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## Chen, Xiaojun

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 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
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#### 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
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#### 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
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#### 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)

#### 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 0894.90143
Chen, X.; Qi, L.; Sun, D.
1998
Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005
Chen, X.; Liu, B.
2010
Convergence of Newton-like methods for singular operator equations using outer inverses. Zbl 0797.65047
Nashed, M. Z.; Chen, X.
1993
Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527
Chen, Xiaojun; Fukushima, Masao
2005
Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
2000
Lower bound theory of nonzero entries in solutions of $$\ell_2-\ell_p$$ minimization. Zbl 1242.90174
Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu
2010
Convergence domains of certain iterative methods for solving nonlinear equations. Zbl 0645.65028
Chen, Xiaojun; Yamamoto, Tetsuro
1989
Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012
Chen, Xiaojun; Zhang, Chao; Fukushima, Masao
2009
Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043
Chen, Xiaojun; Xiang, Shuhuang
2006
A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062
Chen, Bintong; Chen, Xiaojun; Kanzow, Christian
2000
Stochastic $$R_0$$ matrix linear complementarity problems. Zbl 1151.90052
Fang, Haitao; Chen, Xiaojun; Fukushima, Masao
2007
On homotopy-smoothing methods for box-constrained variational inequalities. Zbl 0973.65051
Chen, Xiaojun; Ye, Yinyu
1999
Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031
Chen, Xiaojun; Zhou, Weijun
2010
Complexity of unconstrained $$L_2 - L_p$$ minimization. Zbl 1285.90039
Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu
2014
Herringbone buckling patterns of compressed thin films on compliant substrates. Zbl 1111.74362
Chen, X.; Hutchinson, John W.
2004
Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098
Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang
2012
Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018
Chen, Xiaojun; Xiang, Shuhuang
2007
A globally convergent successive approximation method for severely nonsmooth equations. Zbl 0833.90109
Qi, Liqun; Chen, Xiaojun
1995
A parameterized Newton method and a quasi-Newton method for nonsmooth equations. Zbl 0821.65029
Chen, Xiaojun; Qi, Liqun
1994
Error bounds for approximation in Chebyshev points. Zbl 1201.65040
Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong
2010
Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073
Zhang, Chao; Chen, Xiaojun
2009
Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075
Bian, Wei; Chen, Xiaojun; Ye, Yinyu
2015
Non-Lipschitz $$\ell_p$$-regularization and box constrained model for image restoration. Zbl 1373.94080
Chen, Xiaojun; Ng, Michael K.; Zhang, Chao
2012
Smoothing methods for complementarity problems and their applications: A survey. Zbl 0998.90078
Chen, Xiaojun
2000
Proximal quasi-Newton methods for nondifferentiable convex optimization. Zbl 0946.90111
Chen, Xiaojun; Fukushima, Masao
1999
New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455
Lin, Guihua; Chen, Xiaojun; Fukushima, Masao
2007
Alternating direction method of multipliers for a class of nonconvex and nonsmooth problems with applications to background/foreground extraction. Zbl 1364.90278
Yang, Lei; Pong, Ting Kei; Chen, Xiaojun
2017
Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238
Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang
2013
Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034
Zhang, Chao; Chen, X.
2008
Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028
Chen, Xiaojun; Wang, Zhengyu
2014
Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035
Chen, Xiaojun; Womersley, Robert S.
2006
NT $$>$$ NCP or monotone NCP. Zbl 0955.90132
Chen, Bintong; Chen, Xiaojun
1999
Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. Zbl 1168.90008
Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao
2009
Convergence of Newton’s method for singular smooth and nonsmooth equations using adaptive outer inverses. Zbl 0871.65047
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
1997
Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175
Bian, Wei; Chen, Xiaojun
2013
Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055
Chen, Xiaojun; Wang, Zhengyu
2013
Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299
Bian, Wei; Chen, Xiaojun
2015
Convergence of the reweighted $$\ell_1$$ minimization algorithm for $$\ell_2-\ell_p$$ minimization. Zbl 1326.90062
Chen, Xiaojun; Zhou, Weijun
2014
Newton’s method for quadratic stochastic programs with recourse. Zbl 0836.65078
Chen, Xiaojun; Qi, Liqun; Womersley, Robert S.
1995
Computational existence proofs for spherical $$t$$-designs. Zbl 1208.65032
Chen, Xiaojun; Frommer, Andreas; Lang, Bruno
2011
A smoothing method for a mathematical program with P-matrix linear complementarity constraints. Zbl 1046.90086
Chen, Xiaojun; Fukushima, Masao
2004
On preconditioned Uzawa methods and SOR methods for saddle-point problems. Zbl 0935.65055
Chen, Xiaojun
1998
Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations. Zbl 0881.65042
Chen, Xiaojun
1997
Convergence of the BFGS method for $$LC^ 1$$ convex constrained optimization. Zbl 0871.90062
Chen, Xiaojun
1996
On smoothing methods for the $$P_{0}$$ matrix linear complementarity problem. Zbl 0994.65077
Chen, Xiaojun; Ye, Yinyu
2000
Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181
Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei
2016
A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056
Chen, X.; Toh, K. C.; Phoon, K. K.
2006
A verification method for solutions of nonsmooth equations. Zbl 0882.65038
Chen, Xiaojun
1997
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066
Chen, Xiaojun; Xiang, Shuhuang
2013
An SQP-type method and its application in stochastic programs. Zbl 1030.90142
Wei, Z.; Qi, L.; Chen, X.
2003
A global linear and local quadratic continuation smoothing method for variational inequalities with box constraints. Zbl 0987.90079
Chen, Bintong; Chen, Xiaojun
2000
Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157
Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B.
2017
Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
2012
Minimizing the condition number of a Gram matrix. Zbl 1220.65055
Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J.
2011
Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108
Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun
2001
Random test problems and parallel methods for quadratic programs and quadratic stochastic programs. Zbl 0980.90060
Chen, Xiaojun; Womersley, Robert S.
2000
CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149
Chen, Xiaojun; Lin, Guihua
2011
Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 06035903
Zhang, W. X.; Wang, T. J.; Chen, X.
2010
Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
2010
Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072
Alefeld, G. E.; Chen, X.; Potra, F. A.
1999
A parallel inexact Newton method for stochastic programs with recourse. Zbl 0854.90106
Chen, Xiaojun; Womersley, Robert S.
1996
Linear convergence of proximal gradient algorithm with extrapolation for a class of nonconvex nonsmooth minimization problems. Zbl 1359.90138
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
2017
Sparse solutions of linear complementarity problems. Zbl 1346.90776
Chen, Xiaojun; Xiang, Shuhuang
2016
A preconditioning proximal Newton method for nondifferentiable convex optimization. Zbl 0871.90065
Qi, Liqun; Chen, Xiaojun
1997
Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations. Zbl 0699.65042
Yamamoto, Tetsuro; Chen, Xiaojun
1990
A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
2018
An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119
Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J.
2017
A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015
Alefeld, Goetz; Chen, Xiaojun
2008
Global and superlinear convergence of inexact Uzawa methods for saddle point problems with nondifferentiable mappings. Zbl 0916.65070
Chen, Xiaojun
1998
A feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162
Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue
2012
Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131
Zhou, Weijun; Chen, Xiaojun
2010
Lagrangian globalization methods for nonlinear complementarity problems. Zbl 1049.90098
Chen, X.; Qi, L.; Yang, Y. F.
2002
First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025
Chen, Xiaojun
2004
Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068
Chen, Xiaojun; Hashimoto, Kouji
2003
Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009
Chen, X.; Namah, G.
1997
Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations. Zbl 0991.90123
Jiang, Houyuan; Qi, Liqun; Chen, Xiaojun; Sun, Defeng
1996
Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167
Bian, Wei; Chen, Xiaojun
2017
Implicit solution function of P$$_{0}$$ and Z matrix linear complementarity constraints. Zbl 1218.90183
Chen, Xiaojun; Xiang, Shuhuang
2011
Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046
Alefeld, G. E.; Chen, X.; Potra, F. A.
2002
An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations. Zbl 0695.65032
Yamamoto, Tetsuro; Chen, Xiaojun
1990
Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182
Chen, Xiaojun; Sun, Hailin; Xu, Huifu
2019
Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134
Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin
2019
Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119
Chen, Xiaojun; Kelley, C. T.
2016
Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121
Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T.
2015
Computational error bounds for a differential linear variational inequality. Zbl 1256.65066
Chen, Xiaojun; Wang, Zhengyu
2012
Determining plastic properties of a material with residual stress by using conical indentation. Zbl 1178.74072
Yan, Jin; Karlsson, A. M.; Chen, X.
2007
Computational formula of depth for Catmull-Clark subdivision surfaces. Zbl 1097.65029
Zeng, Xiao-Ming; Chen, X. J.
2006
Verification for existence of solutions of linear complementarity problems. Zbl 0977.65056
Chen, Xiaojun; Shogenji, Yukihiro; Yamasaki, Maretsugu
2001
Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. Zbl 0823.65048
Chen, Xiaojun; Yamamoto, Tetsuro
1994
A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171
Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang
2018
Invariants of the velocity-gradient tensor in a spatially developing inhomogeneous turbulent flow. Zbl 1383.76179
Buxton, O. R. H.; Breda, M.; Chen, X.
2017
Regularizations for stochastic linear variational inequalities. Zbl 1342.90209
Zhang, Yanfang; Chen, Xiaojun
2014
Validated solutions of saddle point linear systems. Zbl 1176.65031
Kimura, Takuma; Chen, Xiaojun
2009
Chen, X.; Kim, K. S.
2003
Smoothing Newton methods for nonsmooth Dirichlet problems. Zbl 0932.65112
Chen, Xiaojun; Matsunaga, Nami; Yamamoto, Tetsuro
1999
Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318
Chen, Xiaojun; Toint, Ph. L.; Wang, H.
2019
Structural reliability analysis with imprecise random and interval fields. Zbl 07166627
Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis
2018
Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139
Su, Z.; Zhu, G.; Chen, X.; Yang, Y.
2016
A smoothing trust region filter algorithm for nonsmooth least squares problems. Zbl 1338.90313
Chen, XiaoJun; Du, ShouQiang; Zhou, Yang
2016
A class of quadratic programs with linear complementarity constraints. Zbl 1191.90042
Chen, Xiaojun; Ye, Jane J.
2009
Structure evolution at early stage of boundary-layer transition: simulation and experiment. Zbl 07193492
Jiang, X. Y.; Lee, C. B.; Chen, X.; Smith, C. R.; Linden, P. F.
2020
Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182
Chen, Xiaojun; Sun, Hailin; Xu, Huifu
2019
Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134
Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin
2019
Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318
Chen, Xiaojun; Toint, Ph. L.; Wang, H.
2019
Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 07266714
Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun
2019
Convergence of the EDIIS algorithm for nonlinear equations. Zbl 1408.65030
Chen, Xiaojun; Kelley, C. T.
2019
A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
2018
A new first-order algorithmic framework for optimization problems with orthogonality constraints. Zbl 1382.65171
Gao, Bin; Liu, Xin; Chen, Xiaojun; Yuan, Ya-xiang
2018
Structural reliability analysis with imprecise random and interval fields. Zbl 07166627
Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis
2018
Spherical $$t_\epsilon$$-designs for approximations on the sphere. Zbl 06912357
Zhou, Yang; Chen, Xiaojun
2018
A smoothing direct search method for Monte Carlo-based bound constrained composite nonsmooth optimization. Zbl 06904998
Chen, Xiaojun; Kelley, C. T.; Xu, Fengmin; Zhang, Zaikun
2018
An exponential integrator-based discontinuous Galerkin method for linear complementarity systems. Zbl 06983875
Wang, Zhengyu; Chen, Xiaojun
2018
Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. Zbl 1401.90167
Chen, Xiaojun; Womersley, Robert S.
2018
Alternating direction method of multipliers for a class of nonconvex and nonsmooth problems with applications to background/foreground extraction. Zbl 1364.90278
Yang, Lei; Pong, Ting Kei; Chen, Xiaojun
2017
Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157
Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B.
2017
Linear convergence of proximal gradient algorithm with extrapolation for a class of nonconvex nonsmooth minimization problems. Zbl 1359.90138
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
2017
An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119
Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J.
2017
Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167
Bian, Wei; Chen, Xiaojun
2017
Invariants of the velocity-gradient tensor in a spatially developing inhomogeneous turbulent flow. Zbl 1383.76179
Buxton, O. R. H.; Breda, M.; Chen, X.
2017
A parallel iterative algorithm for differential linear complementarity problems. Zbl 1379.65050
Wu, Shu-Lin; Chen, Xiaojun
2017
SAA-regularized methods for multiproduct price optimization under the pure characteristics demand model. Zbl 1375.90233
Sun, Hailin; Su, Che-Lin; Chen, Xiaojun
2017
Preface. Zbl 1378.00102
Chen, Xiaojun (ed.); Wets, Roger (ed.)
2017
Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181
Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei
2016
Sparse solutions of linear complementarity problems. Zbl 1346.90776
Chen, Xiaojun; Xiang, Shuhuang
2016
Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119
Chen, Xiaojun; Kelley, C. T.
2016
Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139
Su, Z.; Zhu, G.; Chen, X.; Yang, Y.
2016
A smoothing trust region filter algorithm for nonsmooth least squares problems. Zbl 1338.90313
Chen, XiaoJun; Du, ShouQiang; Zhou, Yang
2016
Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075
Bian, Wei; Chen, Xiaojun; Ye, Yinyu
2015
Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299
Bian, Wei; Chen, Xiaojun
2015
Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121
Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T.
2015
Snap-through buckling of initially curved microbeam subject to an electrostatic force. Zbl 1371.74106
Chen, X.; Meguid, S. A.
2015
Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138
Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B.
2015
Complexity of unconstrained $$L_2 - L_p$$ minimization. Zbl 1285.90039
Chen, Xiaojun; Ge, Dongdong; Wang, Zizhuo; Ye, Yinyu
2014
Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028
Chen, Xiaojun; Wang, Zhengyu
2014
Convergence of the reweighted $$\ell_1$$ minimization algorithm for $$\ell_2-\ell_p$$ minimization. Zbl 1326.90062
Chen, Xiaojun; Zhou, Weijun
2014
Regularizations for stochastic linear variational inequalities. Zbl 1342.90209
Zhang, Yanfang; Chen, Xiaojun
2014
Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238
Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang
2013
Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175
Bian, Wei; Chen, Xiaojun
2013
Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055
Chen, Xiaojun; Wang, Zhengyu
2013
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066
Chen, Xiaojun; Xiang, Shuhuang
2013
Coalescence of drops with mobile interfaces in a quiescent fluid. Zbl 1291.76048
Nemer, M. B.; Santoro, P.; Chen, X.; Bławzdziewicz, J.; Loewenberg, M.
2013
Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098
Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang
2012
Non-Lipschitz $$\ell_p$$-regularization and box constrained model for image restoration. Zbl 1373.94080
Chen, Xiaojun; Ng, Michael K.; Zhang, Chao
2012
Regularized least squares approximations on the sphere using spherical designs. Zbl 1253.65035
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
2012
A feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162
Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue
2012
Computational error bounds for a differential linear variational inequality. Zbl 1256.65066
Chen, Xiaojun; Wang, Zhengyu
2012
Structured backward errors for generalized saddle point systems. Zbl 1256.65026
Chen, Xiao Shan; Li, Wen; Chen, Xiaojun; Liu, Jun
2012
Computational existence proofs for spherical $$t$$-designs. Zbl 1208.65032
Chen, Xiaojun; Frommer, Andreas; Lang, Bruno
2011
Minimizing the condition number of a Gram matrix. Zbl 1220.65055
Chen, Xiaojun; Womersley, Robert S.; Ye, Jane J.
2011
CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149
Chen, Xiaojun; Lin, Guihua
2011
Implicit solution function of P$$_{0}$$ and Z matrix linear complementarity constraints. Zbl 1218.90183
Chen, Xiaojun; Xiang, Shuhuang
2011
Computation of generalized differentials in nonlinear complementarity problems. Zbl 1261.90066
Xiang, Shuhuang; Chen, Xiaojun
2011
A new complexity metric for FH/SS sequences using fuzzy entropy. Zbl 1267.94002
Chen, Xiaojun; Si, Jiangbo; Li, Zan; Cai, Jueping; Bai, Baoming
2011
Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005
Chen, X.; Liu, B.
2010
Lower bound theory of nonzero entries in solutions of $$\ell_2-\ell_p$$ minimization. Zbl 1242.90174
Chen, Xiaojun; Xu, Fengmin; Ye, Yinyu
2010
Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. Zbl 1200.65031
Chen, Xiaojun; Zhou, Weijun
2010
Error bounds for approximation in Chebyshev points. Zbl 1201.65040
Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong
2010
Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 06035903
Zhang, W. X.; Wang, T. J.; Chen, X.
2010
Well conditioned spherical designs for integration and interpolation on the two-sphere. Zbl 1232.65043
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
2010
Global convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131
Zhou, Weijun; Chen, Xiaojun
2010
Robust solution of monotone stochastic linear complementarity problems. Zbl 1165.90012
Chen, Xiaojun; Zhang, Chao; Fukushima, Masao
2009
Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073
Zhang, Chao; Chen, Xiaojun
2009
Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. Zbl 1168.90008
Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao
2009
Validated solutions of saddle point linear systems. Zbl 1176.65031
Kimura, Takuma; Chen, Xiaojun
2009
A class of quadratic programs with linear complementarity constraints. Zbl 1191.90042
Chen, Xiaojun; Ye, Jane J.
2009
Multistage scenario-based interval-stochastic programming for planning water resources allocation. Zbl 1418.90183
Li, Y. P.; Huang, G. H.; Chen, X.
2009
Global error bounds for the extended vertical LCP. Zbl 1233.90267
Zhang, Chao; Chen, Xiaojun; Xiu, Naihua
2009
Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034
Zhang, Chao; Chen, X.
2008
A regularized projection method for complementarity problems with non-Lipschitzian functions. Zbl 1171.90015
Alefeld, Goetz; Chen, Xiaojun
2008
Implicit Runge-Kutta methods for Lipschitz continuous ordinary differential equations. Zbl 1170.65062
Chen, Xiaojun; Mahmoud, Sayed
2008
A verified inexact implicit Runge-Kutta method for nonsmooth ODEs. Zbl 1147.65057
Mahmoud, Sayed; Chen, Xiaojun
2008
Stochastic $$R_0$$ matrix linear complementarity problems. Zbl 1151.90052
Fang, Haitao; Chen, Xiaojun; Fukushima, Masao
2007
Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018
Chen, Xiaojun; Xiang, Shuhuang
2007
New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455
Lin, Guihua; Chen, Xiaojun; Fukushima, Masao
2007
Determining plastic properties of a material with residual stress by using conical indentation. Zbl 1178.74072
Yan, Jin; Karlsson, A. M.; Chen, X.
2007
Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot’s problem. Zbl 1173.74405
Chen, X.; Phoon, K. K.; Toh, K. C.
2007
Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043
Chen, Xiaojun; Xiang, Shuhuang
2006
Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035
Chen, Xiaojun; Womersley, Robert S.
2006
A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. Zbl 1114.74056
Chen, X.; Toh, K. C.; Phoon, K. K.
2006
Computational formula of depth for Catmull-Clark subdivision surfaces. Zbl 1097.65029
Zeng, Xiao-Ming; Chen, X. J.
2006
A novel DCT-based algorithm for computing the modulated complex lapped transform. Zbl 1374.94695
Chen, X.; Dai, Q.
2006
On multiscale significance of Rice’s normality structure. Zbl 1192.74009
Yang, Q.; Chen, X.; Zhou, W. Y.
2006
Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527
Chen, Xiaojun; Fukushima, Masao
2005
Finite difference smoothing solutions of nonsmooth constrained optimal control problems. Zbl 1062.49023
Chen, Xiaojun
2005
Herringbone buckling patterns of compressed thin films on compliant substrates. Zbl 1111.74362
Chen, X.; Hutchinson, John W.
2004
A smoothing method for a mathematical program with P-matrix linear complementarity constraints. Zbl 1046.90086
Chen, Xiaojun; Fukushima, Masao
2004
First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025
Chen, Xiaojun
2004
An SQP-type method and its application in stochastic programs. Zbl 1030.90142
Wei, Z.; Qi, L.; Chen, X.
2003
Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068
Chen, Xiaojun; Hashimoto, Kouji
2003
Chen, X.; Kim, K. S.
2003
The effects of thin and ultrathin liquid films on dynamic wetting. Zbl 1186.76101
Chen, X.; Ramé, E.; Garoff, S.
2003
On characterizations and regularity of the solution of bilateral obstacle problems. Zbl 1021.65032
Mermri, B.; Chen, X.
2003
Lagrangian globalization methods for nonlinear complementarity problems. Zbl 1049.90098
Chen, X.; Qi, L.; Yang, Y. F.
2002
Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046
Alefeld, G. E.; Chen, X.; Potra, F. A.
2002
On convergence of SOR methods for nonsmooth equations. Zbl 1071.65072
Chen, Xiaojun
2002
Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108
Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun
2001
Verification for existence of solutions of linear complementarity problems. Zbl 0977.65056
Chen, Xiaojun; Shogenji, Yukihiro; Yamasaki, Maretsugu
2001
A superlinearly and globally convergent method for reaction and diffusion problems with a non-Lipschitzian operator. Zbl 0998.65095
Chen, X.
2001
Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
2000
A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062
Chen, Bintong; Chen, Xiaojun; Kanzow, Christian
2000
...and 42 more Documents
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#### 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
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#### 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. Series A. Series B 48 Numerical Algorithms 36 Numerical Functional Analysis and Optimization 30 SIAM Journal on Optimization 28 Journal of Global Optimization 25 Fuzzy Optimization and Decision Making 23 Soft Computing 20 Computers & Mathematics with Applications 19 Optimization Methods & Software 19 Journal of Applied Mathematics and Computing 19 Journal of Industrial and Management Optimization 18 Optimization 17 Linear Algebra and its Applications 16 International Journal of Computer Mathematics 15 Journal of Scientific Computing 14 Journal of Mathematical Analysis and Applications 14 Journal of the Mechanics and Physics of Solids 14 Mathematics of Computation 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 SIAM Journal on Scientific Computing 14 Mathematical Problems in Engineering 14 Optimization Letters 12 Numerische Mathematik 12 Applied Mathematical Modelling 12 Abstract and Applied Analysis 11 Applied Mathematics Letters 11 European Journal of Operational Research 10 Applied Numerical Mathematics 10 Advances in Computational Mathematics 10 Journal of Applied Mathematics 10 SIAM Journal on Imaging Sciences 9 Science China. Mathematics 8 Computer Methods in Applied Mechanics and Engineering 8 International Journal of Solids and Structures 8 SIAM Journal on Numerical Analysis 8 Operations Research Letters 8 Acta Mathematicae Applicatae Sinica. English Series 8 Annals of Operations Research 8 Applications of Mathematics 8 Numerical Linear Algebra with Applications 8 Computational and Applied Mathematics 8 European Journal of Mechanics. A. Solids 7 Inverse Problems 7 Linear and Multilinear Algebra 7 Computing 7 Journal of Complexity 7 Journal of Inequalities and Applications 6 Acta Mechanica 6 International Journal of Engineering Science 6 Journal of Fluid Mechanics 6 Calcolo 6 Mathematics of Operations Research 6 Asia-Pacific Journal of Operational Research 6 Applied Mathematics. Series B (English Edition) 6 Mathematical Methods of Operations Research 6 Acta Mathematica Sinica. English Series 6 Optimization and Engineering 6 Set-Valued and Variational Analysis 6 Journal of the Operations Research Society of China 5 Journal of Computational Physics 5 Information Sciences 5 Science in China. Series A 5 Applied and Computational Harmonic Analysis 5 Inverse Problems and Imaging 5 Journal of Nonlinear Science and Applications 4 International Journal of Plasticity 4 Mathematical Methods in the Applied Sciences 4 Journal of Approximation Theory 4 SIAM Journal on Control and Optimization 4 Numerical Methods for Partial Differential Equations 4 Japan Journal of Industrial and Applied Mathematics 4 Pattern Recognition 4 Nonlinear Analysis. Real World Applications 4 Journal of Intelligent and Fuzzy Systems 4 Frontiers of Mathematics in China 4 Numerical Algebra, Control and Optimization 3 International Journal for Numerical and Analytical Methods in Geomechanics 3 Journal of the Franklin Institute 3 International Journal for Numerical Methods in Engineering 3 Journal of Differential Equations 3 Applied Mathematics and Mechanics. (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
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#### 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)

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