Edit Profile Chen, Xiaojun Compute Distance To: Compute Author ID: chen.xiaojun.1 Published as: Chen, X.; Chen, X. J.; Chen, Xiao Jun; Chen, Xiao jun.; Chen, XiaoJun; Chen, Xiaojun Homepage: https://www.polyu.edu.hk/ama/staff/xjchen/ChenXJ.htm External Links: MGP · Wikidata Documents Indexed: 206 Publications since 1981, including 3 Books all top 5 Co-Authors 16 single-authored 11 Qi, Liqun 11 Yamamoto, Tetsuro 9 Womersley, Robert S. 8 Fukushima, Masao 8 You, Zhaoyong 7 Xiang, Shuhuang 6 Pong, Ting Kei 5 Alefeld, Götz E. 5 Sun, Hailin 5 Ye, Yinyu 4 Bian, Wei 4 Kelley, Carl T. 4 Sloan, Ian Hugh 4 Wang, Zhengyu 4 Wets, Roger Jean-Baptiste 3 An, Congpei 3 Chen, Bintong 3 Lin, Guihua 3 Lu, Zhaosong 3 Nashed, Zuhair 3 Potra, Florian-Alexandru 3 Wang, Deren 3 Ye, Jane J. 3 Yuan, Ya-xiang 3 Zhang, Chao 3 Zhou, Weijun 2 Fang, Qing 2 Frommer, Andreas 2 Hashimoto, Kouji 2 Liu, Xin 2 Mahmoud, Sayed 2 Wen, Bo 2 Xu, Fengmin 2 Yang, Lei 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 Cheng, Hao 1 De Nicola, Rocco 1 Du, Jingjing 1 Du, Shouqiang 1 Fang, Haitao 1 Gao, Bin 1 Ge, Dongdong 1 Guo, Lei 1 Huang, Joshua Zhexue 1 Jiang, Houyuan 1 Kanzow, Christian 1 Kimura, Takuma 1 Lang, Bruno 1 Li, Wen 1 Li, Zan 1 Ling, Chen 1 Liu, Jun 1 Long, Bruno 1 Matsunaga, Nami 1 Mermri, B. 1 Nashed, M. Zuhair 1 Niu, Lingfeng 1 Rogers, Colin 1 Shapiro, Alexander 1 Shi, Yong 1 Shi, Zhongci 1 Shogenji, Yukihiro 1 Si, Jiangbo 1 Su, Che-Lin 1 Sun, Defeng 1 Tang, Bin 1 Tian, Yingjie 1 Wang, Haiyong 1 Wang, Hong 1 Wang, Zizhuo 1 Wei, Zhi 1 Willert, Jeffrey 1 Xiu, Naihua 1 Xu, Huifu 1 Xu, Xiaofei 1 Yamasaki, Maretsugu 1 Yamashita, Nobuo 1 Yang, Yufei 1 Ye, YunMing 1 Zhang, Chao 1 Zhang, Gaoyi 1 Zhang, Peng 1 Zhang, Zaikun all top 5 Serials 18 SIAM Journal on Optimization 17 Mathematical Programming. Series A. Series B 9 Journal of Computational and Applied Mathematics 9 SIAM Journal on Numerical Analysis 8 Computational Optimization and Applications 5 Numerical Functional Analysis and Optimization 5 Numerische Mathematik 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Control and Optimization 4 Journal of Computational Mathematics 4 SIAM Journal on Imaging Sciences 3 Mathematics of Operations Research 3 Numerical Mathematics 3 SIAM Journal on Scientific Computing 2 IMA Journal of Numerical Analysis 2 Mathematics of Computation 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 RIMS Kokyuroku 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 Signal Processing 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 Optimization Methods & Software 1 Optimization and Engineering 1 Science in China. Series F 1 Pacific Journal of Optimization 1 Set-Valued and Variational Analysis 1 Science China. Mathematics 1 Science China. Information Sciences 1 Numerical Algebra, Control and Optimization all top 5 Fields 91 Numerical analysis (65-XX) 86 Operations research, mathematical programming (90-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 7 Operator theory (47-XX) 6 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 5 Approximations and expansions (41-XX) 5 Information and communication theory, circuits (94-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-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 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 142 Publications have been cited 2,233 times in 1,377 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. 128 1998 Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005Chen, X.; Liu, B. 98 2010 Convergence of Newton-like methods for singular operator equations using outer inverses. Zbl 0797.65047Nashed, M. Z.; Chen, X. 87 1993 Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527Chen, Xiaojun; Fukushima, Masao 83 2005 Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun 80 2000 Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu 72 2010 Convergence domains of certain iterative methods for solving nonlinear equations. Zbl 0645.65028Chen, Xiaojun; Yamamoto, Tetsuro 72 1989 Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012Chen, Xiaojun; Zhang, Chao; Fukushima, Masao 64 2009 Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043Chen, Xiaojun; Xiang, Shuhuang 55 2006 A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062Chen, Bintong; Chen, Xiaojun; Kanzow, Christian 53 2000 Stochastic \(R_0\) matrix linear complementarity problems. Zbl 1151.90052Fang, Haitao; Chen, Xiaojun; Fukushima, Masao 52 2007 On homotopy-smoothing methods for box-constrained variational inequalities. Zbl 0973.65051Chen, Xiaojun; Ye, Yinyu 40 1999 Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031Chen, Xiaojun; Zhou, Weijun 39 2010 Complexity of unconstrained \(L_2 - L_p\) minimization. Zbl 1285.90039Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu 38 2014 Herringbone buckling patterns of compressed thin films on compliant substrates. Zbl 1111.74362Chen, X.; Hutchinson, John W. 38 2004 Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang 37 2012 Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018Chen, Xiaojun; Xiang, Shuhuang 37 2007 A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109Qi, Liqun; Chen, Xiaojun 35 1995 A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029Chen, Xiaojun; Qi, Liqun 34 1994 Error bounds for approximation in Chebyshev points. Zbl 1201.65040Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong 31 2010 Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073Zhang, Chao; Chen, Xiaojun 30 2009 Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075Bian, Wei; Chen, Xiaojun; Ye, Yinyu 28 2015 Non-Lipschitz \(\ell_p\)-regularization and box constrained model for image restoration. Zbl 1373.94080Chen, Xiaojun; Ng, Michael K.; Zhang, Chao 28 2012 Smoothing methods for complementarity problems and their applications: A survey. Zbl 0998.90078Chen, Xiaojun 28 2000 Proximal quasi-Newton methods for nondifferentiable convex optimization. Zbl 0946.90111Chen, Xiaojun; Fukushima, Masao 28 1999 New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455Lin, Guihua; Chen, Xiaojun; Fukushima, Masao 27 2007 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 25 2017 Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang 25 2013 Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034Zhang, Chao; Chen, X. 25 2008 Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028Chen, Xiaojun; Wang, Zhengyu 24 2014 Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035Chen, Xiaojun; Womersley, Robert S. 23 2006 NT \(>\) NCP or monotone NCP. Zbl 0955.90132Chen, Bintong; Chen, Xiaojun 23 1999 Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. Zbl 1168.90008Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao 22 2009 Convergence of Newton’s method for singular smooth and nonsmooth equations using adaptive outer inverses. Zbl 0871.65047Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun 22 1997 Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175Bian, Wei; Chen, Xiaojun 21 2013 Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055Chen, Xiaojun; Wang, Zhengyu 21 2013 Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299Bian, Wei; Chen, Xiaojun 19 2015 Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. Zbl 1326.90062Chen, Xiaojun; Zhou, Weijun 19 2014 Newton’s method for quadratic stochastic programs with recourse. Zbl 0836.65078Chen, Xiaojun; Qi, Liqun; Womersley, Robert S. 19 1995 Computational existence proofs for spherical \(t\)-designs. Zbl 1208.65032Chen, Xiaojun; Frommer, Andreas; Lang, Bruno 18 2011 A smoothing method for a mathematical program with P-matrix linear complementarity constraints. Zbl 1046.90086Chen, Xiaojun; Fukushima, Masao 18 2004 On preconditioned Uzawa methods and SOR methods for saddle-point problems. Zbl 0935.65055Chen, Xiaojun 18 1998 Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations. Zbl 0881.65042Chen, Xiaojun 17 1997 Convergence of the BFGS method for \(LC^ 1\) convex constrained optimization. Zbl 0871.90062Chen, Xiaojun 17 1996 On smoothing methods for the \(P_{0}\) matrix linear complementarity problem. Zbl 0994.65077Chen, Xiaojun; Ye, Yinyu 15 2000 Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei 14 2016 A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056Chen, X.; Toh, K. C.; Phoon, K. K. 14 2006 A verification method for solutions of nonsmooth equations. Zbl 0882.65038Chen, Xiaojun 14 1997 Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066Chen, Xiaojun; Xiang, Shuhuang 13 2013 An SQP-type method and its application in stochastic programs. Zbl 1030.90142Wei, Z.; Qi, L.; Chen, X. 13 2003 A global linear and local quadratic continuation smoothing method for variational inequalities with box constraints. Zbl 0987.90079Chen, Bintong; Chen, Xiaojun 13 2000 Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B. 12 2017 Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 12 2012 Minimizing the condition number of a Gram matrix. Zbl 1220.65055Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J. 12 2011 Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun 12 2001 Random test problems and parallel methods for quadratic programs and quadratic stochastic programs. Zbl 0980.90060Chen, Xiaojun; Womersley, Robert S. 12 2000 CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149Chen, Xiaojun; Lin, Guihua 11 2011 Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 06035903Zhang, W. X.; Wang, T. J.; Chen, X. 11 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. 11 2010 Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072Alefeld, G. E.; Chen, X.; Potra, F. A. 11 1999 A parallel inexact Newton method for stochastic programs with recourse. Zbl 0854.90106Chen, Xiaojun; Womersley, Robert S. 11 1996 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 10 2017 Sparse solutions of linear complementarity problems. Zbl 1346.90776Chen, Xiaojun; Xiang, Shuhuang 10 2016 A preconditioning proximal Newton method for nondifferentiable convex optimization. Zbl 0871.90065Qi, Liqun; Chen, Xiaojun 10 1997 Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations. Zbl 0699.65042Yamamoto, Tetsuro; Chen, Xiaojun 10 1990 A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175Wen, Bo; Chen, Xiaojun; Pong, Ting Kei 9 2018 An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J. 9 2017 A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015Alefeld, Goetz; Chen, Xiaojun 9 2008 Global and superlinear convergence of inexact Uzawa methods for saddle point problems with nondifferentiable mappings. Zbl 0916.65070Chen, Xiaojun 9 1998 A feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue 8 2012 Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131Zhou, Weijun; Chen, Xiaojun 8 2010 Lagrangian globalization methods for nonlinear complementarity problems. Zbl 1049.90098Chen, X.; Qi, L.; Yang, Y. F. 8 2002 First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025Chen, Xiaojun 7 2004 Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068Chen, Xiaojun; Hashimoto, Kouji 7 2003 Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009Chen, X.; Namah, G. 7 1997 Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations. Zbl 0991.90123Jiang, Houyuan; Qi, Liqun; Chen, Xiaojun; Sun, Defeng 7 1996 Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167Bian, Wei; Chen, Xiaojun 6 2017 Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183Chen, Xiaojun; Xiang, Shuhuang 6 2011 Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046Alefeld, G. E.; Chen, X.; Potra, F. A. 6 2002 An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations. Zbl 0695.65032Yamamoto, Tetsuro; Chen, Xiaojun 6 1990 Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182Chen, Xiaojun; Sun, Hailin; Xu, Huifu 5 2019 Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin 5 2019 Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119Chen, Xiaojun; Kelley, C. T. 5 2016 Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T. 5 2015 Computational error bounds for a differential linear variational inequality. Zbl 1256.65066Chen, Xiaojun; Wang, Zhengyu 5 2012 Determining plastic properties of a material with residual stress by using conical indentation. Zbl 1178.74072Yan, Jin; Karlsson, A. M.; Chen, X. 5 2007 Computational formula of depth for Catmull-Clark subdivision surfaces. Zbl 1097.65029Zeng, Xiao-Ming; Chen, X. J. 5 2006 Verification for existence of solutions of linear complementarity problems. Zbl 0977.65056Chen, Xiaojun; Shogenji, Yukihiro; Yamasaki, Maretsugu 5 2001 Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. Zbl 0823.65048Chen, Xiaojun; Yamamoto, Tetsuro 5 1994 A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang 4 2018 Invariants of the velocity-gradient tensor in a spatially developing inhomogeneous turbulent flow. Zbl 1383.76179Buxton, O. R. H.; Breda, M.; Chen, X. 4 2017 Regularizations for stochastic linear variational inequalities. Zbl 1342.90209Zhang, Yanfang; Chen, Xiaojun 4 2014 Validated solutions of saddle point linear systems. Zbl 1176.65031Kimura, Takuma; Chen, Xiaojun 4 2009 Modeling of ratcheting behavior under multiaxial cyclic loading. Zbl 1064.74518Chen, X.; Kim, K. S. 4 2003 Smoothing Newton methods for nonsmooth Dirichlet problems. Zbl 0932.65112Chen, Xiaojun; Matsunaga, Nami; Yamamoto, Tetsuro 4 1999 Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318Chen, Xiaojun; Toint, Ph. L.; Wang, H. 3 2019 Structural reliability analysis with imprecise random and interval fields. Zbl 07166627Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis 3 2018 Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139Su, Z.; Zhu, G.; Chen, X.; Yang, Y. 3 2016 A smoothing trust region filter algorithm for nonsmooth least squares problems. Zbl 1338.90313Chen, XiaoJun; Du, ShouQiang; Zhou, Yang 3 2016 A class of quadratic programs with linear complementarity constraints. Zbl 1191.90042Chen, Xiaojun; Ye, Jane J. 3 2009 Structure evolution at early stage of boundary-layer transition: simulation and experiment. Zbl 07193492Jiang, X. Y.; Lee, C. B.; Chen, X.; Smith, C. R.; Linden, P. F. 1 2020 Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182Chen, Xiaojun; Sun, Hailin; Xu, Huifu 5 2019 Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin 5 2019 Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318Chen, Xiaojun; Toint, Ph. L.; Wang, H. 3 2019 Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 07266714Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun 1 2019 Convergence of the EDIIS algorithm for nonlinear equations. Zbl 1408.65030Chen, Xiaojun; Kelley, C. T. 1 2019 A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175Wen, Bo; Chen, Xiaojun; Pong, Ting Kei 9 2018 A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang 4 2018 Structural reliability analysis with imprecise random and interval fields. Zbl 07166627Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis 3 2018 Spherical \(t_\epsilon\)-designs for approximations on the sphere. Zbl 06912357Zhou, Yang; Chen, Xiaojun 2 2018 A smoothing direct search method for Monte Carlo-based bound constrained composite nonsmooth optimization. Zbl 06904998Chen, Xiaojun; Kelley, C. T.; Xu, Fengmin; Zhang, Zaikun 2 2018 An exponential integrator-based discontinuous Galerkin method for linear complementarity systems. Zbl 06983875Wang, Zhengyu; Chen, Xiaojun 1 2018 Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. Zbl 1401.90167Chen, Xiaojun; Womersley, Robert S. 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 25 2017 Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B. 12 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 10 2017 An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J. 9 2017 Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167Bian, Wei; Chen, Xiaojun 6 2017 Invariants of the velocity-gradient tensor in a spatially developing inhomogeneous turbulent flow. Zbl 1383.76179Buxton, O. R. H.; Breda, M.; Chen, X. 4 2017 A parallel iterative algorithm for differential linear complementarity problems. Zbl 1379.65050Wu, Shu-Lin; Chen, Xiaojun 1 2017 SAA-regularized methods for multiproduct price optimization under the pure characteristics demand model. Zbl 1375.90233Sun, Hailin; Su, Che-Lin; Chen, Xiaojun 1 2017 Preface. Zbl 1378.00102Chen, Xiaojun (ed.); Wets, Roger (ed.) 1 2017 Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei 14 2016 Sparse solutions of linear complementarity problems. Zbl 1346.90776Chen, Xiaojun; Xiang, Shuhuang 10 2016 Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119Chen, Xiaojun; Kelley, C. T. 5 2016 Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139Su, Z.; Zhu, G.; Chen, X.; Yang, Y. 3 2016 A smoothing trust region filter algorithm for nonsmooth least squares problems. Zbl 1338.90313Chen, XiaoJun; Du, ShouQiang; Zhou, Yang 3 2016 Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075Bian, Wei; Chen, Xiaojun; Ye, Yinyu 28 2015 Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299Bian, Wei; Chen, Xiaojun 19 2015 Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T. 5 2015 Snap-through buckling of initially curved microbeam subject to an electrostatic force. Zbl 1371.74106Chen, X.; Meguid, S. A. 2 2015 Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B. 2 2015 Complexity of unconstrained \(L_2 - L_p\) minimization. Zbl 1285.90039Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu 38 2014 Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028Chen, Xiaojun; Wang, Zhengyu 24 2014 Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. Zbl 1326.90062Chen, Xiaojun; Zhou, Weijun 19 2014 Regularizations for stochastic linear variational inequalities. Zbl 1342.90209Zhang, Yanfang; Chen, Xiaojun 4 2014 Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang 25 2013 Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175Bian, Wei; Chen, Xiaojun 21 2013 Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055Chen, Xiaojun; Wang, Zhengyu 21 2013 Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066Chen, Xiaojun; Xiang, Shuhuang 13 2013 Coalescence of drops with mobile interfaces in a quiescent fluid. Zbl 1291.76048Nemer, M. B.; Santoro, P.; Chen, X.; Bławzdziewicz, J.; Loewenberg, M. 2 2013 Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang 37 2012 Non-Lipschitz \(\ell_p\)-regularization and box constrained model for image restoration. Zbl 1373.94080Chen, Xiaojun; Ng, Michael K.; Zhang, Chao 28 2012 Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 12 2012 A feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue 8 2012 Computational error bounds for a differential linear variational inequality. Zbl 1256.65066Chen, Xiaojun; Wang, Zhengyu 5 2012 Structured backward errors for generalized saddle point systems. Zbl 1256.65026Chen, Xiao Shan; Li, Wen; Chen, Xiaojun; Liu, Jun 1 2012 Computational existence proofs for spherical \(t\)-designs. Zbl 1208.65032Chen, Xiaojun; Frommer, Andreas; Lang, Bruno 18 2011 Minimizing the condition number of a Gram matrix. Zbl 1220.65055Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J. 12 2011 CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149Chen, Xiaojun; Lin, Guihua 11 2011 Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183Chen, Xiaojun; Xiang, Shuhuang 6 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 Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005Chen, X.; Liu, B. 98 2010 Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu 72 2010 Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031Chen, Xiaojun; Zhou, Weijun 39 2010 Error bounds for approximation in Chebyshev points. Zbl 1201.65040Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong 31 2010 Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 06035903Zhang, W. X.; Wang, T. J.; Chen, X. 11 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. 11 2010 Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131Zhou, Weijun; Chen, Xiaojun 8 2010 Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012Chen, Xiaojun; Zhang, Chao; Fukushima, Masao 64 2009 Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073Zhang, Chao; Chen, Xiaojun 30 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 22 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 Multistage scenario-based interval-stochastic programming for planning water resources allocation. Zbl 1418.90183Li, Y. P.; Huang, G. H.; Chen, X. 2 2009 Global error bounds for the extended vertical LCP. Zbl 1233.90267Zhang, Chao; Chen, Xiaojun; Xiu, Naihua 1 2009 Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034Zhang, Chao; Chen, X. 25 2008 A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015Alefeld, Goetz; Chen, Xiaojun 9 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 52 2007 Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018Chen, Xiaojun; Xiang, Shuhuang 37 2007 New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455Lin, Guihua; Chen, Xiaojun; Fukushima, Masao 27 2007 Determining plastic properties of a material with residual stress by using conical indentation. Zbl 1178.74072Yan, Jin; Karlsson, A. M.; Chen, X. 5 2007 Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot’s problem. Zbl 1173.74405Chen, X.; Phoon, K. K.; Toh, K. C. 3 2007 Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043Chen, Xiaojun; Xiang, Shuhuang 55 2006 Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035Chen, Xiaojun; Womersley, Robert S. 23 2006 A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056Chen, X.; Toh, K. C.; Phoon, K. K. 14 2006 Computational formula of depth for Catmull-Clark subdivision surfaces. Zbl 1097.65029Zeng, Xiao-Ming; Chen, X. J. 5 2006 A novel DCT-based algorithm for computing the modulated complex lapped transform. Zbl 1374.94695Chen, X.; Dai, Q. 2 2006 On multiscale significance of Rice’s normality structure. Zbl 1192.74009Yang, Q.; Chen, X.; Zhou, W. Y. 2 2006 Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527Chen, Xiaojun; Fukushima, Masao 83 2005 Finite difference smoothing solutions of nonsmooth constrained optimal control problems. Zbl 1062.49023Chen, Xiaojun 1 2005 Herringbone buckling patterns of compressed thin films on compliant substrates. Zbl 1111.74362Chen, X.; Hutchinson, John W. 38 2004 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 7 2004 An SQP-type method and its application in stochastic programs. Zbl 1030.90142Wei, Z.; Qi, L.; Chen, X. 13 2003 Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068Chen, Xiaojun; Hashimoto, Kouji 7 2003 Modeling of ratcheting behavior under multiaxial cyclic loading. Zbl 1064.74518Chen, X.; Kim, K. S. 4 2003 The effects of thin and ultrathin liquid films on dynamic wetting. Zbl 1186.76101Chen, X.; Ramé, E.; Garoff, S. 2 2003 On characterizations and regularity of the solution of bilateral obstacle problems. Zbl 1021.65032Mermri, B.; Chen, X. 2 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. 6 2002 On convergence of SOR methods for nonsmooth equations. Zbl 1071.65072Chen, Xiaojun 2 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 5 2001 A superlinearly and globally convergent method for reaction and diffusion problems with a non-Lipschitzian operator. Zbl 0998.65095Chen, X. 3 2001 Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun 80 2000 A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062Chen, Bintong; Chen, Xiaojun; Kanzow, Christian 53 2000 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,808 Authors 64 Argyros, Ioannis Konstantinos 60 Chen, Xiaojun 40 Qi, Liqun 28 Ma, Changfeng 25 Hilout, Saïd 25 Xiang, Shuhuang 24 Huang, Zheng-Hai 16 Fukushima, Masao 16 Lin, Guihua 15 Xiu, Naihua 13 Du, Shouqiang 13 Li, Chaoqian 13 Wei, Yimin 13 Womersley, Robert S. 12 Li, Donghui 12 Sun, Zhe 12 Yao, Kai 12 Ye, Jane J. 12 Zhu, Yuanguo 11 Li, Yaotang 11 Liu, Hongwei 11 Liu, Zhenhai 11 Śmietański, Marek J. 11 Wu, Chunlin 11 Zhang, Liwei 10 Gao, Yan 10 Luo, Meiju 10 Ma, Jipu 10 Wei, Zengxin 10 Yamamoto, Tetsuro 10 Zeng, Shengda 10 Zhang, Liping 9 Chen, Jein-Shan 9 Gao, Jinwu 9 Huang, Nan-Jing 9 Peña, Juan Manuel 9 Sun, Defeng 9 Xu, Huifu 8 Kong, Lingchen 8 Ling, Chen 8 Lu, Zhaosong 8 Pong, Ting Kei 8 Sloan, Ian Hugh 8 Yuan, Gonglin 7 Alefeld, Götz E. 7 Chen, Zhiping 7 Fang, Qing 7 Ferronato, Massimiliano 7 Gao, Lei 7 Gao, Yuan 7 Garcia Esnaola, Marta 7 Han, Jiye 7 Huang, Na 7 Huang, Qianglian 7 Huang, Yakui 7 Li, Wen 7 Li, Xiangli 7 Lin, Gui-Hua 7 Pang, Jong-Shi 7 Shanbhag, Uday V. 7 Wang, Zhengyu 7 Yang, Xiangfeng 7 Yuan, Ya-xiang 7 Zeng, Jinping 6 Chen, Xiaojun 6 Chen, Xiaowei 6 Dai, Pingfan 6 Hintermüller, Michael 6 Kelley, Carl T. 6 Li, Zi-Cai 6 Luo, ZiYan 6 Martínez, José Mario 6 Migórski, Stanisław 6 Raciti, Fabio 6 Sun, Hailin 6 Sun, Jie 6 Tong, Xiaojiao 6 Wan, Zhong 6 Wu, Lei 6 Xu, Mengwei 6 Zhang, Jin 6 Zhou, Guanglu 5 Fang, Shu-Cherng 5 Gambolati, Giuseppe 5 Gao, Rong 5 Hesse, Kerstin 5 Huang, Yonggang Young 5 Jiao, Yuling 5 Li, Guoyin 5 Li, Yufan 5 Liu, Guidong 5 Ma, Huiqiang 5 Potier-Ferry, Michel 5 Rogers, John A. 5 Sheng, Yuhong 5 Tang, Jia 5 Wan, Zhongping 5 Wang, Yuwen 5 Wu, Jia 5 Xu, Chengxian ...and 1,708 more Authors all top 5 Cited in 214 Serials 107 Applied Mathematics and Computation 88 Journal of Computational and Applied Mathematics 68 Computational Optimization and Applications 63 Journal of Optimization Theory and Applications 51 Mathematical Programming. 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(English Edition) 3 Mathematical and Computer Modelling 3 Neural Networks 3 Journal of Mathematical Imaging and Vision 3 Multibody System Dynamics 3 The ANZIAM Journal 3 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 3 Analysis in Theory and Applications 3 Open Mathematics 2 Archive for Rational Mechanics and Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 BIT 2 Czechoslovak Mathematical Journal 2 Mathematica Slovaca 2 Cybernetics and Systems 2 Bulletin of the Iranian Mathematical Society ...and 114 more Serials all top 5 Cited in 49 Fields 718 Operations research, mathematical programming (90-XX) 717 Numerical analysis (65-XX) 217 Calculus of variations and optimal control; optimization (49-XX) 116 Operator theory (47-XX) 107 Mechanics of deformable solids (74-XX) 75 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 71 Linear and multilinear algebra; matrix theory (15-XX) 64 Partial differential equations (35-XX) 51 Probability theory and stochastic processes (60-XX) 48 Ordinary differential equations (34-XX) 45 Information and communication theory, circuits (94-XX) 43 Computer science (68-XX) 38 Systems theory; control (93-XX) 36 Approximations and expansions (41-XX) 34 Statistics (62-XX) 19 Fluid mechanics (76-XX) 18 Integral equations (45-XX) 14 Real functions (26-XX) 12 Measure and integration (28-XX) 12 Functional analysis (46-XX) 10 Combinatorics (05-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Mechanics of particles and systems (70-XX) 8 Biology and other natural sciences (92-XX) 6 Special functions (33-XX) 6 Convex and discrete geometry (52-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-XX) 4 Differential geometry (53-XX) 4 Geophysics (86-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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