Edit Profile (opens in new tab) Chen, Xiaojun Co-Author Distance Author ID: chen.xiaojun.1 Published as: Chen, Xiaojun; Chen, X.; Chen, Xiao Jun; Chen, Xiao jun.; Chen, Xiao-Jun; Chen, XiaoJun more...less Homepage: https://www.polyu.edu.hk/ama/staff/xjchen/ChenXJ.htm External Links: MGP Documents Indexed: 191 Publications since 1981, including 10 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 101 Co-Authors with 147 Joint Publications 3,981 Co-Co-Authors 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 all top 5 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 all top 5 Fields 117 Operations research, mathematical programming (90-XX) 111 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 12 Computer science (68-XX) 9 Information and communication theory, circuits (94-XX) 7 Partial differential equations (35-XX) 7 Operator theory (47-XX) 6 Approximations and expansions (41-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 4 Statistics (62-XX) 3 Ordinary differential equations (34-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) 12 Special functions (33-XX) 12 Biology and other natural sciences (92-XX) 11 Combinatorics (05-XX) 11 Fluid mechanics (76-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Convex and discrete geometry (52-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Number theory (11-XX) 5 Mechanics of particles and systems (70-XX) 4 General topology (54-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 4 Geophysics (86-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year