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Author ID: chen.xiaojun.1 Recent zbMATH articles by "Chen, Xiaojun"
Published as: Chen, Xiaojun; Chen, X.; Chen, Xiao Jun; Chen, Xiao jun.; Chen, Xiao-Jun; Chen, XiaoJun
Homepage: https://www.polyu.edu.hk/ama/staff/xjchen/ChenXJ.htm
External Links: MGP
all top 5

Co-Authors

17 single-authored
12 Qi, Liqun
11 Yamamoto, Tetsuro
9 Womersley, Robert S.
8 Fukushima, Masao
8 Xiang, Shuhuang
8 You, Zhaoyong
7 Sun, Hailin
7 Zhang, Chao
6 Bian, Wei
6 Pong, Ting Kei
5 Alefeld, Götz E.
5 Jiang, Jie
5 Kelley, Carl T.
5 Ye, Yinyu
4 Liu, Xin
4 Lu, Zhaosong
4 Sloan, Ian Hugh
4 Wang, Zhengyu
4 Wets, Roger Jean-Baptiste
4 Yuan, Ya-xiang
3 An, Congpei
3 Chen, Bintong
3 Huang, Joshua Zhexue
3 Nashed, Zuhair
3 Potra, Florian-Alexandru
3 Wang, Deren
3 Wang, Xiaozhou
3 Yang, Lei
3 Ye, Jane J.
3 Zhou, Weijun
2 Fang, Qing
2 Frommer, Andreas
2 Gao, Bin
2 Gao, Wei
2 Hashimoto, Kouji
2 Lin, Guihua
2 Mahmoud, Sayed
2 Nie, Feiping
2 Pan, Lili
2 Shapiro, Alexander
2 Shi, Yun
2 Sun, Defeng
2 Toint, Philippe Louis
2 Wang, Hong
2 Wen, Bo
2 Wu, Di
2 Wu, Shulin
2 Xiu, Naihua
2 Xu, Fengmin
2 Zeng, Xiaoming
2 Zhang, Yanfang
2 Zhang, Zaikun
2 Zhao, Ruhuai
2 Zhou, Yang
1 Bai, Baoming
1 Burke, James V.
1 Cai, Jueping
1 Chan, Cheong-ki K.
1 Chen, Xiaoshan
1 Chen, Zhiping
1 Cheng, Hao
1 Cheng, Wanyou
1 Dai, Yu-Hong
1 De Giacomo, Giuseppe
1 De Nicola, Rocco
1 Du, Jingjing
1 Du, Shouqiang
1 Fang, Haitao
1 Feng, Yuan
1 Gao, Kang
1 Ge, Dongdong
1 Guo, Lei
1 He, Fang
1 He, Yifan
1 Hong, Weijun
1 Jiang, Bo
1 Jiang, Houyuan
1 Kanzow, Christian
1 Kelly, C. T.
1 Kimura, Takuma
1 Lang, Bruno
1 Li, Chao
1 Li, Chengming
1 Li, Wen
1 Li, Zan
1 Ling, Chen
1 Liu, Jun
1 Liu, Junhao
1 Liu, Shisen
1 Liu, Tianxiang
1 Liu, Wei
1 Long, Bruno
1 Luo, Jianfeng
1 Luo, Zhen
1 Ma, Shiqian
1 Matsunaga, Nami
1 Meng, Xiang
1 Mermri, B.
1 Montangero, Carlo
1 Nashed, M. Zuhair
...and 42 more Co-Authors
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Serials

22 Mathematical Programming. Series A. Series B
22 SIAM Journal on Optimization
11 Journal of Computational and Applied Mathematics
10 SIAM Journal on Numerical Analysis
10 Computational Optimization and Applications
6 SIAM Journal on Control and Optimization
6 SIAM Journal on Scientific Computing
6 SIAM Journal on Imaging Sciences
5 Numerical Functional Analysis and Optimization
5 Numerische Mathematik
5 Journal of Computational Mathematics
4 Mathematics of Computation
4 Journal of Optimization Theory and Applications
4 Mathematics of Operations Research
3 IMA Journal of Numerical Analysis
3 Numerical Mathematics
2 Information Sciences
2 Mathematica Numerica Sinica
2 Journal of Xi’an Jiaotong University
2 Journal of Chengdu University of Science and Technology
2 Linear Algebra and its Applications
2 Kexue Tongbao
2 Numerical Linear Algebra with Applications
2 Optimization Methods & Software
2 RIMS Kokyuroku
2 IEEE Transactions on Image Processing
1 Acta Informatica
1 Artificial Intelligence
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 The Computer Journal. Section A / Section B
1 Computing
1 Journal of the Operations Research Society of Japan
1 Optimization
1 Japan Journal of Applied Mathematics
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Scientific Computing
1 Signal Processing
1 Annals of Operations Research
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Global Optimization
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Pattern Recognition
1 International Journal of Computer Vision
1 Optimization and Engineering
1 Science in China. Series F
1 Pacific Journal of Optimization
1 Journal of Changsha University of Science & Technology. Natural Science
1 Computing Supplementum
1 Set-Valued and Variational Analysis
1 Science China. Mathematics
1 Science China. Information Sciences
1 Numerical Algebra, Control and Optimization
1 Journal of the Operations Research Society of China
1 SIAM Journal on Mathematics of Data Science

Publications by Year

Citations contained in zbMATH Open

143 Publications have been cited 2,841 times in 1,643 Documents Cited by Year
Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Zbl 0894.90143
Chen, X.; Qi, L.; Sun, D.
143
1998
Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174
Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu
111
2010
Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527
Chen, Xiaojun; Fukushima, Masao
110
2005
Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
108
2000
Convergence of Newton-like methods for singular operator equations using outer inverses. Zbl 0797.65047
Nashed, M. Z.; Chen, X.
100
1993
Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043
Chen, Xiaojun; Xiang, Shuhuang
82
2006
Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012
Chen, Xiaojun; Zhang, Chao; Fukushima, Masao
80
2009
Convergence domains of certain iterative methods for solving nonlinear equations. Zbl 0645.65028
Chen, Xiaojun; Yamamoto, Tetsuro
75
1989
A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062
Chen, Bintong; Chen, Xiaojun; Kanzow, Christian
71
2000
Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098
Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang
66
2012
Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031
Chen, Xiaojun; Zhou, Weijun
65
2010
Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028
Chen, Xiaojun; Wang, Zhengyu
63
2014
Complexity of unconstrained \(L_2 - L_p\) minimization. Zbl 1285.90039
Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu
62
2014
Stochastic \(R_0\) matrix linear complementarity problems. Zbl 1151.90052
Fang, Haitao; Chen, Xiaojun; Fukushima, Masao
58
2007
Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018
Chen, Xiaojun; Xiang, Shuhuang
57
2007
A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
56
2018
Non-Lipschitz \(\ell_p\)-regularization and box constrained model for image restoration. Zbl 1373.94080
Chen, Xiaojun; Ng, Michael K.; Zhang, Chao
52
2012
Alternating direction method of multipliers for a class of nonconvex and nonsmooth problems with applications to background/foreground extraction. Zbl 1364.90278
Yang, Lei; Pong, Ting Kei; Chen, Xiaojun
49
2017
Error bounds for approximation in Chebyshev points. Zbl 1201.65040
Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong
48
2010
Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075
Bian, Wei; Chen, Xiaojun; Ye, Yinyu
47
2015
Linear convergence of proximal gradient algorithm with extrapolation for a class of nonconvex nonsmooth minimization problems. Zbl 1359.90138
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
47
2017
On homotopy-smoothing methods for box-constrained variational inequalities. Zbl 0973.65051
Chen, Xiaojun; Ye, Yinyu
42
1999
Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238
Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang
42
2013
Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055
Chen, Xiaojun; Wang, Zhengyu
41
2013
Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073
Zhang, Chao; Chen, Xiaojun
40
2009
A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109
Qi, Liqun; Chen, Xiaojun
38
1995
Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. Zbl 1326.90062
Chen, Xiaojun; Zhou, Weijun
38
2014
Proximal quasi-Newton methods for nondifferentiable convex optimization. Zbl 0946.90111
Chen, Xiaojun; Fukushima, Masao
37
1999
Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157
Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B.
37
2017
A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029
Chen, Xiaojun; Qi, Liqun
36
1994
Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182
Chen, Xiaojun; Sun, Hailin; Xu, Huifu
35
2019
Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299
Bian, Wei; Chen, Xiaojun
34
2015
Smoothing methods for complementarity problems and their applications: A survey. Zbl 0998.90078
Chen, Xiaojun
31
2000
Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134
Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin
31
2019
Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034
Zhang, C.; Chen, X.
30
2008
Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035
Chen, Xiaojun; Womersley, Robert S.
29
2006
Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181
Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei
29
2016
New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455
Lin, Guihua; Chen, Xiaojun; Fukushima, Masao
28
2007
Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175
Bian, Wei; Chen, Xiaojun
27
2013
A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171
Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang
26
2018
Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. Zbl 1168.90008
Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao
26
2009
Computational existence proofs for spherical \(t\)-designs. Zbl 1208.65032
Chen, Xiaojun; Frommer, Andreas; Lang, Bruno
24
2011
Convergence of Newton’s method for singular smooth and nonsmooth equations using adaptive outer inverses. Zbl 0871.65047
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
24
1997
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066
Chen, Xiaojun; Xiang, Shuhuang
24
2013
On preconditioned Uzawa methods and SOR methods for saddle-point problems. Zbl 0935.65055
Chen, Xiaojun
23
1998
Newton’s method for quadratic stochastic programs with recourse. Zbl 0836.65078
Chen, Xiaojun; Qi, Liqun; Womersley, Robert S.
21
1995
NT \(>\) NCP or monotone NCP. Zbl 0955.90132
Chen, Bintong; Chen, Xiaojun
20
1999
Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations. Zbl 0881.65042
Chen, Xiaojun
20
1997
An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119
Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J.
20
2017
Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
19
2012
Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
19
2010
A smoothing method for a mathematical program with P-matrix linear complementarity constraints. Zbl 1046.90086
Chen, Xiaojun; Fukushima, Masao
19
2004
Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167
Bian, Wei; Chen, Xiaojun
18
2017
On smoothing methods for the \(P_{0}\) matrix linear complementarity problem. Zbl 0994.65077
Chen, Xiaojun; Ye, Yinyu
17
2000
Convergence of the BFGS method for \(LC^ 1\) convex constrained optimization. Zbl 0871.90062
Chen, Xiaojun
17
1996
Minimizing the condition number of a Gram matrix. Zbl 1220.65055
Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J.
17
2011
A verification method for solutions of nonsmooth equations. Zbl 0882.65038
Chen, Xiaojun
15
1997
Sparse solutions of linear complementarity problems. Zbl 1346.90776
Chen, Xiaojun; Xiang, Shuhuang
15
2016
A global linear and local quadratic continuation smoothing method for variational inequalities with box constraints. Zbl 0987.90079
Chen, Bintong; Chen, Xiaojun
14
2000
An SQP-type method and its application in stochastic programs. Zbl 1030.90142
Wei, Z.; Qi, L.; Chen, X.
14
2003
CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149
Chen, Xiaojun; Lin, Guihua
12
2011
Random test problems and parallel methods for quadratic programs and quadratic stochastic programs. Zbl 0980.90060
Chen, Xiaojun; Womersley, Robert S.
12
2000
Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108
Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun
12
2001
A preconditioning proximal Newton method for nondifferentiable convex optimization. Zbl 0871.90065
Qi, Liqun; Chen, Xiaojun
12
1997
Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 1474.91008
Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun
12
2019
Two-stage stochastic variational inequalities: theory, algorithms and applications. Zbl 1474.90484
Sun, Hai-Lin; Chen, Xiao-Jun
12
2021
Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131
Zhou, Weijun; Chen, Xiaojun
11
2010
Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072
Alefeld, G. E.; Chen, X.; Potra, F. A.
11
1999
A parallel inexact Newton method for stochastic programs with recourse. Zbl 0854.90106
Chen, Xiaojun; Womersley, Robert S.
11
1996
A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015
Alefeld, Goetz; Chen, Xiaojun
11
2008
Global and superlinear convergence of inexact Uzawa methods for saddle point problems with nondifferentiable mappings. Zbl 0916.65070
Chen, Xiaojun
10
1998
Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations. Zbl 0699.65042
Yamamoto, Tetsuro; Chen, Xiaojun
10
1990
Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119
Chen, Xiaojun; Kelley, C. T.
10
2016
A smoothing active set method for linearly constrained non-Lipschitz nonconvex optimization. Zbl 07154031
Zhang, Chao; Chen, Xiaojun
10
2020
Structural reliability analysis with imprecise random and interval fields. Zbl 1480.74297
Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis
10
2018
A feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162
Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue
9
2012
Computational error bounds for a differential linear variational inequality. Zbl 1256.65066
Chen, Xiaojun; Wang, Zhengyu
9
2012
Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138
Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B.
9
2015
Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117
Jiang, Jie; Chen, Xiaojun; Chen, Zhiping
9
2020
Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. Zbl 1401.90167
Chen, Xiaojun; Womersley, Robert S.
9
2018
Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. Zbl 0823.65048
Chen, Xiaojun; Yamamoto, Tetsuro
8
1994
Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183
Chen, Xiaojun; Xiang, Shuhuang
8
2011
Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations. Zbl 0991.90123
Jiang, Houyuan; Qi, Liqun; Chen, Xiaojun; Sun, Defeng
8
1996
Lagrangian globalization methods for nonlinear complementarity problems. Zbl 1049.90098
Chen, X.; Qi, L.; Yang, Y. F.
8
2002
First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025
Chen, Xiaojun
8
2004
An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations. Zbl 0695.65032
Yamamoto, Tetsuro; Chen, Xiaojun
8
1990
Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121
Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T.
8
2015
Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046
Alefeld, G. E.; Chen, X.; Potra, F. A.
8
2002
Anderson acceleration for a class of nonsmooth fixed-point problems. Zbl 1490.65093
Bian, Wei; Chen, Xiaojun; Kelly, C. T.
8
2021
Group sparse optimization for images recovery using capped folded concave functions. Zbl 1474.90507
Pan, Lili; Chen, Xiaojun
8
2021
Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318
Chen, Xiaojun; Toint, Ph. L.; Wang, H.
8
2019
Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068
Chen, Xiaojun; Hashimoto, Kouji
7
2003
A smoothing direct search method for Monte Carlo-based bound constrained composite nonsmooth optimization. Zbl 1461.65138
Chen, Xiaojun; Kelley, C. T.; Xu, Fengmin; Zhang, Zaikun
7
2018
The subdifferential of measurable composite max integrands and smoothing approximation. Zbl 1477.90044
Burke, James V.; Chen, Xiaojun; Sun, Hailin
7
2020
Convergence of the EDIIS algorithm for nonlinear equations. Zbl 1408.65030
Chen, Xiaojun; Kelley, C. T.
7
2019
Global error bounds for the extended vertical LCP. Zbl 1233.90267
Zhang, Chao; Chen, Xiaojun; Xiu, Naihua
6
2009
Regularizations for stochastic linear variational inequalities. Zbl 1342.90209
Zhang, Yanfang; Chen, Xiaojun
6
2014
Machine learning aided phase field method for fracture mechanics. Zbl 07444795
Feng, Yuan; Wang, Qihan; Wu, Di; Luo, Zhen; Chen, Xiaojun; Zhang, Tianyu; Gao, Wei
6
2021
An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems. Zbl 1464.65066
Liu, Tianxiang; Lu, Zhaosong; Chen, Xiaojun; Dai, Yu-Hong
6
2020
Computational formula of depth for Catmull-Clark subdivision surfaces. Zbl 1097.65029
Zeng, Xiao-Ming; Chen, X. J.
5
2006
Solution sets of three sparse optimization problems for multivariate regression. Zbl 07762761
Chen, Xiaojun; Pan, Lili; Xiu, Naihua
2
2023
Pure characteristics demand models and distributionally robust mathematical programs with stochastic complementarity constraints. Zbl 1515.90084
Jiang, Jie; Chen, Xiaojun
1
2023
Distributionally robust stochastic variational inequalities. Zbl 1519.90245
Sun, Hailin; Shapiro, Alexander; Chen, Xiaojun
1
2023
Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere. Zbl 1527.90177
Li, Chao; Chen, Xiaojun
1
2022
Dynamic stochastic variational inequalities and convergence of discrete approximation. Zbl 1508.90109
Chen, Xiaojun; Shen, Jinglai
1
2022
Sparse solutions of a class of constrained optimization problems. Zbl 1501.90078
Yang, Lei; Chen, Xiaojun; Xiang, Shuhuang
1
2022
Anderson acceleration for nonsmooth fixed point problems. Zbl 1503.65102
Bian, Wei; Chen, Xiaojun
1
2022
Two-stage stochastic variational inequalities: theory, algorithms and applications. Zbl 1474.90484
Sun, Hai-Lin; Chen, Xiao-Jun
12
2021
Anderson acceleration for a class of nonsmooth fixed-point problems. Zbl 1490.65093
Bian, Wei; Chen, Xiaojun; Kelly, C. T.
8
2021
Group sparse optimization for images recovery using capped folded concave functions. Zbl 1474.90507
Pan, Lili; Chen, Xiaojun
8
2021
Machine learning aided phase field method for fracture mechanics. Zbl 07444795
Feng, Yuan; Wang, Qihan; Wu, Di; Luo, Zhen; Chen, Xiaojun; Zhang, Tianyu; Gao, Wei
6
2021
Mathematical programs with complementarity constraints and a non-Lipschitz objective: optimality and approximation. Zbl 1480.90240
Guo, Lei; Chen, Xiaojun
5
2021
High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. Zbl 1465.90095
Chen, X.; Toint, Ph. L.
3
2021
Adaptive discriminant analysis for semi-supervised feature selection. Zbl 1527.68203
Zhong, Weichan; Chen, Xiaojun; Nie, Feiping; Huang, Joshua Zhexue
2
2021
A penalty relaxation method for image processing using Euler’s elastica model. Zbl 1524.68421
He, Fang; Wang, Xiao; Chen, Xiaojun
1
2021
A smoothing active set method for linearly constrained non-Lipschitz nonconvex optimization. Zbl 07154031
Zhang, Chao; Chen, Xiaojun
10
2020
Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117
Jiang, Jie; Chen, Xiaojun; Chen, Zhiping
9
2020
The subdifferential of measurable composite max integrands and smoothing approximation. Zbl 1477.90044
Burke, James V.; Chen, Xiaojun; Sun, Hailin
7
2020
An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems. Zbl 1464.65066
Liu, Tianxiang; Lu, Zhaosong; Chen, Xiaojun; Dai, Yu-Hong
6
2020
A Gauss-Seidel type method for dynamic nonlinear complementarity problems. Zbl 1454.65044
Wu, Shu-Lin; Zhou, Tao; Chen, Xiaojun
5
2020
Computation of second-order directional stationary points for group sparse optimization. Zbl 1428.90138
Peng, Dingtao; Chen, Xiaojun
3
2020
The Shortley-Weller scheme for variable coefficient two-point boundary value problems and its application to tumor growth problem with heterogeneous microenvironment. Zbl 1436.65160
Sweidan, Mohyeedden; Chen, Xiaojun; Zheng, Xiaoming
2
2020
Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182
Chen, Xiaojun; Sun, Hailin; Xu, Huifu
35
2019
Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134
Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin
31
2019
Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 1474.91008
Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun
12
2019
Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318
Chen, Xiaojun; Toint, Ph. L.; Wang, H.
8
2019
Convergence of the EDIIS algorithm for nonlinear equations. Zbl 1408.65030
Chen, Xiaojun; Kelley, C. T.
7
2019
A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
56
2018
A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171
Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang
26
2018
Structural reliability analysis with imprecise random and interval fields. Zbl 1480.74297
Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis
10
2018
Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. Zbl 1401.90167
Chen, Xiaojun; Womersley, Robert S.
9
2018
A smoothing direct search method for Monte Carlo-based bound constrained composite nonsmooth optimization. Zbl 1461.65138
Chen, Xiaojun; Kelley, C. T.; Xu, Fengmin; Zhang, Zaikun
7
2018
Spherical \(t_\epsilon\)-designs for approximations on the sphere. Zbl 06912357
Zhou, Yang; Chen, Xiaojun
5
2018
A nonmonotone alternating updating method for a class of matrix factorization problems. Zbl 1411.90283
Yang, Lei; Pong, Ting Kei; Chen, Xiaojun
5
2018
An exponential integrator-based discontinuous Galerkin method for linear complementarity systems. Zbl 1460.65086
Wang, Zhengyu; Chen, Xiaojun
1
2018
Alternating direction method of multipliers for a class of nonconvex and nonsmooth problems with applications to background/foreground extraction. Zbl 1364.90278
Yang, Lei; Pong, Ting Kei; Chen, Xiaojun
49
2017
Linear convergence of proximal gradient algorithm with extrapolation for a class of nonconvex nonsmooth minimization problems. Zbl 1359.90138
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
47
2017
Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157
Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B.
37
2017
An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119
Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J.
20
2017
Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167
Bian, Wei; Chen, Xiaojun
18
2017
SAA-regularized methods for multiproduct price optimization under the pure characteristics demand model. Zbl 1375.90233
Sun, Hailin; Su, Che-Lin; Chen, Xiaojun
5
2017
Preface. Zbl 1378.00102
4
2017
A parallel iterative algorithm for differential linear complementarity problems. Zbl 1379.65050
Wu, Shu-Lin; Chen, Xiaojun
2
2017
Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181
Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei
29
2016
Sparse solutions of linear complementarity problems. Zbl 1346.90776
Chen, Xiaojun; Xiang, Shuhuang
15
2016
Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119
Chen, Xiaojun; Kelley, C. T.
10
2016
A smoothing trust region filter algorithm for nonsmooth least squares problems. Zbl 1338.90313
Chen, XiaoJun; Du, ShouQiang; Zhou, Yang
4
2016
Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075
Bian, Wei; Chen, Xiaojun; Ye, Yinyu
47
2015
Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299
Bian, Wei; Chen, Xiaojun
34
2015
Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138
Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B.
9
2015
Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121
Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T.
8
2015
Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028
Chen, Xiaojun; Wang, Zhengyu
63
2014
Complexity of unconstrained \(L_2 - L_p\) minimization. Zbl 1285.90039
Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu
62
2014
Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. Zbl 1326.90062
Chen, Xiaojun; Zhou, Weijun
38
2014
Regularizations for stochastic linear variational inequalities. Zbl 1342.90209
Zhang, Yanfang; Chen, Xiaojun
6
2014
Corrigendum: “Regularized least squares approximations on the sphere using spherical designs”. Zbl 1304.65114
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
1
2014
Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238
Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang
42
2013
Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055
Chen, Xiaojun; Wang, Zhengyu
41
2013
Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175
Bian, Wei; Chen, Xiaojun
27
2013
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066
Chen, Xiaojun; Xiang, Shuhuang
24
2013
Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098
Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang
66
2012
Non-Lipschitz \(\ell_p\)-regularization and box constrained model for image restoration. Zbl 1373.94080
Chen, Xiaojun; Ng, Michael K.; Zhang, Chao
52
2012
Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
19
2012
A feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162
Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue
9
2012
Computational error bounds for a differential linear variational inequality. Zbl 1256.65066
Chen, Xiaojun; Wang, Zhengyu
9
2012
Structured backward errors for generalized saddle point systems. Zbl 1256.65026
Chen, Xiao Shan; Li, Wen; Chen, Xiaojun; Liu, Jun
3
2012
Computational existence proofs for spherical \(t\)-designs. Zbl 1208.65032
Chen, Xiaojun; Frommer, Andreas; Lang, Bruno
24
2011
Minimizing the condition number of a Gram matrix. Zbl 1220.65055
Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J.
17
2011
CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149
Chen, Xiaojun; Lin, Guihua
12
2011
Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183
Chen, Xiaojun; Xiang, Shuhuang
8
2011
Computation of generalized differentials in nonlinear complementarity problems. Zbl 1261.90066
Xiang, Shuhuang; Chen, Xiaojun
2
2011
A new complexity metric for FH/SS sequences using fuzzy entropy. Zbl 1267.94002
Chen, Xiaojun; Si, Jiangbo; Li, Zan; Cai, Jueping; Bai, Baoming
1
2011
Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174
Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu
111
2010
Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031
Chen, Xiaojun; Zhou, Weijun
65
2010
Error bounds for approximation in Chebyshev points. Zbl 1201.65040
Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong
48
2010
Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
19
2010
Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131
Zhou, Weijun; Chen, Xiaojun
11
2010
Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012
Chen, Xiaojun; Zhang, Chao; Fukushima, Masao
80
2009
Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073
Zhang, Chao; Chen, Xiaojun
40
2009
Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. Zbl 1168.90008
Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao
26
2009
Global error bounds for the extended vertical LCP. Zbl 1233.90267
Zhang, Chao; Chen, Xiaojun; Xiu, Naihua
6
2009
A class of quadratic programs with linear complementarity constraints. Zbl 1191.90042
Chen, Xiaojun; Ye, Jane J.
4
2009
Validated solutions of saddle point linear systems. Zbl 1176.65031
Kimura, Takuma; Chen, Xiaojun
4
2009
Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034
Zhang, C.; Chen, X.
30
2008
A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015
Alefeld, Goetz; Chen, Xiaojun
11
2008
Implicit Runge-Kutta methods for Lipschitz continuous ordinary differential equations. Zbl 1170.65062
Chen, Xiaojun; Mahmoud, Sayed
3
2008
A verified inexact implicit Runge-Kutta method for nonsmooth ODEs. Zbl 1147.65057
Mahmoud, Sayed; Chen, Xiaojun
2
2008
Stochastic \(R_0\) matrix linear complementarity problems. Zbl 1151.90052
Fang, Haitao; Chen, Xiaojun; Fukushima, Masao
58
2007
Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018
Chen, Xiaojun; Xiang, Shuhuang
57
2007
New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455
Lin, Guihua; Chen, Xiaojun; Fukushima, Masao
28
2007
Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043
Chen, Xiaojun; Xiang, Shuhuang
82
2006
Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035
Chen, Xiaojun; Womersley, Robert S.
29
2006
Computational formula of depth for Catmull-Clark subdivision surfaces. Zbl 1097.65029
Zeng, Xiao-Ming; Chen, X. J.
5
2006
Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527
Chen, Xiaojun; Fukushima, Masao
110
2005
Finite difference smoothing solutions of nonsmooth constrained optimal control problems. Zbl 1062.49023
Chen, Xiaojun
1
2005
A smoothing method for a mathematical program with P-matrix linear complementarity constraints. Zbl 1046.90086
Chen, Xiaojun; Fukushima, Masao
19
2004
First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025
Chen, Xiaojun
8
2004
An SQP-type method and its application in stochastic programs. Zbl 1030.90142
Wei, Z.; Qi, L.; Chen, X.
14
2003
Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068
Chen, Xiaojun; Hashimoto, Kouji
7
2003
On characterizations and regularity of the solution of bilateral obstacle problems. Zbl 1021.65032
Mermri, B.; Chen, X.
3
2003
...and 43 more Documents
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Cited by 2,040 Authors

69 Chen, Xiaojun
64 Argyros, Ioannis Konstantinos
35 Qi, Liqun
32 Xiang, Shuhuang
25 Hilout, Saïd
25 Ma, Changfeng
23 Huang, Zheng-Hai
20 Xiu, Naihua
19 Zeng, Shengda
17 Huang, Nan-Jing
17 Lin, Guihua
17 Liu, Zhenhai
17 Wu, Chunlin
16 Du, Shouqiang
16 Fukushima, Masao
16 Li, Chaoqian
15 Wei, Yimin
14 Sun, Zhe
14 Xu, Huifu
13 Lu, Zhaosong
13 Pong, Ting Kei
13 Womersley, Robert S.
13 Ye, Jane J.
12 Bian, Wei
12 Jiang, Jie
12 Li, Yaotang
12 Luo, Meiju
12 Shanbhag, Uday V.
12 Sun, Defeng
12 Zhang, Liwei
11 Gao, Lei
11 Li, Donghui
11 Pan, Shaohua
11 Pang, Jong-Shi
11 Peña, Juan Manuel
11 Śmietański, Marek J.
11 Zhang, Jin
10 Liu, Hongwei
10 Ma, Jipu
10 Sun, Hailin
10 Wang, Zhengyu
10 Yamamoto, Tetsuro
9 Chen, Jein-Shan
9 Chen, Zhiping
9 Kong, Lingchen
9 Li, Shengjie
9 Sloan, Ian Hugh
9 Wei, Zengxin
9 Yuan, Ya-xiang
9 Zhang, Chao
8 Gao, Yan
8 Garcia Esnaola, Marta
8 Han, Deren
8 Huang, Qianglian
8 Huang, Yakui
8 Kelley, Carl T.
8 Li, Wen
8 Luo, ZiYan
8 Migórski, Stanisław
8 Sun, Jie
8 Wu, Lei
8 Wu, Zhongming
8 Yu, Bo
8 Yuan, Gonglin
7 Alefeld, Götz E.
7 Dai, Pingfan
7 Fang, Qing
7 Fang, Shu-Cherng
7 Hintermüller, Michael
7 Huang, Na
7 Jiao, Yuling
7 Li, Guoyin
7 Li, Qian
7 Li, Xiangli
7 Liu, Guidong
7 Liu, Xin
7 Lu, Xiliang
7 Martínez, José Mario
7 Nguyen Van Thien
7 Peng, Dingtao
7 Raciti, Fabio
7 Toint, Philippe Louis
7 Wen, Zaiwen
7 Xu, Fengmin
7 Ye, Yinyu
7 Zeng, Jinping
6 Brogliato, Bernard
6 Chen, Tao
6 Han, Jiye
6 Hesse, Kerstin
6 Jian, Jinbao
6 Jiang, Bo
6 Kanzow, Christian
6 Ketabchi, Saeed
6 Li, Yufan
6 Li, Zi-Cai
6 Liu, Hongcheng
6 Liu, Yongchao
6 Lou, Yifei
6 Mehlitz, Patrick
...and 1,940 more Authors
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Cited in 228 Serials

97 Journal of Computational and Applied Mathematics
92 Computational Optimization and Applications
90 Applied Mathematics and Computation
78 Journal of Optimization Theory and Applications
75 Mathematical Programming. Series A. Series B
65 SIAM Journal on Optimization
63 Numerical Algorithms
45 Journal of Global Optimization
38 Journal of Scientific Computing
37 Numerical Functional Analysis and Optimization
34 Journal of Industrial and Management Optimization
29 Optimization Methods & Software
24 Optimization Letters
23 Computers & Mathematics with Applications
23 Optimization
20 SIAM Journal on Scientific Computing
19 Mathematical Problems in Engineering
19 Journal of Applied Mathematics and Computing
18 Linear Algebra and its Applications
18 Computational and Applied Mathematics
18 Journal of Inequalities and Applications
18 SIAM Journal on Imaging Sciences
17 Applied Numerical Mathematics
16 Mathematics of Computation
15 International Journal of Computer Mathematics
14 Numerische Mathematik
13 Inverse Problems
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 European Journal of Operational Research
11 Journal of Mathematical Analysis and Applications
11 Linear and Multilinear Algebra
11 Applied Mathematics Letters
11 Advances in Computational Mathematics
11 Science China. Mathematics
10 Mathematics of Operations Research
10 SIAM Journal on Numerical Analysis
10 Journal of Complexity
10 Set-Valued and Variational Analysis
9 SIAM Journal on Control and Optimization
9 Operations Research Letters
9 Asia-Pacific Journal of Operational Research
9 Annals of Operations Research
9 Journal of the Operations Research Society of China
8 Acta Mathematicae Applicatae Sinica. English Series
8 Applications of Mathematics
8 Applied Mathematical Modelling
8 Abstract and Applied Analysis
7 Applicable Analysis
7 Calcolo
7 Computing
7 Mathematical Methods of Operations Research
7 Optimization and Engineering
7 Journal of Applied Mathematics
7 Inverse Problems and Imaging
7 Numerical Algebra, Control and Optimization
6 Applied Mathematics and Optimization
6 Information Sciences
6 Neural Networks
6 Japan Journal of Industrial and Applied Mathematics
6 Applied and Computational Harmonic Analysis
6 Numerical Linear Algebra with Applications
5 Science in China. Series A
5 Journal of Convex Analysis
5 Acta Mathematica Sinica. English Series
5 Communications in Nonlinear Science and Numerical Simulation
5 Nonlinear Analysis. Real World Applications
5 Journal of Machine Learning Research (JMLR)
5 Journal of Nonlinear Science and Applications
4 Journal of the Franklin Institute
4 BIT
4 Journal of Approximation Theory
4 Mathematics and Computers in Simulation
4 Bulletin of the Iranian Mathematical Society
4 Pattern Recognition
4 Journal of Mathematical Imaging and Vision
4 Applied Mathematics. Series B (English Edition)
4 Journal of Combinatorial Optimization
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Open Mathematics
4 Journal of Nonlinear and Variational Analysis
3 Journal of Computational Physics
3 Mathematical Methods in the Applied Sciences
3 Fuzzy Sets and Systems
3 Computers & Operations Research
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Matrix Analysis and Applications
3 Communications in Statistics. Theory and Methods
3 Filomat
3 International Transactions in Operational Research
3 INFORMS Journal on Computing
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Multibody System Dynamics
3 The ANZIAM Journal
3 Foundations of Computational Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Analysis in Theory and Applications
3 Mediterranean Journal of Mathematics
3 Frontiers of Mathematics in China
3 Mathematical Programming Computation
3 EURO Journal on Computational Optimization
...and 128 more Serials
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Cited in 54 Fields

1,010 Operations research, mathematical programming (90-XX)
891 Numerical analysis (65-XX)
311 Calculus of variations and optimal control; optimization (49-XX)
167 Operator theory (47-XX)
109 Linear and multilinear algebra; matrix theory (15-XX)
75 Information and communication theory, circuits (94-XX)
72 Partial differential equations (35-XX)
68 Computer science (68-XX)
56 Statistics (62-XX)
53 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
48 Approximations and expansions (41-XX)
40 Mechanics of deformable solids (74-XX)
35 Ordinary differential equations (34-XX)
29 Probability theory and stochastic processes (60-XX)
24 Integral equations (45-XX)
23 Systems theory; control (93-XX)
18 Real functions (26-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
17 Functional analysis (46-XX)
16 Global analysis, analysis on manifolds (58-XX)
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12 Biology and other natural sciences (92-XX)
11 Combinatorics (05-XX)
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5 Number theory (11-XX)
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4 Quantum theory (81-XX)
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3 Mathematical logic and foundations (03-XX)
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3 Differential geometry (53-XX)
2 Field theory and polynomials (12-XX)
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