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: 181 Publications since 1981 5 Contributions as Editor Co-Authors: 100 Co-Authors with 144 Joint Publications 3,909 Co-Co-Authors all top 5 Co-Authors 16 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 Ye, Yinyu 4 Kelley, Carl T. 4 Lu, Zhaosong 4 Sloan, Ian Hugh 4 Wang, Zhengyu 4 Wets, Roger Jean-Baptiste 3 An, Congpei 3 Chen, Bintong 3 Huang, Joshua Zhexue 3 Liu, Xin 3 Nashed, Zuhair 3 Potra, Florian-Alexandru 3 Wang, Deren 3 Yang, Lei 3 Ye, Jane J. 3 Yuan, Ya-xiang 3 Zhou, Weijun 2 Fang, Qing 2 Frommer, Andreas 2 Gao, Wei 2 Hashimoto, Kouji 2 Jiang, Jie 2 Lin, Guihua 2 Mahmoud, Sayed 2 Nie, Feiping 2 Pan, Lili 2 Shapiro, Alexander 2 Sun, Defeng 2 Toint, Philippe Louis 2 Wang, Hong 2 Wang, Xiaozhou 2 Wen, Bo 2 Wu, Di 2 Wu, Shulin 2 Xiu, Naihua 2 Xu, Fengmin 2 Zeng, Xiaoming 2 Zhang, Yanfang 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, Bin 1 Gao, Kang 1 Ge, Dongdong 1 Guo, Lei 1 He, Fang 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 Matsunaga, Nami 1 Meng, Xiang 1 Mermri, B. 1 Montangero, Carlo 1 Nashed, M. Zuhair 1 Ng, Michael Kwok-Po 1 Niu, Lingfeng 1 Peng, Dingtao 1 Rogers, Colin ...and 39 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 114 Operations research, mathematical programming (90-XX) 109 Numerical analysis (65-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 11 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) 3 Biology and other natural sciences (92-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) 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 137 Publications have been cited 2,663 times in 1,549 Documents Cited by ▼ Year ▼ Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Zbl 0894.90143Chen, X.; Qi, L.; Sun, D. 142 1998 Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu 109 2010 Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527Chen, Xiaojun; Fukushima, Masao 106 2005 Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun 105 2000 Convergence of Newton-like methods for singular operator equations using outer inverses. Zbl 0797.65047Nashed, M. Z.; Chen, X. 100 1993 Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012Chen, Xiaojun; Zhang, Chao; Fukushima, Masao 80 2009 Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043Chen, Xiaojun; Xiang, Shuhuang 78 2006 Convergence domains of certain iterative methods for solving nonlinear equations. Zbl 0645.65028Chen, Xiaojun; Yamamoto, Tetsuro 75 1989 A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062Chen, Bintong; Chen, Xiaojun; Kanzow, Christian 70 2000 Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031Chen, Xiaojun; Zhou, Weijun 62 2010 Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028Chen, Xiaojun; Wang, Zhengyu 59 2014 Stochastic \(R_0\) matrix linear complementarity problems. Zbl 1151.90052Fang, Haitao; Chen, Xiaojun; Fukushima, Masao 58 2007 Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang 58 2012 Complexity of unconstrained \(L_2 - L_p\) minimization. Zbl 1285.90039Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu 56 2014 Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018Chen, Xiaojun; Xiang, Shuhuang 52 2007 Non-Lipschitz \(\ell_p\)-regularization and box constrained model for image restoration. Zbl 1373.94080Chen, Xiaojun; Ng, Michael K.; Zhang, Chao 47 2012 Alternating direction method of multipliers for a class of nonconvex and nonsmooth problems with applications to background/foreground extraction. Zbl 1364.90278Yang, Lei; Pong, Ting Kei; Chen, Xiaojun 47 2017 Error bounds for approximation in Chebyshev points. Zbl 1201.65040Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong 46 2010 Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075Bian, Wei; Chen, Xiaojun; Ye, Yinyu 44 2015 A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175Wen, Bo; Chen, Xiaojun; Pong, Ting Kei 44 2018 On homotopy-smoothing methods for box-constrained variational inequalities. Zbl 0973.65051Chen, Xiaojun; Ye, Yinyu 42 1999 Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055Chen, Xiaojun; Wang, Zhengyu 40 2013 Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073Zhang, Chao; Chen, Xiaojun 38 2009 A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109Qi, Liqun; Chen, Xiaojun 38 1995 Linear convergence of proximal gradient algorithm with extrapolation for a class of nonconvex nonsmooth minimization problems. Zbl 1359.90138Wen, Bo; Chen, Xiaojun; Pong, Ting Kei 38 2017 Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang 38 2013 A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029Chen, Xiaojun; Qi, Liqun 36 1994 Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. Zbl 1326.90062Chen, Xiaojun; Zhou, Weijun 35 2014 Proximal quasi-Newton methods for nondifferentiable convex optimization. Zbl 0946.90111Chen, Xiaojun; Fukushima, Masao 34 1999 Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B. 33 2017 Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299Bian, Wei; Chen, Xiaojun 32 2015 Smoothing methods for complementarity problems and their applications: A survey. Zbl 0998.90078Chen, Xiaojun 31 2000 Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182Chen, Xiaojun; Sun, Hailin; Xu, Huifu 31 2019 Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034Zhang, Chao; Chen, X. 30 2008 New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455Lin, Guihua; Chen, Xiaojun; Fukushima, Masao 28 2007 Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035Chen, Xiaojun; Womersley, Robert S. 26 2006 Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175Bian, Wei; Chen, Xiaojun 26 2013 Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin 25 2019 Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei 25 2016 Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. Zbl 1168.90008Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao 24 2009 Convergence of Newton’s method for singular smooth and nonsmooth equations using adaptive outer inverses. Zbl 0871.65047Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun 24 1997 Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066Chen, Xiaojun; Xiang, Shuhuang 23 2013 Computational existence proofs for spherical \(t\)-designs. Zbl 1208.65032Chen, Xiaojun; Frommer, Andreas; Lang, Bruno 22 2011 Newton’s method for quadratic stochastic programs with recourse. Zbl 0836.65078Chen, Xiaojun; Qi, Liqun; Womersley, Robert S. 21 1995 On preconditioned Uzawa methods and SOR methods for saddle-point problems. Zbl 0935.65055Chen, Xiaojun 21 1998 Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations. Zbl 0881.65042Chen, Xiaojun 19 1997 NT \(>\) NCP or monotone NCP. Zbl 0955.90132Chen, Bintong; Chen, Xiaojun 19 1999 A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang 19 2018 A smoothing method for a mathematical program with P-matrix linear complementarity constraints. Zbl 1046.90086Chen, Xiaojun; Fukushima, Masao 18 2004 An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J. 18 2017 Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 18 2012 Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167Bian, Wei; Chen, Xiaojun 18 2017 Convergence of the BFGS method for \(LC^ 1\) convex constrained optimization. Zbl 0871.90062Chen, Xiaojun 17 1996 Minimizing the condition number of a Gram matrix. Zbl 1220.65055Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J. 17 2011 On smoothing methods for the \(P_{0}\) matrix linear complementarity problem. Zbl 0994.65077Chen, Xiaojun; Ye, Yinyu 17 2000 Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 16 2010 A verification method for solutions of nonsmooth equations. Zbl 0882.65038Chen, Xiaojun 15 1997 A global linear and local quadratic continuation smoothing method for variational inequalities with box constraints. Zbl 0987.90079Chen, Bintong; Chen, Xiaojun 14 2000 An SQP-type method and its application in stochastic programs. Zbl 1030.90142Wei, Z.; Qi, L.; Chen, X. 14 2003 Sparse solutions of linear complementarity problems. Zbl 1346.90776Chen, Xiaojun; Xiang, Shuhuang 13 2016 A preconditioning proximal Newton method for nondifferentiable convex optimization. Zbl 0871.90065Qi, Liqun; Chen, Xiaojun 12 1997 CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149Chen, Xiaojun; Lin, Guihua 12 2011 Random test problems and parallel methods for quadratic programs and quadratic stochastic programs. Zbl 0980.90060Chen, Xiaojun; Womersley, Robert S. 12 2000 Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun 12 2001 Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131Zhou, Weijun; Chen, Xiaojun 11 2010 A parallel inexact Newton method for stochastic programs with recourse. Zbl 0854.90106Chen, Xiaojun; Womersley, Robert S. 11 1996 Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072Alefeld, G. E.; Chen, X.; Potra, F. A. 11 1999 Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 1474.91008Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun 11 2019 A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015Alefeld, Goetz; Chen, Xiaojun 10 2008 Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations. Zbl 0699.65042Yamamoto, Tetsuro; Chen, Xiaojun 10 1990 Structural reliability analysis with imprecise random and interval fields. Zbl 1480.74297Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis 9 2018 Global and superlinear convergence of inexact Uzawa methods for saddle point problems with nondifferentiable mappings. Zbl 0916.65070Chen, Xiaojun 9 1998 Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119Chen, Xiaojun; Kelley, C. T. 9 2016 A feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue 9 2012 Computational error bounds for a differential linear variational inequality. Zbl 1256.65066Chen, Xiaojun; Wang, Zhengyu 9 2012 Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117Jiang, Jie; Chen, Xiaojun; Chen, Zhiping 8 2020 Lagrangian globalization methods for nonlinear complementarity problems. Zbl 1049.90098Chen, X.; Qi, L.; Yang, Y. F. 8 2002 Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046Alefeld, G. E.; Chen, X.; Potra, F. A. 8 2002 Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations. Zbl 0991.90123Jiang, Houyuan; Qi, Liqun; Chen, Xiaojun; Sun, Defeng 8 1996 Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318Chen, Xiaojun; Toint, Ph. L.; Wang, H. 8 2019 First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025Chen, Xiaojun 8 2004 Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T. 8 2015 An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations. Zbl 0695.65032Yamamoto, Tetsuro; Chen, Xiaojun 7 1990 Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183Chen, Xiaojun; Xiang, Shuhuang 7 2011 Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. Zbl 0823.65048Chen, Xiaojun; Yamamoto, Tetsuro 7 1994 A smoothing active set method for linearly constrained non-Lipschitz nonconvex optimization. Zbl 07154031Zhang, Chao; Chen, Xiaojun 7 2020 Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068Chen, Xiaojun; Hashimoto, Kouji 7 2003 Two-stage stochastic variational inequalities: theory, algorithms and applications. Zbl 1474.90484Sun, Hai-Lin; Chen, Xiao-Jun 7 2021 Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B. 7 2015 Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. Zbl 1401.90167Chen, Xiaojun; Womersley, Robert S. 7 2018 Group sparse optimization for images recovery using capped folded concave functions. Zbl 1474.90507Pan, Lili; Chen, Xiaojun 6 2021 Regularizations for stochastic linear variational inequalities. Zbl 1342.90209Zhang, Yanfang; Chen, Xiaojun 6 2014 Convergence of the EDIIS algorithm for nonlinear equations. Zbl 1408.65030Chen, Xiaojun; Kelley, C. T. 6 2019 Anderson acceleration for a class of nonsmooth fixed-point problems. Zbl 1490.65093Bian, Wei; Chen, Xiaojun; Kelly, C. T. 5 2021 Computational formula of depth for Catmull-Clark subdivision surfaces. Zbl 1097.65029Zeng, Xiao-Ming; Chen, X. J. 5 2006 SAA-regularized methods for multiproduct price optimization under the pure characteristics demand model. Zbl 1375.90233Sun, Hailin; Su, Che-Lin; Chen, Xiaojun 5 2017 Spherical \(t_\epsilon\)-designs for approximations on the sphere. Zbl 06912357Zhou, Yang; Chen, Xiaojun 5 2018 The subdifferential of measurable composite max integrands and smoothing approximation. Zbl 1477.90044Burke, James V.; Chen, Xiaojun; Sun, Hailin 4 2020 Global error bounds for the extended vertical LCP. Zbl 1233.90267Zhang, Chao; Chen, Xiaojun; Xiu, Naihua 4 2009 Validated solutions of saddle point linear systems. Zbl 1176.65031Kimura, Takuma; Chen, Xiaojun 4 2009 Pure characteristics demand models and distributionally robust mathematical programs with stochastic complementarity constraints. Zbl 1515.90084Jiang, Jie; Chen, Xiaojun 1 2023 Distributionally robust stochastic variational inequalities. Zbl 1519.90245Sun, Hailin; Shapiro, Alexander; Chen, Xiaojun 1 2023 Anderson acceleration for nonsmooth fixed point problems. Zbl 1503.65102Bian, Wei; Chen, Xiaojun 1 2022 Two-stage stochastic variational inequalities: theory, algorithms and applications. Zbl 1474.90484Sun, Hai-Lin; Chen, Xiao-Jun 7 2021 Group sparse optimization for images recovery using capped folded concave functions. Zbl 1474.90507Pan, Lili; Chen, Xiaojun 6 2021 Anderson acceleration for a class of nonsmooth fixed-point problems. Zbl 1490.65093Bian, Wei; Chen, Xiaojun; Kelly, C. T. 5 2021 Machine learning aided phase field method for fracture mechanics. Zbl 07444795Feng, Yuan; Wang, Qihan; Wu, Di; Luo, Zhen; Chen, Xiaojun; Zhang, Tianyu; Gao, Wei 4 2021 High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. Zbl 1465.90095Chen, X.; Toint, Ph. L. 3 2021 Mathematical programs with complementarity constraints and a non-Lipschitz objective: optimality and approximation. Zbl 1480.90240Guo, Lei; Chen, Xiaojun 2 2021 Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117Jiang, Jie; Chen, Xiaojun; Chen, Zhiping 8 2020 A smoothing active set method for linearly constrained non-Lipschitz nonconvex optimization. Zbl 07154031Zhang, Chao; Chen, Xiaojun 7 2020 The subdifferential of measurable composite max integrands and smoothing approximation. Zbl 1477.90044Burke, James V.; Chen, Xiaojun; Sun, Hailin 4 2020 A Gauss-Seidel type method for dynamic nonlinear complementarity problems. Zbl 1454.65044Wu, Shu-Lin; Zhou, Tao; Chen, Xiaojun 4 2020 An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems. Zbl 1464.65066Liu, Tianxiang; Lu, Zhaosong; Chen, Xiaojun; Dai, Yu-Hong 4 2020 Computation of second-order directional stationary points for group sparse optimization. Zbl 1428.90138Peng, 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 1436.65160Sweidan, Mohyeedden; Chen, Xiaojun; Zheng, Xiaoming 1 2020 Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182Chen, Xiaojun; Sun, Hailin; Xu, Huifu 31 2019 Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin 25 2019 Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 1474.91008Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun 11 2019 Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318Chen, Xiaojun; Toint, Ph. L.; Wang, H. 8 2019 Convergence of the EDIIS algorithm for nonlinear equations. Zbl 1408.65030Chen, Xiaojun; Kelley, C. T. 6 2019 A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175Wen, Bo; Chen, Xiaojun; Pong, Ting Kei 44 2018 A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang 19 2018 Structural reliability analysis with imprecise random and interval fields. Zbl 1480.74297Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis 9 2018 Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. Zbl 1401.90167Chen, Xiaojun; Womersley, Robert S. 7 2018 Spherical \(t_\epsilon\)-designs for approximations on the sphere. Zbl 06912357Zhou, Yang; Chen, Xiaojun 5 2018 A smoothing direct search method for Monte Carlo-based bound constrained composite nonsmooth optimization. Zbl 1461.65138Chen, Xiaojun; Kelley, C. T.; Xu, Fengmin; Zhang, Zaikun 4 2018 A nonmonotone alternating updating method for a class of matrix factorization problems. Zbl 1411.90283Yang, Lei; Pong, Ting Kei; Chen, Xiaojun 2 2018 An exponential integrator-based discontinuous Galerkin method for linear complementarity systems. Zbl 1460.65086Wang, 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 1364.90278Yang, Lei; Pong, Ting Kei; Chen, Xiaojun 47 2017 Linear convergence of proximal gradient algorithm with extrapolation for a class of nonconvex nonsmooth minimization problems. Zbl 1359.90138Wen, Bo; Chen, Xiaojun; Pong, Ting Kei 38 2017 Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B. 33 2017 An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J. 18 2017 Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167Bian, Wei; Chen, Xiaojun 18 2017 SAA-regularized methods for multiproduct price optimization under the pure characteristics demand model. Zbl 1375.90233Sun, Hailin; Su, Che-Lin; Chen, Xiaojun 5 2017 Preface. Zbl 1378.00102 4 2017 A parallel iterative algorithm for differential linear complementarity problems. Zbl 1379.65050Wu, Shu-Lin; Chen, Xiaojun 2 2017 Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei 25 2016 Sparse solutions of linear complementarity problems. Zbl 1346.90776Chen, Xiaojun; Xiang, Shuhuang 13 2016 Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119Chen, Xiaojun; Kelley, C. T. 9 2016 A smoothing trust region filter algorithm for nonsmooth least squares problems. Zbl 1338.90313Chen, XiaoJun; Du, ShouQiang; Zhou, Yang 4 2016 Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075Bian, Wei; Chen, Xiaojun; Ye, Yinyu 44 2015 Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299Bian, Wei; Chen, Xiaojun 32 2015 Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T. 8 2015 Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B. 7 2015 Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028Chen, Xiaojun; Wang, Zhengyu 59 2014 Complexity of unconstrained \(L_2 - L_p\) minimization. Zbl 1285.90039Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu 56 2014 Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. Zbl 1326.90062Chen, Xiaojun; Zhou, Weijun 35 2014 Regularizations for stochastic linear variational inequalities. Zbl 1342.90209Zhang, Yanfang; Chen, Xiaojun 6 2014 Corrigendum: “Regularized least squares approximations on the sphere using spherical designs”. Zbl 1304.65114An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 1 2014 Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055Chen, Xiaojun; Wang, Zhengyu 40 2013 Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang 38 2013 Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175Bian, Wei; Chen, Xiaojun 26 2013 Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066Chen, Xiaojun; Xiang, Shuhuang 23 2013 Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang 58 2012 Non-Lipschitz \(\ell_p\)-regularization and box constrained model for image restoration. Zbl 1373.94080Chen, Xiaojun; Ng, Michael K.; Zhang, Chao 47 2012 Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 18 2012 A feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue 9 2012 Computational error bounds for a differential linear variational inequality. Zbl 1256.65066Chen, Xiaojun; Wang, Zhengyu 9 2012 Structured backward errors for generalized saddle point systems. Zbl 1256.65026Chen, Xiao Shan; Li, Wen; Chen, Xiaojun; Liu, Jun 3 2012 Computational existence proofs for spherical \(t\)-designs. Zbl 1208.65032Chen, Xiaojun; Frommer, Andreas; Lang, Bruno 22 2011 Minimizing the condition number of a Gram matrix. Zbl 1220.65055Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J. 17 2011 CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149Chen, Xiaojun; Lin, Guihua 12 2011 Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183Chen, Xiaojun; Xiang, Shuhuang 7 2011 Computation of generalized differentials in nonlinear complementarity problems. Zbl 1261.90066Xiang, Shuhuang; Chen, Xiaojun 2 2011 A new complexity metric for FH/SS sequences using fuzzy entropy. Zbl 1267.94002Chen, 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 1242.90174Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu 109 2010 Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031Chen, Xiaojun; Zhou, Weijun 62 2010 Error bounds for approximation in Chebyshev points. Zbl 1201.65040Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong 46 2010 Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 16 2010 Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131Zhou, Weijun; Chen, Xiaojun 11 2010 Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012Chen, Xiaojun; Zhang, Chao; Fukushima, Masao 80 2009 Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073Zhang, Chao; Chen, Xiaojun 38 2009 Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. Zbl 1168.90008Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao 24 2009 Global error bounds for the extended vertical LCP. Zbl 1233.90267Zhang, Chao; Chen, Xiaojun; Xiu, Naihua 4 2009 Validated solutions of saddle point linear systems. Zbl 1176.65031Kimura, Takuma; Chen, Xiaojun 4 2009 A class of quadratic programs with linear complementarity constraints. Zbl 1191.90042Chen, Xiaojun; Ye, Jane J. 3 2009 Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034Zhang, Chao; Chen, X. 30 2008 A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015Alefeld, Goetz; Chen, Xiaojun 10 2008 Implicit Runge-Kutta methods for Lipschitz continuous ordinary differential equations. Zbl 1170.65062Chen, Xiaojun; Mahmoud, Sayed 3 2008 A verified inexact implicit Runge-Kutta method for nonsmooth ODEs. Zbl 1147.65057Mahmoud, Sayed; Chen, Xiaojun 2 2008 Stochastic \(R_0\) matrix linear complementarity problems. Zbl 1151.90052Fang, Haitao; Chen, Xiaojun; Fukushima, Masao 58 2007 Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018Chen, Xiaojun; Xiang, Shuhuang 52 2007 New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455Lin, Guihua; Chen, Xiaojun; Fukushima, Masao 28 2007 Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043Chen, Xiaojun; Xiang, Shuhuang 78 2006 Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035Chen, Xiaojun; Womersley, Robert S. 26 2006 Computational formula of depth for Catmull-Clark subdivision surfaces. Zbl 1097.65029Zeng, Xiao-Ming; Chen, X. J. 5 2006 Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527Chen, Xiaojun; Fukushima, Masao 106 2005 Finite difference smoothing solutions of nonsmooth constrained optimal control problems. Zbl 1062.49023Chen, Xiaojun 1 2005 A smoothing method for a mathematical program with P-matrix linear complementarity constraints. Zbl 1046.90086Chen, Xiaojun; Fukushima, Masao 18 2004 First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025Chen, Xiaojun 8 2004 An SQP-type method and its application in stochastic programs. Zbl 1030.90142Wei, Z.; Qi, L.; Chen, X. 14 2003 Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068Chen, Xiaojun; Hashimoto, Kouji 7 2003 On characterizations and regularity of the solution of bilateral obstacle problems. Zbl 1021.65032Mermri, B.; Chen, X. 3 2003 Lagrangian globalization methods for nonlinear complementarity problems. Zbl 1049.90098Chen, X.; Qi, L.; Yang, Y. F. 8 2002 Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046Alefeld, G. E.; Chen, X.; Potra, F. A. 8 2002 On convergence of SOR methods for nonsmooth equations. Zbl 1071.65072Chen, Xiaojun 3 2002 Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun 12 2001 Verification for existence of solutions of linear complementarity problems. Zbl 0977.65056Chen, Xiaojun; Shogenji, Yukihiro; Yamasaki, Maretsugu 4 2001 A superlinearly and globally convergent method for reaction and diffusion problems with a non-Lipschitzian operator. Zbl 0998.65095Chen, X. 3 2001 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,928 Authors 68 Chen, Xiaojun 64 Argyros, Ioannis Konstantinos 34 Qi, Liqun 32 Xiang, Shuhuang 25 Hilout, Saïd 25 Ma, Changfeng 23 Huang, Zheng-Hai 19 Xiu, Naihua 19 Zeng, Shengda 17 Huang, Nan-Jing 17 Lin, Guihua 16 Du, Shouqiang 16 Fukushima, Masao 16 Liu, Zhenhai 16 Wu, Chunlin 15 Li, Chaoqian 15 Wei, Yimin 14 Sun, Zhe 14 Womersley, Robert S. 14 Xu, Huifu 13 Lu, Zhaosong 13 Pong, Ting Kei 13 Ye, Jane J. 12 Li, Yaotang 12 Luo, Meiju 12 Sun, Defeng 11 Bian, Wei 11 Li, Donghui 11 Peña, Juan Manuel 11 Śmietański, Marek J. 11 Zhang, Liwei 10 Gao, Lei 10 Liu, Hongwei 10 Ma, Jipu 10 Wang, Zhengyu 10 Yamamoto, Tetsuro 10 Zhang, Jin 9 Chen, Jein-Shan 9 Chen, Zhiping 9 Jiang, Jie 9 Li, Shengjie 9 Pang, Jong-Shi 9 Shanbhag, Uday V. 9 Sloan, Ian Hugh 9 Wei, Zengxin 9 Yuan, Ya-xiang 8 Gao, Yan 8 Garcia Esnaola, Marta 8 Han, Deren 8 Huang, Qianglian 8 Huang, Yakui 8 Kelley, Carl T. 8 Kong, Lingchen 8 Li, Wen 8 Migórski, Stanisław 8 Pan, Shaohua 8 Sun, Hailin 8 Sun, Jie 8 Wu, Lei 8 Yu, Bo 8 Yuan, Gonglin 7 Alefeld, Götz E. 7 Fang, Qing 7 Hintermüller, Michael 7 Huang, Na 7 Jiao, Yuling 7 Li, Xiangli 7 Liu, Guidong 7 Lu, Xiliang 7 Luo, ZiYan 7 Nguyen Van Thien 7 Raciti, Fabio 7 Toint, Philippe Louis 7 Wu, Zhongming 7 Ye, Yinyu 7 Zeng, Jinping 7 Zhang, Chao 6 Brogliato, Bernard 6 Chen, Tao 6 Dai, Pingfan 6 Fang, Shu-Cherng 6 Han, Jiye 6 Hesse, Kerstin 6 Kanzow, Christian 6 Li, Guoyin 6 Li, Yufan 6 Li, Zi-Cai 6 Liu, Hongcheng 6 Liu, Xin 6 Liu, Yongchao 6 Martínez, José Mario 6 Mehlitz, Patrick 6 Pan, Lili 6 Peng, Dingtao 6 Sheng, Zhou 6 Wan, Zhong 6 Wen, Zaiwen 6 Wu, Qinghua 6 Xiao, Yibin 6 Xu, Fengmin ...and 1,828 more Authors all top 5 Cited in 218 Serials 97 Journal of Computational and Applied Mathematics 90 Applied Mathematics and Computation 85 Computational Optimization and Applications 72 Journal of Optimization Theory and Applications 64 Mathematical Programming. Series A. Series B 60 SIAM Journal on Optimization 58 Numerical Algorithms 41 Journal of Global Optimization 38 Journal of Scientific Computing 37 Numerical Functional Analysis and Optimization 30 Journal of Industrial and Management Optimization 29 Optimization Methods & Software 23 Optimization 22 Computers & Mathematics with Applications 21 Optimization Letters 19 Mathematical Problems in Engineering 19 Journal of Applied Mathematics and Computing 18 Linear Algebra and its Applications 18 SIAM Journal on Scientific Computing 17 Applied Numerical Mathematics 17 SIAM Journal on Imaging Sciences 16 Mathematics of Computation 16 Journal of Inequalities and Applications 15 International Journal of Computer Mathematics 15 Computational and Applied Mathematics 14 Numerische Mathematik 13 Inverse Problems 13 Nonlinear Analysis. Theory, Methods & Applications. 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Series B (English Edition) 4 Journal of Combinatorial Optimization 4 Communications in Nonlinear Science and Numerical Simulation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Open Mathematics 3 Journal of Computational Physics 3 Mathematical Methods in the Applied Sciences 3 Fuzzy Sets and Systems 3 Journal of Approximation Theory 3 Computers & Operations Research 3 Numerical Methods for Partial Differential Equations 3 Communications in Statistics. Theory and Methods 3 Filomat 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 Evolution Equations and Control Theory 3 SIAM Journal on Mathematics of Data Science 2 Computer Methods in Applied Mechanics and Engineering 2 Automatica ...and 118 more Serials all top 5 Cited in 54 Fields 949 Operations research, mathematical programming (90-XX) 848 Numerical analysis (65-XX) 291 Calculus of variations and optimal control; optimization (49-XX) 162 Operator theory (47-XX) 103 Linear and multilinear algebra; matrix theory (15-XX) 73 Partial differential equations (35-XX) 73 Information and communication theory, circuits (94-XX) 59 Computer science (68-XX) 52 Statistics (62-XX) 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Approximations and expansions (41-XX) 39 Mechanics of deformable solids (74-XX) 32 Ordinary differential equations (34-XX) 27 Probability theory and stochastic processes (60-XX) 24 Integral equations (45-XX) 20 Systems theory; control (93-XX) 16 Real functions (26-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Functional analysis (46-XX) 14 Global analysis, analysis on manifolds (58-XX) 11 Special functions (33-XX) 11 Fluid mechanics (76-XX) 10 Combinatorics (05-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Biology and other natural sciences (92-XX) 7 Convex and discrete geometry (52-XX) 5 Number theory (11-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-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 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year