Edit Profile (opens in new tab) Chen, Xiaojun Compute Distance To: Compute 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: 225 Publications since 1981, including 1 Book 5 Contributions as Editor Co-Authors: 93 Co-Authors with 135 Joint Publications 3,471 Co-Co-Authors all top 5 Co-Authors 19 single-authored 12 Qi, Liqun 11 Yamamoto, Tetsuro 9 Womersley, Robert S. 8 Fukushima, Masao 8 You, Zhaoyong 7 Xiang, Shuhuang 7 Zhang, Chao 6 Pong, Ting Kei 6 Sun, Hailin 5 Alefeld, Götz E. 5 Bian, Wei 5 Ye, Yinyu 4 Kelley, Carl T. 4 Lu, Zhaosong 4 Sloan, Ian Hugh 4 Tamma, Kumar K. 4 Wang, Zhengyu 4 Wets, Roger Jean-Baptiste 3 An, Congpei 3 Chen, Bintong 3 Meguid, Shaker A. 3 Nashed, Zuhair 3 Potra, Florian-Alexandru 3 Saldin, D. K. 3 Wang, Deren 3 Ye, Jane J. 3 Yuan, Ya-xiang 3 Zhou, Weijun 2 Batra, Romesh C. 2 Fang, Qing 2 Frommer, Andreas 2 Harp, G. R. 2 Hashimoto, Kouji 2 Huang, Joshua Zhexue 2 Jiang, Jie 2 Lin, Guihua 2 Liu, Xin 2 Mahmoud, Sayed 2 Matveev, Ivan A. 2 Phoon, Kok-Kwang 2 Sun, Defeng 2 Toh, Kim Chuan 2 Toint, Philippe L. 2 Wen, Bo 2 Wu, Di 2 Wu, Shulin 2 Xu, Fengmin 2 Yang, Lei 2 Zeng, Xiaoming 2 Zhang, Yanfang 2 Zhao, Ruhuai 2 Zhou, Yang 1 Aden, N. M. 1 Ait Rami, Mustapha 1 Alian, A. R. 1 Allan, Vicki H. 1 Almey, N. 1 Arupathi, R. 1 Astley, O. 1 Bai, Baoming 1 Benguigui, I. 1 Bławzdziewicz, Jerzy 1 Boelen, S. 1 Breda, Marco 1 Burke, James V. 1 Buxton, Oliver R. H. 1 Cai, Jueping 1 Chan, Cheong-ki K. 1 Chen, Xiaoshan 1 Chen, Zhiping 1 Cheng, Hao 1 Curtright, Thomas L. 1 Dai, Yu-Hong 1 De Giacomo, Giuseppe 1 De Nicola, Rocco 1 Demers, Jean-Guy 1 Doyon, M. 1 Du, Jingjing 1 Du, Shouqiang 1 Fang, Haitao 1 Feng, Yuan 1 Fukuda, Toshio 1 Gao, Bin 1 Gao, Kang 1 Garoff, Stephen 1 Ge, Dongdong 1 Ghanem, Roger G. 1 Greenish, Simon 1 Gregorio, P. 1 Grzegorczyk, Tomasz M. 1 Guo, Lei 1 Haberfield, C. M. 1 Haddad, M. J. 1 Haile, S. R. 1 Hayward, Vincent 1 He, Fang 1 Hong, Weijun 1 Huan, Xun 1 Hutchinson, John Woodside 1 Jiang, Houyuan ...and 78 more Co-Authors all top 5 Serials 20 SIAM Journal on Optimization 19 Mathematical Programming. Series A. Series B 11 Journal of Computational and Applied Mathematics 9 SIAM Journal on Numerical Analysis 9 Computational Optimization and Applications 6 SIAM Journal on Imaging Sciences 5 Numerical Functional Analysis and Optimization 5 Numerische Mathematik 5 SIAM Journal on Control and Optimization 5 Journal of Computational Mathematics 5 SIAM Journal on Scientific Computing 4 Acta Mechanica 4 Journal of Fluid Mechanics 4 Mathematics of Computation 4 Journal of Optimization Theory and Applications 4 Mechanics Research Communications 3 Computer Physics Communications 3 IMA Journal of Numerical Analysis 3 Mathematics of Operations Research 3 Numerical Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Computers and Structures 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 International Journal of Solids and Structures 2 International Journal for Numerical Methods in Engineering 2 Mathematica Numerica Sinica 2 Journal of Xi’an Jiaotong University 2 Journal of Chengdu University of Science and Technology 2 International Journal of Production Research 2 Linear Algebra and its Applications 2 Kexue Tongbao 2 Journal of Computer and Systems Sciences International 2 Numerical Linear Algebra with Applications 2 Optimization Methods & Software 2 RIMS Kokyuroku 1 Acta Informatica 1 Analysis Mathematica 1 Applicable Analysis 1 Artificial Intelligence 1 Computers and Electrical Engineering 1 Computers & Mathematics with Applications 1 European Journal of Physics 1 International Journal of Engineering Science 1 International Journal of Mechanical Sciences 1 International Journal for Numerical Methods in Fluids 1 International Journal of Plasticity 1 Journal of Applied Mechanics 1 Journal of Computational Physics 1 Ukrainian Mathematical Journal 1 Algebra Universalis 1 Applied Mathematics and Computation 1 Biometrika 1 The Computer Journal. Section A / Section B 1 Computing 1 Journal of the Operations Research Society of Japan 1 Systems & Control Letters 1 Statistics & Probability Letters 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 FGCS. Future Generation Computer Systems 1 Japan Journal of Industrial and Applied Mathematics 1 IEEE Transactions on Signal Processing 1 Journal of Global Optimization 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 1 International Journal of Computer Vision 1 Engineering Analysis with Boundary Elements 1 Journal of Applied Statistics 1 Journal of Discrete Mathematical Sciences & Cryptography 1 European Journal of Mechanics. A. Solids 1 Stochastic Environmental Research and Risk Assessment 1 Optimization and Engineering 1 IEEE Transactions on Image Processing 1 Fuzzy Optimization and Decision Making 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 Proceedings A. Royal Society of London all top 5 Fields 111 Numerical analysis (65-XX) 109 Operations research, mathematical programming (90-XX) 26 Mechanics of deformable solids (74-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 14 Computer science (68-XX) 10 Partial differential equations (35-XX) 10 Fluid mechanics (76-XX) 10 Information and communication theory, circuits (94-XX) 8 Statistics (62-XX) 7 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-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 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 166 Publications have been cited 2,793 times in 1,321 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. 134 1998 Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005Chen, X.; Liu, B. 132 2010 Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun 97 2000 Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527Chen, Xiaojun; Fukushima, Masao 95 2005 Convergence of Newton-like methods for singular operator equations using outer inverses. Zbl 0797.65047Nashed, M. Z.; Chen, X. 91 1993 Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu 89 2010 Convergence domains of certain iterative methods for solving nonlinear equations. Zbl 0645.65028Chen, Xiaojun; Yamamoto, Tetsuro 73 1989 Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012Chen, Xiaojun; Zhang, Chao; Fukushima, Masao 73 2009 Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043Chen, Xiaojun; Xiang, Shuhuang 69 2006 A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062Chen, Bintong; Chen, Xiaojun; Kanzow, Christian 61 2000 Stochastic \(R_0\) matrix linear complementarity problems. Zbl 1151.90052Fang, Haitao; Chen, Xiaojun; Fukushima, Masao 56 2007 Discrete-time indefinite LQ control with state and control dependent noises. Zbl 1035.49024Rami, M. Ait; Chen, X.; Zhou, X. Y. 51 2002 Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031Chen, Xiaojun; Zhou, Weijun 50 2010 Complexity of unconstrained \(L_2 - L_p\) minimization. Zbl 1285.90039Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu 47 2014 Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018Chen, Xiaojun; Xiang, Shuhuang 47 2007 Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang 46 2012 Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028Chen, Xiaojun; Wang, Zhengyu 42 2014 Herringbone buckling patterns of compressed thin films on compliant substrates. Zbl 1111.74362Chen, X.; Hutchinson, John W. 41 2004 On homotopy-smoothing methods for box-constrained variational inequalities. Zbl 0973.65051Chen, Xiaojun; Ye, Yinyu 40 1999 Non-Lipschitz \(\ell_p\)-regularization and box constrained model for image restoration. Zbl 1373.94080Chen, Xiaojun; Ng, Michael K.; Zhang, Chao 37 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 37 2017 Error bounds for approximation in Chebyshev points. Zbl 1201.65040Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong 37 2010 A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109Qi, Liqun; Chen, Xiaojun 36 1995 A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029Chen, Xiaojun; Qi, Liqun 36 1994 Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang 34 2013 Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075Bian, Wei; Chen, Xiaojun; Ye, Yinyu 34 2015 Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073Zhang, Chao; Chen, Xiaojun 34 2009 Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055Chen, Xiaojun; Wang, Zhengyu 31 2013 Proximal quasi-Newton methods for nondifferentiable convex optimization. Zbl 0946.90111Chen, Xiaojun; Fukushima, Masao 30 1999 Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. Zbl 1326.90062Chen, Xiaojun; Zhou, Weijun 29 2014 A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175Wen, Bo; Chen, Xiaojun; Pong, Ting Kei 29 2018 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 29 2017 Smoothing methods for complementarity problems and their applications: A survey. Zbl 0998.90078Chen, Xiaojun 28 2000 Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034Zhang, Chao; Chen, X. 27 2008 New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455Lin, Guihua; Chen, Xiaojun; Fukushima, Masao 27 2007 Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035Chen, Xiaojun; Womersley, Robert S. 24 2006 Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175Bian, Wei; Chen, Xiaojun 23 2013 Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B. 23 2017 Convergence of Newton’s method for singular smooth and nonsmooth equations using adaptive outer inverses. Zbl 0871.65047Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun 23 1997 Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299Bian, Wei; Chen, Xiaojun 23 2015 Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. Zbl 1168.90008Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao 23 2009 On preconditioned Uzawa methods and SOR methods for saddle-point problems. Zbl 0935.65055Chen, Xiaojun 21 1998 A superlinearly convergent method of feasible directions. Zbl 1112.90380Kostreva, M. M.; Chen, X. 21 2000 Newton’s method for quadratic stochastic programs with recourse. Zbl 0836.65078Chen, Xiaojun; Qi, Liqun; Womersley, Robert S. 20 1995 NT \(>\) NCP or monotone NCP. Zbl 0955.90132Chen, Bintong; Chen, Xiaojun 19 1999 Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations. Zbl 0881.65042Chen, Xiaojun 19 1997 Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei 19 2016 Computational existence proofs for spherical \(t\)-designs. Zbl 1208.65032Chen, Xiaojun; Frommer, Andreas; Lang, Bruno 19 2011 A smoothing method for a mathematical program with P-matrix linear complementarity constraints. Zbl 1046.90086Chen, Xiaojun; Fukushima, Masao 18 2004 Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182Chen, Xiaojun; Sun, Hailin; Xu, Huifu 18 2019 Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066Chen, Xiaojun; Xiang, Shuhuang 17 2013 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 A verification method for solutions of nonsmooth equations. Zbl 0882.65038Chen, Xiaojun 15 1997 A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056Chen, X.; Toh, K. C.; Phoon, K. K. 15 2006 A global linear and local quadratic continuation smoothing method for variational inequalities with box constraints. Zbl 0987.90079Chen, Bintong; Chen, Xiaojun 14 2000 Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin 14 2019 Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 14 2012 Minimizing the condition number of a Gram matrix. Zbl 1220.65055Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J. 14 2011 An SQP-type method and its application in stochastic programs. Zbl 1030.90142Wei, Z.; Qi, L.; Chen, X. 13 2003 Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 13 2010 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 A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang 12 2018 CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149Chen, Xiaojun; Lin, Guihua 12 2011 Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072Alefeld, G. E.; Chen, X.; Potra, F. A. 11 1999 A new nonlinear robust disturbance observer. Zbl 0986.93045Chen, X.; Fukuda, Toshio; Young, K. D. 11 2000 A parallel inexact Newton method for stochastic programs with recourse. Zbl 0854.90106Chen, Xiaojun; Womersley, Robert S. 11 1996 A preconditioning proximal Newton method for nondifferentiable convex optimization. Zbl 0871.90065Qi, Liqun; Chen, Xiaojun 11 1997 Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 1454.74008Zhang, W. X.; Wang, T. J.; Chen, X. 11 2010 Sparse solutions of linear complementarity problems. Zbl 1346.90776Chen, Xiaojun; Xiang, Shuhuang 11 2016 Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167Bian, Wei; Chen, Xiaojun 10 2017 Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations. Zbl 0699.65042Yamamoto, Tetsuro; Chen, Xiaojun 10 1990 An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J. 10 2017 A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015Alefeld, Goetz; Chen, Xiaojun 10 2008 Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131Zhou, Weijun; Chen, Xiaojun 10 2010 Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139Su, Z.; Zhu, G.; Chen, X.; Yang, Y. 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 Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009Chen, X.; Namah, G. 9 1997 Global and superlinear convergence of inexact Uzawa methods for saddle point problems with nondifferentiable mappings. Zbl 0916.65070Chen, Xiaojun 9 1998 Structural reliability analysis with imprecise random and interval fields. Zbl 1480.74297Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis 8 2018 Lagrangian globalization methods for nonlinear complementarity problems. Zbl 1049.90098Chen, X.; Qi, L.; Yang, Y. F. 8 2002 Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations. Zbl 0991.90123Jiang, Houyuan; Qi, Liqun; Chen, Xiaojun; Sun, Defeng 8 1996 Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068Chen, Xiaojun; Hashimoto, Kouji 7 2003 Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 1474.91008Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun 7 2019 First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025Chen, Xiaojun 7 2004 Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T. 7 2015 Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119Chen, Xiaojun; Kelley, C. T. 7 2016 Decoding the (73,37,13) quadratic residue code. Zbl 0819.94025Chen, X.; Reed, I. S.; Truong, T. K. 6 1994 Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. Zbl 0823.65048Chen, Xiaojun; Yamamoto, Tetsuro 6 1994 An overview of recent advances and evaluation of the virtual-pulse (VIP) time-integral methodology for general structural dynamics problems: Computational issues and implementation aspects. Zbl 0879.73075Tamma, K. K.; Chen, X.; Sha, D. 6 1996 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 Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B. 6 2015 Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183Chen, Xiaojun; Xiang, Shuhuang 6 2011 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 Regularizations for stochastic linear variational inequalities. Zbl 1342.90209Zhang, Yanfang; Chen, Xiaojun 5 2014 Computational error bounds for a differential linear variational inequality. Zbl 1256.65066Chen, Xiaojun; Wang, Zhengyu 5 2012 Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117Jiang, Jie; Chen, Xiaojun; Chen, Zhiping 5 2020 Two-stage stochastic variational inequalities: theory, algorithms and applications. Zbl 1474.90484Sun, Hai-Lin; Chen, Xiao-Jun 3 2021 Mathematical programs with complementarity constraints and a non-Lipschitz objective: optimality and approximation. Zbl 1480.90240Guo, Lei; Chen, Xiaojun 1 2021 Topology optimization of flexoelectric composites using computational homogenization. Zbl 07414346Chen, X.; Yvonnet, J.; Yao, S.; Park, H. S. 1 2021 Group sparse optimization for images recovery using capped folded concave functions. Zbl 1474.90507Pan, Lili; Chen, Xiaojun 1 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 1 2021 Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117Jiang, Jie; Chen, Xiaojun; Chen, Zhiping 5 2020 A Gauss-Seidel type method for dynamic nonlinear complementarity problems. Zbl 1454.65044Wu, Shu-Lin; Zhou, Tao; Chen, Xiaojun 2 2020 Structure evolution at early stage of boundary-layer transition: simulation and experiment. Zbl 1460.76386Jiang, X. Y.; Lee, C. B.; Chen, X.; Smith, C. R.; Linden, P. F. 2 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 1 2020 A smoothing active set method for linearly constrained non-Lipschitz nonconvex optimization. Zbl 07154031Zhang, Chao; Chen, Xiaojun 1 2020 Computation of second-order directional stationary points for group sparse optimization. Zbl 1428.90138Peng, Dingtao; Chen, Xiaojun 1 2020 The subdifferential of measurable composite max integrands and smoothing approximation. Zbl 1477.90044Burke, James V.; Chen, Xiaojun; Sun, Hailin 1 2020 Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182Chen, Xiaojun; Sun, Hailin; Xu, Huifu 18 2019 Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin 14 2019 Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 1474.91008Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun 7 2019 Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318Chen, Xiaojun; Toint, Ph. L.; Wang, H. 4 2019 Convergence of the EDIIS algorithm for nonlinear equations. Zbl 1408.65030Chen, Xiaojun; Kelley, C. T. 2 2019 Hypersonic boundary layer transition on a concave wall: stationary Görtler vortices. Zbl 1415.76429Chen, X.; Huang, G. L.; Lee, C. B. 1 2019 Entropy-based closure for probabilistic learning on manifolds. Zbl 1459.62239Soize, C.; Ghanem, R.; Safta, C.; Huan, X.; Vane, Z. P.; Oefelein, J.; Lacaze, G.; Najm, H. N.; Tang, Q.; Chen, X. 1 2019 A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175Wen, Bo; Chen, Xiaojun; Pong, Ting Kei 29 2018 A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang 12 2018 Structural reliability analysis with imprecise random and interval fields. Zbl 1480.74297Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis 8 2018 Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. Zbl 1401.90167Chen, Xiaojun; Womersley, Robert S. 4 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 3 2018 Spherical \(t_\epsilon\)-designs for approximations on the sphere. Zbl 06912357Zhou, Yang; Chen, Xiaojun 3 2018 An exponential integrator-based discontinuous Galerkin method for linear complementarity systems. Zbl 1460.65086Wang, Zhengyu; Chen, Xiaojun 1 2018 A nonmonotone alternating updating method for a class of matrix factorization problems. Zbl 1411.90283Yang, Lei; Pong, Ting Kei; 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 37 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 29 2017 Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B. 23 2017 Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167Bian, Wei; Chen, Xiaojun 10 2017 An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J. 10 2017 SAA-regularized methods for multiproduct price optimization under the pure characteristics demand model. Zbl 1375.90233Sun, Hailin; Su, Che-Lin; Chen, Xiaojun 4 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 Preface. Zbl 1378.00102 3 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 19 2016 Sparse solutions of linear complementarity problems. Zbl 1346.90776Chen, Xiaojun; Xiang, Shuhuang 11 2016 Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139Su, Z.; Zhu, G.; Chen, X.; Yang, Y. 9 2016 Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119Chen, Xiaojun; Kelley, C. T. 7 2016 A smoothing trust region filter algorithm for nonsmooth least squares problems. Zbl 1338.90313Chen, XiaoJun; Du, ShouQiang; Zhou, Yang 4 2016 A 3-parameter Gompertz distribution for survival data with competing risks, with an application to breast cancer data. Zbl 07281614Haile, S. R.; Jeong, J.-H.; Chen, X.; Cheng, Y. 3 2016 Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075Bian, Wei; Chen, Xiaojun; Ye, Yinyu 34 2015 Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299Bian, Wei; Chen, Xiaojun 23 2015 Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T. 7 2015 Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B. 6 2015 Snap-through buckling of initially curved microbeam subject to an electrostatic force. Zbl 1371.74106Chen, X.; Meguid, S. A. 3 2015 Complexity of unconstrained \(L_2 - L_p\) minimization. Zbl 1285.90039Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu 47 2014 Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028Chen, Xiaojun; Wang, Zhengyu 42 2014 Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. Zbl 1326.90062Chen, Xiaojun; Zhou, Weijun 29 2014 Regularizations for stochastic linear variational inequalities. Zbl 1342.90209Zhang, Yanfang; Chen, Xiaojun 5 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 Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang 34 2013 Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055Chen, Xiaojun; Wang, Zhengyu 31 2013 Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175Bian, Wei; Chen, Xiaojun 23 2013 Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066Chen, Xiaojun; Xiang, Shuhuang 17 2013 Coalescence of drops with mobile interfaces in a quiescent fluid. Zbl 1291.76048Nemer, M. B.; Santoro, P.; Chen, X.; Bławzdziewicz, J.; Loewenberg, M. 3 2013 Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang 46 2012 Non-Lipschitz \(\ell_p\)-regularization and box constrained model for image restoration. Zbl 1373.94080Chen, Xiaojun; Ng, Michael K.; Zhang, Chao 37 2012 Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S. 14 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 5 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 19 2011 Minimizing the condition number of a Gram matrix. Zbl 1220.65055Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J. 14 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 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. 132 2010 Lower bound theory of nonzero entries in solutions of \(\ell_2-\ell_p\) minimization. Zbl 1242.90174Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu 89 2010 Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031Chen, Xiaojun; Zhou, Weijun 50 2010 Error bounds for approximation in Chebyshev points. Zbl 1201.65040Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong 37 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. 13 2010 Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 1454.74008Zhang, W. X.; Wang, T. J.; Chen, X. 11 2010 Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131Zhou, Weijun; Chen, Xiaojun 10 2010 Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012Chen, Xiaojun; Zhang, Chao; Fukushima, Masao 73 2009 Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073Zhang, Chao; Chen, Xiaojun 34 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 23 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 Global error bounds for the extended vertical LCP. Zbl 1233.90267Zhang, Chao; Chen, Xiaojun; Xiu, Naihua 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 Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034Zhang, Chao; Chen, X. 27 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 56 2007 Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018Chen, Xiaojun; Xiang, Shuhuang 47 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 69 2006 Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035Chen, Xiaojun; Womersley, Robert S. 24 2006 A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056Chen, X.; Toh, K. C.; Phoon, K. K. 15 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 95 2005 Finite difference smoothing solutions of nonsmooth constrained optimal control problems. Zbl 1062.49023Chen, Xiaojun 1 2005 ...and 66 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,587 Authors 63 Argyros, Ioannis Konstantinos 61 Chen, Xiaojun 34 Qi, Liqun 29 Xiang, Shuhuang 25 Hilout, Saïd 24 Ma, Changfeng 22 Huang, Zheng-Hai 17 Xiu, Naihua 16 Fukushima, Masao 16 Zeng, Shengda 15 Li, Chaoqian 14 Liu, Zhenhai 14 Wei, Yimin 14 Wu, Chunlin 13 Du, Shouqiang 13 Lin, Guihua 13 Sun, Zhe 13 Womersley, Robert S. 13 Ye, Jane J. 12 Li, Yaotang 12 Luo, Meiju 11 Huang, Nan-Jing 11 Peña, Juan Manuel 11 Śmietański, Marek J. 11 Zhang, Liwei 10 Liu, Hongwei 10 Ma, Jipu 10 Pong, Ting Kei 10 Sun, Defeng 10 Yamamoto, Tetsuro 9 Gao, Lei 9 Li, Donghui 9 Lu, Zhaosong 9 Shanbhag, Uday V. 9 Wei, Zengxin 9 Xu, Huifu 8 Chen, Jein-Shan 8 Chen, Zhiping 8 Gao, Yan 8 Garcia Esnaola, Marta 8 Huang, Yakui 8 Kelley, Carl T. 8 Kong, Lingchen 8 Migórski, Stanisław 8 Pang, Jong-Shi 8 Sloan, Ian Hugh 8 Sun, Hailin 8 Yuan, Gonglin 8 Yuan, Ya-xiang 8 Zhang, Jin 7 Alefeld, Götz E. 7 Fang, Qing 7 Hintermüller, Michael 7 Huang, Na 7 Huang, Qianglian 7 Jiang, Jie 7 Jiao, Yuling 7 Li, Shengjie 7 Li, Xiangli 7 Lu, Xiliang 7 Sun, Jie 7 Wang, Zhengyu 7 Zeng, Jinping 7 Zhang, Chao 6 Dai, Pingfan 6 Fang, Shu-Cherng 6 Han, Deren 6 Han, Jiye 6 Hesse, Kerstin 6 Liu, Guidong 6 Luo, ZiYan 6 Martínez, José Mario 6 Raciti, Fabio 6 Toint, Philippe L. 6 Wan, Zhong 6 Xu, Fengmin 6 Xu, Mengwei 6 Zhou, Guanglu 5 Bian, Wei 5 Brogliato, Bernard 5 Dai, Yu-Hong 5 He, Guo 5 Li, Guoyin 5 Li, Yufan 5 Lin, Gui-Hua 5 Liu, Wanquan 5 Ma, Huiqiang 5 Motreanu, Dumitru 5 Ng, Michael Kwok-Po 5 Pan, Lili 5 Pan, Shaohua 5 Tang, Jia 5 Wang, Yuwen 5 Wen, Zaiwen 5 Wu, Jia 5 Xu, Hongru 5 Yang, Zhenping 5 Ye, Yinyu 5 Zeng, Chao 5 Zhang, Guofeng ...and 1,487 more Authors all top 5 Cited in 190 Serials 87 Applied Mathematics and Computation 87 Journal of Computational and Applied Mathematics 72 Computational Optimization and Applications 71 Journal of Optimization Theory and Applications 54 Mathematical Programming. 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