主持人， 62万,
2014、1－2017、12.2.
国家自然科学基金: “张量分解与最优化及其在信息处理中的应用”, 第一参加人， 43万， 15.12.3.
国家自然科学基金: “解微分变分不等式问题的数值方法及动态交通平衡问题”，主持人， 33万,
2011、1－2013、12.4.
江苏省自然科学基金: “大规模科学计算及其在医疗、管理和大气科学中的应用”, 8万，主持人, 11.12. 5.
江苏省自然科学基金: “子空间分类集成和数据不平衡问题研究”, 8万，第二参加人, 10.12.6.
江苏省自然科学基金: “非线性最优扰动方法在数值天气预报中的应用”，8万，第四参加人, 10.12.7.
国家自然科学基金: “解大型非线性规划，非线性半定规划和变分不等式的过滤集型方法的研究”, 第一参加人， 27万， 11.12.8.
教育部留学回国基金: “基于信息的求解变分不等式问题的算法和应用”, 主持人， 2.5万, 2007.01 --2009.12. 9.
国家自然科学基金青年基金: “解变分不等式问题的一些简单数值方法和网络平衡问题”，主持人，15万, 2006、1－2008、12. 10. 江苏省自然科学基金: “大规模优化问题的高性能算法”, 主持人, 6万, 2006、4－2008、12.
南京师范大学“百人计划”
江苏省“333高层次人才培养工程”（第3层次）
中国运筹学会青年运筹学奖二等奖
江苏省科技进步二等奖（7/7）
所在机构及担任职务
江苏省计算数学会 理事
南京师范大学数学科学学院 版权所有 Copyright (C) 2009
通讯地址：南京市亚东新城区文苑路1号 南京师范大学数学科学学院 邮政编码：210023
联系电话:025-}