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## Han, Deren

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 Author ID: han.deren Published as: Han, Deren; Han, D.; Han, D. R.; Han, De-Ren Homepage: http://schools.njnu.edu.cn/math/person/deren-han External Links: MGP
 Documents Indexed: 132 Publications since 1993
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#### Co-Authors

 13 single-authored 21 Cai, Xingju 12 He, Hongjin 12 Yuan, Xiaoming 11 Lo, Hong Kam 11 Yang, Hai 10 Xu, Lingling 10 Zhang, Wenxing 6 Guo, Ke 6 Qi, Liqun 6 Qian, Gang 5 Chen, Yannan 5 Sun, Wenyu 5 Wang, David Z. W. 4 Ge, Zhili 4 Jia, ZeHui 4 Li, Zhibao 4 Sun, Jie 3 Dai, Yu-Hong 3 Dong, Xiaoliang 3 He, Bingsheng 3 Kim, Young Suh 3 Noz, Marilyn Eileen 3 Wang, Kai 3 Wu, Tingting 3 Wu, Zhongming 3 Yan, Xihong 2 Chen, Cairong 2 Dai, Hui-Hui 2 Dai, Zhifeng 2 Dong, Xiaomei 2 Gao, Xue 2 Jiang, Fan 2 Sun, Defeng 2 Wu, Ed Xuekui 2 Yu, Dongmei 2 Zhang, Chun 2 Zhang, Hongchao 1 Adler, James H. 1 Ang, Marcus 1 Bi, Peipei 1 Cao, Cuixia 1 Chen, Anthony 1 Ding, Xiao 1 Dorfmann, Luis 1 Ghanbari, Reza 1 Gu, Yan 1 Hammond, Mark 1 Hou, Wenjing 1 Hu, Leyu 1 Jiang, Suoliang 1 Jiang, Yaning 1 Kong, WeiWei 1 Li, Lixiang 1 Li, Min 1 Li, Xiangli 1 Li, Xiaohuan 1 Li, Xun 1 Liao, Li-Zhi 1 Liu, Foxiang 1 MacLachlan, Scott P. 1 Ni, Qin 1 Paetsch, C. 1 Sha, Fan 1 Song, Yongzhong 1 Sun, Yuehong 1 Wang, Qun 1 Wang, Zhiwei 1 Xia, Yong 1 Xu, Dachuan 1 Xu, Yi 1 Xu, Zhuoyi 1 Yang, Weihong 1 Yang, Yinong 1 Yeh, Leehwa 1 Zhang, Liwei 1 Zhang, Xiaofei 1 Zhang, Xiaoyan 1 Zhong, Weijun 1 Zhou, Zhong 1 Zhu, Jianguang
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#### Serials

 9 Journal of Optimization Theory and Applications 9 Journal of Industrial and Management Optimization 8 Computers & Mathematics with Applications 6 Pacific Journal of Optimization 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 Journal of Global Optimization 5 European Journal of Operational Research 5 Frontiers of Mathematics in China 4 Computational Optimization and Applications 3 Journal of Mathematical Analysis and Applications 3 Mathematics of Computation 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 Asia-Pacific Journal of Operational Research 3 Optimization Methods & Software 2 Journal of Mathematical Physics 2 Numerische Mathematik 2 Mathematica Numerica Sinica 2 Journal of Computational Mathematics 2 Optimization 2 International Journal of Computer Mathematics 2 Journal of Nanjing Normal University. Natural Science Edition 2 Mathematical Methods of Operations Research 2 Inverse Problems and Imaging 2 SIAM Journal on Imaging Sciences 2 Numerical Algebra, Control and Optimization 1 IMA Journal of Applied Mathematics 1 Inverse Problems 1 Information Processing Letters 1 Physics Letters. A 1 Applied Mathematics and Optimization 1 Mathematics of Operations Research 1 Siberian Mathematical Journal 1 Numerical Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Journal of Nanjing University. Mathematical Biquarterly 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 IEEE Transactions on Signal Processing 1 Journal of Elasticity 1 Mathematical Programming. Series A. Series B 1 Journal of Mathematical Imaging and Vision 1 Neural, Parallel & Scientific Computations 1 Advances in Computational Mathematics 1 Journal on Numerical Methods and Computer Applications 1 Journal of Inequalities and Applications 1 Stochastic Environmental Research and Risk Assessment 1 Journal of Natural Science. Nanjing Normal University 1 Networks and Spatial Economics 1 Inverse Problems in Science and Engineering 1 Optimization Letters 1 Advanced Modeling and Optimization 1 Science China. Mathematics 1 International Journal of Mathematical Modelling and Numerical Optimisation 1 Journal of the Operations Research Society of China 1 East Asian Journal on Applied Mathematics
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#### Fields

 86 Operations research, mathematical programming (90-XX) 62 Numerical analysis (65-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Information and communication theory, circuits (94-XX) 8 Operator theory (47-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 5 Quantum theory (81-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

93 Publications have been cited 1,096 times in 618 Documents Cited by Year
A new inexact alternating directions method for monotone variational inequalities. Zbl 1009.90108
He, Bingsheng; Liao, Li-Zhi; Han, Deren; Yang, Hai
2002
A note on the alternating direction method of multipliers. Zbl 1255.90093
Han, Deren; Yuan, Xiaoming
2012
Solving non-additive traffic assignment problems: a descent method for co-coercive variational inequalities. Zbl 1065.90015
Han, Deren; Lo, Hong K.
2004
Local linear convergence of the alternating direction method of multipliers for quadratic programs. Zbl 1285.90033
Han, Deren; Yuan, Xiaoming
2013
An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing. Zbl 1311.90100
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
2014
A self-adaptive projection method for solving the multiple-sets split feasibility problem. Zbl 1185.65102
Zhang, Wenxing; Han, Deren; Li, Zhibao
2009
Modified Goldstein–Levitin–Polyak projection method for asymmetric strongly monotone variational inequalities. Zbl 0998.65066
He, B. S.; Yang, H.; Meng, Q.; Han, D. R.
2002
A new accuracy criterion for approximate proximal point algorithms. Zbl 0995.65062
Han, Deren; He, Bingsheng
2001
Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004
Qi, Liqun; Dai, Hui-Hui; Han, Deren
2009
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
2009
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function. Zbl 1372.90079
Cai, Xingju; Han, Deren; Yuan, Xiaoming
2017
Positive semidefinite generalized diffusion tensor imaging via quadratic semidefinite programming. Zbl 1283.65057
Chen, Yannan; Dai, Yuhong; Han, Deren; Sun, Wenyu
2013
Two new self-adaptive projection methods for variational inequality problems. Zbl 1012.65064
Han, Deren; Lo, Hong K.
2002
An ADM-based splitting method for separable convex programming. Zbl 1269.90078
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing; Cai, Xingju
2013
A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints. Zbl 1295.90046
Han, Deren; He, Hongjin; Yang, Hai; Yuan, Xiaoming
2014
New alternating direction method for a class of nonlinear variational inequality problems. Zbl 0996.49003
Han, D. R.; Lo, H. K.
2002
Inexact operator splitting methods with selfadaptive strategy for variational inequality problems. Zbl 1149.49010
Han, D.
2007
Convergence of alternating direction method for minimizing sum of two nonconvex functions with linear constraints. Zbl 1375.90239
Guo, K.; Han, D. R.; Wu, T. T.
2017
Linear convergence of the alternating direction method of multipliers for a class of convex optimization problems. Zbl 1342.90138
Yang, Wei Hong; Han, Deren
2016
Linear rate convergence of the alternating direction method of multipliers for convex composite programming. Zbl 1440.90047
Han, Deren; Sun, Defeng; Zhang, Liwei
2018
An improved two-step method for solving generalized Nash equilibrium problems. Zbl 1252.90081
Han, Deren; Zhang, Hongchao; Qian, Gang; Xu, Lingling
2012
An operator splitting method for variational inequalities with partially unknown mappings. Zbl 1159.65069
Han, Deren; Xu, Wei; Yang, Hai
2008
On the coerciveness of some merit functions for complementarity problems over symmetric cones. Zbl 1124.49027
Han, Deren
2007
A partial splitting augmented Lagrangian method for low patch-rank image decomposition. Zbl 1332.68270
Han, Deren; Kong, Weiwei; Zhang, Wenxing
2015
A modified alternating direction method for variational inequality problems. Zbl 1098.90537
Han, D.
2002
A new parallel splitting descent method for structured variational inequalities. Zbl 1278.49038
Wang, Kai; Xu, Lingling; Han, Deren
2014
A new hybrid generalized proximal point algorithm for variational inequality problems. Zbl 1044.65055
Han, Deren
2003
An efficient simultaneous method for the constrained multiple-sets split feasibility problem. Zbl 1282.90131
Zhang, Wenxing; Han, Deren; Yuan, Xiaoming
2012
Exponential stability of functional differential systems with impulsive effect on random moments. Zbl 1096.34060
Wu, S. J.; Han, D.
2005
A self-adaptive projection method with improved step-size for solving variational inequalities. Zbl 1144.65047
Yan, Xihong; Han, Deren; Sun, Wenyu
2008
Convergence analysis of Douglas-Rachford splitting method for “strongly + weakly” convex programming. Zbl 1368.47038
Guo, Ke; Han, Deren; Yuan, Xiaoming
2017
A new stepsize rule in He and Zhou’s alternating direction method. Zbl 0995.49007
Han, Deren; Lo, Hong K.
2002
Some projection methods with the BB step sizes for variational inequalities. Zbl 1317.65150
He, Hongjin; Han, Deren; Li, Zhibao
2012
A distributed Douglas-Rachford splitting method for multi-block convex minimization problems. Zbl 1332.90198
He, Hongjin; Han, Deren
2016
A sequential updating scheme of the Lagrange multiplier for separable convex programming. Zbl 1348.90520
Dai, Yu-Hong; Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
2017
A class of nonmonotone conjugate gradient methods for unconstrained optimization. Zbl 0956.90047
Liu, G. H.; Jing, L. L.; Han, L. X.; Han, D.
1999
An improved first-order primal-dual algorithm with a new correction step. Zbl 1282.90232
Cai, Xingju; Han, Deren; Xu, Lingling
2013
A proximal parallel splitting method for minimizing sum of convex functions with linear constraints. Zbl 1314.90060
Han, Deren; He, Hongjin; Xu, Lingling
2014
Solving linear variational inequality problems by a self-adaptive projection method. Zbl 1110.65057
Han, Deren
2006
Efficiency of atomic splittable selfish routing with polynomial cost functions. Zbl 1162.90360
Yang, Hai; Han, Deren; Lo, Hong Kam
2008
A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems. Zbl 1179.49033
Han, Deren
2008
A modified alternating projection based prediction-correction method for structured variational inequalities. Zbl 1291.65194
Zhang, Wenxing; Han, Deren; Jiang, Suoliang
2014
$$O(3,3)$$-like symmetries of coupled harmonic oscillators. Zbl 0853.70013
Han, D.; Kim, Y. S.; Noz, Marilyn E.
1995
A proximal decomposition algorithm for variational inequality problems. Zbl 1041.65053
Han, Deren
2003
Solving variational inequality problems with linear constraints by a proximal decomposition algorithm. Zbl 1036.49017
Han, Deren; Lo, Hong K.
2004
A modified projection method with a new direction for solving variational inequalities. Zbl 1188.65091
Yan, Xihong; Han, Deren; Sun, Wenyu
2009
Lie-type higher derivations on operator algebras. Zbl 1341.47041
Han, D.
2014
New ALS methods with extrapolating search directions and optimal step size for complex-valued tensor decompositions. Zbl 1393.94194
Chen, Yannan; Han, Deren; Qi, Liqun
2011
An accelerated three-term conjugate gradient method with sufficient descent condition and conjugacy condition. Zbl 1402.90176
Dong, XiaoLiang; Han, Deren; Dai, Zhifeng; Li, Lixiang; Zhu, Jianguang
2018
A self-adaptive projection-type method for nonlinear multiple-sets split feasibility problem. Zbl 1272.65053
Li, Zhibao; Han, Deren; Zhang, Wenxing
2013
A note on the Douglas-Rachford splitting method for optimization problems involving hypoconvex functions. Zbl 1412.90107
Guo, Ke; Han, Deren
2018
Nonnegative tensor factorizations using an alternating direction method. Zbl 1263.15026
Cai, Xingju; Chen, Yannan; Han, Deren
2013
A new alternating direction method for co-coercive variational inequality problems. Zbl 1186.65086
Zhang, Wenxing; Han, Deren
2009
A symmetric alternating direction method of multipliers for separable nonconvex minimization problems. Zbl 1383.90028
Wu, Zhongming; Li, Min; Wang, David Z. W.; Han, Deren
2017
Principal invariants and inherent parameters of diffusion kurtosis tensors. Zbl 1158.15029
Qi, Liqun; Han, Deren; Wu, Ed X.
2009
A simple self-adaptive alternating direction method for linear variational inequality problems. Zbl 1152.49302
Han, Deren; Lo, Hong K.; Wang, Zhiwei
2007
Symmetries of two-mode squeezed states. Zbl 0792.22010
Han, D.; Kim, Y. S.; Noz, Marilyn E.; Yeh, Leehwa
1993
A successive approximation method for quantum separability. Zbl 1306.81012
Han, Deren; Qi, Liqun
2013
Global convergence of an inexact operator splitting method for monotone variational inequalities. Zbl 1231.90356
Ge, Zhili; Qian, Gang; Han, Deren
2011
A class of nonlinear proximal point algorithms for variational inequality problems. Zbl 1317.65145
He, Hongjin; Cai, Xingju; Han, Deren
2015
Convergence of ADMM for multi-block nonconvex separable optimization models. Zbl 1386.90114
Guo, Ke; Han, Deren; Wang, David Z. W.; Wu, Tingting
2017
The toll effect on price of anarchy when costs are nonlinear and asymmetric. Zbl 1138.90346
Han, Deren; Lo, Hong K.; Sun, Jie; Yang, Hai
2008
A generalized proximal-point-based prediction-correction method for variational inequality problems. Zbl 1185.65111
Han, Deren
2008
Extreme diffusion values for non-Gaussian diffusions. Zbl 1154.60342
Han, Deren; Qi, Liqun; Wu, Ed X.
2008
Some new three-term Hestenes-Stiefel conjugate gradient methods with affine combination. Zbl 1375.90281
Dong, Xiao-Liang; Han, De-Ren; Ghanbari, Reza; Li, Xiang-Li; Dai, Zhi-Feng
2017
A parallel splitting method for separable convex programs. Zbl 1281.90034
Wang, Kai; Han, D. R.; Xu, L. L.
2013
Comparison of several fast algorithms for projection onto an ellipsoid. Zbl 1360.65168
Jia, Zehui; Cai, Xingju; Han, Deren
2017
New decomposition methods for solving variational inequality problems. Zbl 1038.49008
Han, Deren; Sun, Wenyu
2003
Solving nonadditive traffic assignment problems: a self-adaptive projection-auxiliary problem method for variational inequalities. Zbl 1263.90102
Qian, Gang; Han, Deren; Xu, Lingling; Yang, Hai
2013
Self-adaptive implicit methods for monotone variant variational inequalities. Zbl 1180.49009
Ge, Zhili; Han, Deren
2009
A fast splitting method tailored for Dantzig selector. Zbl 1334.90165
He, Hongjin; Cai, Xingju; Han, Deren
2015
Bounding option pricing of multi-assets: a semidefinite programming approach. Zbl 1105.90056
Han, Deren; Li, Xun; Sun, Defeng; Sun, Jie
2005
New bounds for the price of anarchy under nonlinear and asymmetric costs. Zbl 1303.91021
Han, Deren; Sun, Jie; Ang, Marcus
2014
An extended alternating direction method for variational inequality problems with linear equality and inequality constraints. Zbl 1119.65059
Zhou, Zhong; Chen, Anthony; Han, Deren
2007
A proximal alternating direction method for weakly coupled variational inequalities. Zbl 1320.65104
Xu, Lingling; Han, Deren
2013
On the price of anarchy for non-atomic congestion games under asymmetric cost maps and elastic demands. Zbl 1165.91311
Han, Deren; Lo, Hong K.; Yang, Hai
2008
Fiber orientation distribution estimation using a Peaceman-Rachford splitting method. Zbl 1346.92038
Chen, Yannan; Dai, Yu-Hong; Han, Deren
2016
Mathematical and computational models of incompressible materials subject to shear. Zbl 1299.74155
Adler, J. H.; Dorfmann, L.; Han, D.; MacLachlan, S.; Paetsch, C.
2014
An LQP-based two-step method for structured variational inequalities. Zbl 1387.65051
He, Hong-Jin; Wang, Kai; Cai, Xing-Ju; Han, De-Ren
2017
$$O(1/t)$$ complexity analysis of the generalized alternating direction method of multipliers. Zbl 1431.65083
Cai, Xingju; Han, Deren
2019
Linearized block-wise alternating direction method of multipliers for multiple-block convex programming. Zbl 1412.90117
Wu, Zhongming; Cai, Xingju; Han, Deren
2018
An operator splitting method for monotone variational inequalities with a new perturbation strategy. Zbl 1391.90586
Ge, Zhili; Han, Deren; Ni, Qin; Wang, David Z. W.
2018
A hybrid splitting method for variational inequality problems with separable structure. Zbl 1278.65089
He, Hongjin; Han, Deren; Sun, Wenyu; Chen, Yannan
2013
A new partial splitting augmented Lagrangian method for minimizing the sum of three convex functions. Zbl 1285.90032
Cao, Cuixia; Han, Deren; Xu, Lingling
2013
Higher derivations on Lie ideals of triangular algebras. Zbl 1261.16043
Han, D.
2012
The “best” bound for price of anarchy derived from Perakis’ method. Zbl 1229.90285
Li, Zhibao; Han, Deren; Lu, Jian
2009
Solving a class of variational inequalities with inexact oracle operators. Zbl 1196.49007
Han, Deren; Xu, Wei; Yang, Hai
2010
Solving policy design problems: alternating direction method of multipliers-based methods for structured inverse variational inequalities. Zbl 1430.90530
Jiang, Yaning; Cai, Xingju; Han, Deren
2020
A trust-region-based alternating least-squares algorithm for tensor decompositions. Zbl 1413.90178
Jiang, Fan; Han, Deren; Zhang, Xiaofei
2018
A tri-level optimization model for a private road competition problem with traffic equilibrium constraints. Zbl 1403.90225
Gu, Yan; Cai, Xingju; Han, Deren; Wang, David Z. W.
2019
A truly globally convergent feasible Newton-type method for mixed complementarity problems. Zbl 1054.65059
Han, Deren
2004
A new class of projection and contraction methods for solving variational inequality problems. Zbl 1181.90258
Han, D.
2006
A modification of the forward-backward splitting method for maximal monotone mappings. Zbl 1383.49007
Ding, Xiao; Han, Deren
2013
Solving policy design problems: alternating direction method of multipliers-based methods for structured inverse variational inequalities. Zbl 1430.90530
Jiang, Yaning; Cai, Xingju; Han, Deren
2020
$$O(1/t)$$ complexity analysis of the generalized alternating direction method of multipliers. Zbl 1431.65083
Cai, Xingju; Han, Deren
2019
A tri-level optimization model for a private road competition problem with traffic equilibrium constraints. Zbl 1403.90225
Gu, Yan; Cai, Xingju; Han, Deren; Wang, David Z. W.
2019
Linear rate convergence of the alternating direction method of multipliers for convex composite programming. Zbl 1440.90047
Han, Deren; Sun, Defeng; Zhang, Liwei
2018
An accelerated three-term conjugate gradient method with sufficient descent condition and conjugacy condition. Zbl 1402.90176
Dong, XiaoLiang; Han, Deren; Dai, Zhifeng; Li, Lixiang; Zhu, Jianguang
2018
A note on the Douglas-Rachford splitting method for optimization problems involving hypoconvex functions. Zbl 1412.90107
Guo, Ke; Han, Deren
2018
Linearized block-wise alternating direction method of multipliers for multiple-block convex programming. Zbl 1412.90117
Wu, Zhongming; Cai, Xingju; Han, Deren
2018
An operator splitting method for monotone variational inequalities with a new perturbation strategy. Zbl 1391.90586
Ge, Zhili; Han, Deren; Ni, Qin; Wang, David Z. W.
2018
A trust-region-based alternating least-squares algorithm for tensor decompositions. Zbl 1413.90178
Jiang, Fan; Han, Deren; Zhang, Xiaofei
2018
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function. Zbl 1372.90079
Cai, Xingju; Han, Deren; Yuan, Xiaoming
2017
Convergence of alternating direction method for minimizing sum of two nonconvex functions with linear constraints. Zbl 1375.90239
Guo, K.; Han, D. R.; Wu, T. T.
2017
Convergence analysis of Douglas-Rachford splitting method for “strongly + weakly” convex programming. Zbl 1368.47038
Guo, Ke; Han, Deren; Yuan, Xiaoming
2017
A sequential updating scheme of the Lagrange multiplier for separable convex programming. Zbl 1348.90520
Dai, Yu-Hong; Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
2017
A symmetric alternating direction method of multipliers for separable nonconvex minimization problems. Zbl 1383.90028
Wu, Zhongming; Li, Min; Wang, David Z. W.; Han, Deren
2017
Convergence of ADMM for multi-block nonconvex separable optimization models. Zbl 1386.90114
Guo, Ke; Han, Deren; Wang, David Z. W.; Wu, Tingting
2017
Some new three-term Hestenes-Stiefel conjugate gradient methods with affine combination. Zbl 1375.90281
Dong, Xiao-Liang; Han, De-Ren; Ghanbari, Reza; Li, Xiang-Li; Dai, Zhi-Feng
2017
Comparison of several fast algorithms for projection onto an ellipsoid. Zbl 1360.65168
Jia, Zehui; Cai, Xingju; Han, Deren
2017
An LQP-based two-step method for structured variational inequalities. Zbl 1387.65051
He, Hong-Jin; Wang, Kai; Cai, Xing-Ju; Han, De-Ren
2017
Linear convergence of the alternating direction method of multipliers for a class of convex optimization problems. Zbl 1342.90138
Yang, Wei Hong; Han, Deren
2016
A distributed Douglas-Rachford splitting method for multi-block convex minimization problems. Zbl 1332.90198
He, Hongjin; Han, Deren
2016
Fiber orientation distribution estimation using a Peaceman-Rachford splitting method. Zbl 1346.92038
Chen, Yannan; Dai, Yu-Hong; Han, Deren
2016
A partial splitting augmented Lagrangian method for low patch-rank image decomposition. Zbl 1332.68270
Han, Deren; Kong, Weiwei; Zhang, Wenxing
2015
A class of nonlinear proximal point algorithms for variational inequality problems. Zbl 1317.65145
He, Hongjin; Cai, Xingju; Han, Deren
2015
A fast splitting method tailored for Dantzig selector. Zbl 1334.90165
He, Hongjin; Cai, Xingju; Han, Deren
2015
An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing. Zbl 1311.90100
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
2014
A customized Douglas-Rachford splitting algorithm for separable convex minimization with linear constraints. Zbl 1295.90046
Han, Deren; He, Hongjin; Yang, Hai; Yuan, Xiaoming
2014
A new parallel splitting descent method for structured variational inequalities. Zbl 1278.49038
Wang, Kai; Xu, Lingling; Han, Deren
2014
A proximal parallel splitting method for minimizing sum of convex functions with linear constraints. Zbl 1314.90060
Han, Deren; He, Hongjin; Xu, Lingling
2014
A modified alternating projection based prediction-correction method for structured variational inequalities. Zbl 1291.65194
Zhang, Wenxing; Han, Deren; Jiang, Suoliang
2014
Lie-type higher derivations on operator algebras. Zbl 1341.47041
Han, D.
2014
New bounds for the price of anarchy under nonlinear and asymmetric costs. Zbl 1303.91021
Han, Deren; Sun, Jie; Ang, Marcus
2014
Mathematical and computational models of incompressible materials subject to shear. Zbl 1299.74155
Adler, J. H.; Dorfmann, L.; Han, D.; MacLachlan, S.; Paetsch, C.
2014
Local linear convergence of the alternating direction method of multipliers for quadratic programs. Zbl 1285.90033
Han, Deren; Yuan, Xiaoming
2013
Positive semidefinite generalized diffusion tensor imaging via quadratic semidefinite programming. Zbl 1283.65057
Chen, Yannan; Dai, Yuhong; Han, Deren; Sun, Wenyu
2013
An ADM-based splitting method for separable convex programming. Zbl 1269.90078
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing; Cai, Xingju
2013
An improved first-order primal-dual algorithm with a new correction step. Zbl 1282.90232
Cai, Xingju; Han, Deren; Xu, Lingling
2013
A self-adaptive projection-type method for nonlinear multiple-sets split feasibility problem. Zbl 1272.65053
Li, Zhibao; Han, Deren; Zhang, Wenxing
2013
Nonnegative tensor factorizations using an alternating direction method. Zbl 1263.15026
Cai, Xingju; Chen, Yannan; Han, Deren
2013
A successive approximation method for quantum separability. Zbl 1306.81012
Han, Deren; Qi, Liqun
2013
A parallel splitting method for separable convex programs. Zbl 1281.90034
Wang, Kai; Han, D. R.; Xu, L. L.
2013
Solving nonadditive traffic assignment problems: a self-adaptive projection-auxiliary problem method for variational inequalities. Zbl 1263.90102
Qian, Gang; Han, Deren; Xu, Lingling; Yang, Hai
2013
A proximal alternating direction method for weakly coupled variational inequalities. Zbl 1320.65104
Xu, Lingling; Han, Deren
2013
A hybrid splitting method for variational inequality problems with separable structure. Zbl 1278.65089
He, Hongjin; Han, Deren; Sun, Wenyu; Chen, Yannan
2013
A new partial splitting augmented Lagrangian method for minimizing the sum of three convex functions. Zbl 1285.90032
Cao, Cuixia; Han, Deren; Xu, Lingling
2013
A modification of the forward-backward splitting method for maximal monotone mappings. Zbl 1383.49007
Ding, Xiao; Han, Deren
2013
A note on the alternating direction method of multipliers. Zbl 1255.90093
Han, Deren; Yuan, Xiaoming
2012
An improved two-step method for solving generalized Nash equilibrium problems. Zbl 1252.90081
Han, Deren; Zhang, Hongchao; Qian, Gang; Xu, Lingling
2012
An efficient simultaneous method for the constrained multiple-sets split feasibility problem. Zbl 1282.90131
Zhang, Wenxing; Han, Deren; Yuan, Xiaoming
2012
Some projection methods with the BB step sizes for variational inequalities. Zbl 1317.65150
He, Hongjin; Han, Deren; Li, Zhibao
2012
Higher derivations on Lie ideals of triangular algebras. Zbl 1261.16043
Han, D.
2012
New ALS methods with extrapolating search directions and optimal step size for complex-valued tensor decompositions. Zbl 1393.94194
Chen, Yannan; Han, Deren; Qi, Liqun
2011
Global convergence of an inexact operator splitting method for monotone variational inequalities. Zbl 1231.90356
Ge, Zhili; Qian, Gang; Han, Deren
2011
Solving a class of variational inequalities with inexact oracle operators. Zbl 1196.49007
Han, Deren; Xu, Wei; Yang, Hai
2010
A self-adaptive projection method for solving the multiple-sets split feasibility problem. Zbl 1185.65102
Zhang, Wenxing; Han, Deren; Li, Zhibao
2009
Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004
Qi, Liqun; Dai, Hui-Hui; Han, Deren
2009
Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006
Han, Deren; Dai, H. H.; Qi, Liqun
2009
A modified projection method with a new direction for solving variational inequalities. Zbl 1188.65091
Yan, Xihong; Han, Deren; Sun, Wenyu
2009
A new alternating direction method for co-coercive variational inequality problems. Zbl 1186.65086
Zhang, Wenxing; Han, Deren
2009
Principal invariants and inherent parameters of diffusion kurtosis tensors. Zbl 1158.15029
Qi, Liqun; Han, Deren; Wu, Ed X.
2009
Self-adaptive implicit methods for monotone variant variational inequalities. Zbl 1180.49009
Ge, Zhili; Han, Deren
2009
The “best” bound for price of anarchy derived from Perakis’ method. Zbl 1229.90285
Li, Zhibao; Han, Deren; Lu, Jian
2009
An operator splitting method for variational inequalities with partially unknown mappings. Zbl 1159.65069
Han, Deren; Xu, Wei; Yang, Hai
2008
A self-adaptive projection method with improved step-size for solving variational inequalities. Zbl 1144.65047
Yan, Xihong; Han, Deren; Sun, Wenyu
2008
Efficiency of atomic splittable selfish routing with polynomial cost functions. Zbl 1162.90360
Yang, Hai; Han, Deren; Lo, Hong Kam
2008
A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems. Zbl 1179.49033
Han, Deren
2008
The toll effect on price of anarchy when costs are nonlinear and asymmetric. Zbl 1138.90346
Han, Deren; Lo, Hong K.; Sun, Jie; Yang, Hai
2008
A generalized proximal-point-based prediction-correction method for variational inequality problems. Zbl 1185.65111
Han, Deren
2008
Extreme diffusion values for non-Gaussian diffusions. Zbl 1154.60342
Han, Deren; Qi, Liqun; Wu, Ed X.
2008
On the price of anarchy for non-atomic congestion games under asymmetric cost maps and elastic demands. Zbl 1165.91311
Han, Deren; Lo, Hong K.; Yang, Hai
2008
Inexact operator splitting methods with selfadaptive strategy for variational inequality problems. Zbl 1149.49010
Han, D.
2007
On the coerciveness of some merit functions for complementarity problems over symmetric cones. Zbl 1124.49027
Han, Deren
2007
A simple self-adaptive alternating direction method for linear variational inequality problems. Zbl 1152.49302
Han, Deren; Lo, Hong K.; Wang, Zhiwei
2007
An extended alternating direction method for variational inequality problems with linear equality and inequality constraints. Zbl 1119.65059
Zhou, Zhong; Chen, Anthony; Han, Deren
2007
Solving linear variational inequality problems by a self-adaptive projection method. Zbl 1110.65057
Han, Deren
2006
A new class of projection and contraction methods for solving variational inequality problems. Zbl 1181.90258
Han, D.
2006
Exponential stability of functional differential systems with impulsive effect on random moments. Zbl 1096.34060
Wu, S. J.; Han, D.
2005
Bounding option pricing of multi-assets: a semidefinite programming approach. Zbl 1105.90056
Han, Deren; Li, Xun; Sun, Defeng; Sun, Jie
2005
Solving non-additive traffic assignment problems: a descent method for co-coercive variational inequalities. Zbl 1065.90015
Han, Deren; Lo, Hong K.
2004
Solving variational inequality problems with linear constraints by a proximal decomposition algorithm. Zbl 1036.49017
Han, Deren; Lo, Hong K.
2004
A truly globally convergent feasible Newton-type method for mixed complementarity problems. Zbl 1054.65059
Han, Deren
2004
A new hybrid generalized proximal point algorithm for variational inequality problems. Zbl 1044.65055
Han, Deren
2003
A proximal decomposition algorithm for variational inequality problems. Zbl 1041.65053
Han, Deren
2003
New decomposition methods for solving variational inequality problems. Zbl 1038.49008
Han, Deren; Sun, Wenyu
2003
A new inexact alternating directions method for monotone variational inequalities. Zbl 1009.90108
He, Bingsheng; Liao, Li-Zhi; Han, Deren; Yang, Hai
2002
Modified Goldstein–Levitin–Polyak projection method for asymmetric strongly monotone variational inequalities. Zbl 0998.65066
He, B. S.; Yang, H.; Meng, Q.; Han, D. R.
2002
Two new self-adaptive projection methods for variational inequality problems. Zbl 1012.65064
Han, Deren; Lo, Hong K.
2002
New alternating direction method for a class of nonlinear variational inequality problems. Zbl 0996.49003
Han, D. R.; Lo, H. K.
2002
A modified alternating direction method for variational inequality problems. Zbl 1098.90537
Han, D.
2002
A new stepsize rule in He and Zhou’s alternating direction method. Zbl 0995.49007
Han, Deren; Lo, Hong K.
2002
A new accuracy criterion for approximate proximal point algorithms. Zbl 0995.65062
Han, Deren; He, Bingsheng
2001
A class of nonmonotone conjugate gradient methods for unconstrained optimization. Zbl 0956.90047
Liu, G. H.; Jing, L. L.; Han, L. X.; Han, D.
1999
$$O(3,3)$$-like symmetries of coupled harmonic oscillators. Zbl 0853.70013
Han, D.; Kim, Y. S.; Noz, Marilyn E.
1995
Symmetries of two-mode squeezed states. Zbl 0792.22010
Han, D.; Kim, Y. S.; Noz, Marilyn E.; Yeh, Leehwa
1993
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#### Cited by 769 Authors

 59 Han, Deren 43 Yuan, Xiaoming 23 Bnouhachem, Abdellah 22 Qi, Liqun 20 Cai, Xingju 17 He, Bingsheng 17 He, Hongjin 16 Ceng, Lu-Chuan 15 Sun, Min 15 Zhang, Wenxing 14 Li, Min 13 Li, Chaoqian 13 Noor, Muhammad Aslam 12 Liu, Sanyang 11 Ma, Shiqian 11 Wang, Yiju 11 Yang, Qingzhi 11 Yao, Jen-Chih 10 Li, Yaotang 10 Ma, Feng 10 Zhang, Shuzhong 9 Ansari, Qamrul Hasan 9 Chen, Yannan 9 Liu, Jing 9 Sun, Wenyu 9 Tao, Min 8 Sun, Defeng 8 Wang, Kai 8 Wu, Zhongming 7 Liou, Yeongcheng 7 Toh, Kimchuan 7 Xu, Hong-Kun 7 Xu, Yi 6 Chen, Caihua 6 Huang, Zheng-Hai 6 Jia, ZeHui 6 Liao, Li-Zhi 6 Ni, Mingfang 6 Peng, Zheng 6 Shehu, Yekini 6 Shen, Yuan 6 Wang, David Z. W. 6 Xu, Lingling 6 Yan, Xihong 6 Yang, Yuning 5 Khalfaoui, Mohamed 5 Lin, Tianyi 5 Wei, Yimin 5 Yang, Hai 5 Yao, Yonghong 5 Yu, Zhanke 5 Zhang, Shougui 4 Chang, Xiaokai 4 Chen, Haibin 4 Cholamjiak, Prasit 4 Dai, Yu-Hong 4 Desai, Jitamitra 4 Dong, Xiaoliang 4 Dreves, Axel 4 Goldfarb, Donald 4 Guo, Ke 4 Kou, Xipeng 4 Li, Shengjie 4 Li, Zhibao 4 Ling, Chen 4 Liu, Qilong 4 Ma, Changfeng 4 Rassias, Themistocles Michael 4 Song, Yisheng 4 Tian, Ming 4 Wang, Xiangfeng 4 Wang, Xueyong 4 Wen, Chingfeng 4 Wu, Tingting 4 Xiao, Yibin 4 Xiao, Yunhai 4 Xu, Yangyang 4 Yang, Junfeng 4 Yin, Wotao 4 Yu, Gaohang 4 Zhang, Haibin 4 Zhang, Su 4 Zhang, Xinzhen 4 Zhaohan, Sheng 4 Zhou, Guanglu 3 Bu, Changjiang 3 Chan, Raymond Hon-Fu 3 Chen, Anthony 3 Chen, Zhongming 3 Cheng, Cao-Zong 3 Dang, Yazheng 3 Deng, Zhao 3 Ding, Weiyang 3 Dong, Qiaoli 3 Ferreira, Orizon Pereira 3 Gao, Huan 3 Ge, Zhili 3 Hamdi, Abdelouahed 3 Hou, Liusheng 3 Hu, ShengLong ...and 669 more Authors
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#### Cited in 118 Serials

 40 Computational Optimization and Applications 36 Journal of Optimization Theory and Applications 29 Applied Mathematics and Computation 27 Journal of Computational and Applied Mathematics 25 Journal of Inequalities and Applications 22 Optimization 21 Journal of Global Optimization 19 Computers & Mathematics with Applications 19 Journal of Scientific Computing 19 Numerical Algorithms 19 Journal of Industrial and Management Optimization 18 European Journal of Operational Research 15 Frontiers of Mathematics in China 13 Abstract and Applied Analysis 13 Optimization Methods & Software 13 Fixed Point Theory and Applications 12 Journal of the Operations Research Society of China 11 SIAM Journal on Optimization 11 Journal of Applied Mathematics and Computing 10 Mathematical Programming. Series A. Series B 9 Linear Algebra and its Applications 9 Optimization Letters 7 Asia-Pacific Journal of Operational Research 6 Mathematics of Computation 6 Calcolo 6 International Journal of Computer Mathematics 6 Computational and Applied Mathematics 6 Mathematical Problems in Engineering 6 SIAM Journal on Imaging Sciences 5 Journal of Mathematical Analysis and Applications 5 Linear and Multilinear Algebra 5 Applied Numerical Mathematics 5 Journal of Applied Mathematics 5 Networks and Spatial Economics 5 Journal of Fixed Point Theory and Applications 5 Science China. Mathematics 5 Numerical Algebra, Control and Optimization 4 Journal of Mathematical Imaging and Vision 4 Numerical Linear Algebra with Applications 4 Advances in Computational Mathematics 4 Mathematical Methods of Operations Research 3 Operations Research Letters 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Journal on Scientific Computing 3 Inverse Problems in Science and Engineering 3 Journal of Nonlinear Science and Applications 2 Mathematics of Operations Research 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 SIAM Journal on Numerical Analysis 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Computers & Operations Research 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Journal of Elasticity 2 Applied Mathematics. Series B (English Edition) 2 Communications in Nonlinear Science and Numerical Simulation 2 Inverse Problems and Imaging 2 Mathematical Programming Computation 2 Journal of Applied Analysis and Computation 2 East Asian Journal on Applied Mathematics 2 Journal of Nonlinear and Variational Analysis 2 SMAI Journal of Computational Mathematics 2 Electronic Research Archive 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 BIT 1 Networks 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Optimal Control Applications & Methods 1 Insurance Mathematics & Economics 1 Circuits, Systems, and Signal Processing 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Operations Research 1 Multidimensional Systems and Signal Processing 1 Neural Computation 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Pattern Recognition 1 Computational Economics 1 Journal of Inverse and Ill-Posed Problems 1 Top 1 Journal of Convex Analysis 1 Complexity 1 Vietnam Journal of Mathematics 1 Positivity 1 Soft Computing 1 Optimization and Engineering 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications ...and 18 more Serials
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#### Cited in 32 Fields

 398 Operations research, mathematical programming (90-XX) 278 Numerical analysis (65-XX) 121 Calculus of variations and optimal control; optimization (49-XX) 92 Operator theory (47-XX) 66 Linear and multilinear algebra; matrix theory (15-XX) 42 Information and communication theory, circuits (94-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Computer science (68-XX) 15 Statistics (62-XX) 13 Mechanics of deformable solids (74-XX) 10 Systems theory; control (93-XX) 7 Biology and other natural sciences (92-XX) 6 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Combinatorics (05-XX) 5 Approximations and expansions (41-XX) 4 General topology (54-XX) 4 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Convex and discrete geometry (52-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)