## Chen, Xiaojun

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 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
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### 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
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### 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
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### 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)

### 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 0894.90143
Chen, X.; Qi, L.; Sun, D.
1998
Existence and uniqueness theorem for uncertain differential equations. Zbl 1196.34005
Chen, X.; Liu, B.
2010
Smoothing methods and semismooth methods for nondifferentiable operator equations. Zbl 0979.65046
Chen, Xiaojun; Nashed, Zuhair; Qi, Liqun
2000
Expected residual minimization method for stochastic linear complementarity problems. Zbl 1162.90527
Chen, Xiaojun; Fukushima, Masao
2005
Convergence of Newton-like methods for singular operator equations using outer inverses. Zbl 0797.65047
Nashed, M. Z.; Chen, X.
1993
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
Discrete-time indefinite LQ control with state and control dependent noises. Zbl 1035.49024
Rami, M. Ait; Chen, X.; Zhou, X. Y.
2002
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
Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018
Chen, Xiaojun; Xiang, Shuhuang
2007
Stochastic variational inequalities: residual minimization smoothing sample average approximations. Zbl 1263.90098
Chen, Xiaojun; Wets, Roger J.-B.; Zhang, Yanfang
2012
Differential variational inequality approach to dynamic games with shared constraints. Zbl 1302.91028
Chen, Xiaojun; Wang, Zhengyu
2014
Herringbone buckling patterns of compressed thin films on compliant substrates. Zbl 1111.74362
Chen, X.; Hutchinson, John W.
2004
On homotopy-smoothing methods for box-constrained variational inequalities. Zbl 0973.65051
Chen, Xiaojun; Ye, Yinyu
1999
Non-Lipschitz $$\ell_p$$-regularization and box constrained model for image restoration. Zbl 1373.94080
Chen, Xiaojun; Ng, Michael K.; Zhang, Chao
2012
Alternating direction method of multipliers for a class of nonconvex and nonsmooth problems with applications to background/foreground extraction. Zbl 1364.90278
Yang, Lei; Pong, Ting Kei; Chen, Xiaojun
2017
Error bounds for approximation in Chebyshev points. Zbl 1201.65040
Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong
2010
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
Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238
Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang
2013
Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization. Zbl 1318.90075
Bian, Wei; Chen, Xiaojun; Ye, Yinyu
2015
Smoothing projected gradient method and its application to stochastic linear complementarity problems. Zbl 1204.65073
Zhang, Chao; Chen, Xiaojun
2009
Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055
Chen, Xiaojun; Wang, Zhengyu
2013
Proximal quasi-Newton methods for nondifferentiable convex optimization. Zbl 0946.90111
Chen, Xiaojun; Fukushima, Masao
1999
Convergence of the reweighted $$\ell_1$$ minimization algorithm for $$\ell_2-\ell_p$$ minimization. Zbl 1326.90062
Chen, Xiaojun; Zhou, Weijun
2014
A proximal difference-of-convex algorithm with extrapolation. Zbl 1401.90175
Wen, Bo; Chen, Xiaojun; Pong, Ting Kei
2018
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
Smoothing methods for complementarity problems and their applications: A survey. Zbl 0998.90078
Chen, Xiaojun
2000
Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty. Zbl 1163.90034
Zhang, Chao; Chen, X.
2008
New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC. Zbl 1172.90455
Lin, Guihua; Chen, Xiaojun; Fukushima, Masao
2007
Existence of solutions to systems of underdetermined equations and spherical designs. Zbl 1129.65035
Chen, Xiaojun; Womersley, Robert S.
2006
Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175
Bian, Wei; Chen, Xiaojun
2013
Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157
Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B.
2017
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
Linearly constrained non-Lipschitz optimization for image restoration. Zbl 1327.90299
Bian, Wei; Chen, Xiaojun
2015
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
On preconditioned Uzawa methods and SOR methods for saddle-point problems. Zbl 0935.65055
Chen, Xiaojun
1998
A superlinearly convergent method of feasible directions. Zbl 1112.90380
Kostreva, M. M.; Chen, X.
2000
Newton’s method for quadratic stochastic programs with recourse. Zbl 0836.65078
Chen, Xiaojun; Qi, Liqun; Womersley, Robert S.
1995
NT $$>$$ NCP or monotone NCP. Zbl 0955.90132
Chen, Bintong; Chen, Xiaojun
1999
Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations. Zbl 0881.65042
Chen, Xiaojun
1997
Penalty methods for a class of non-Lipschitz optimization problems. Zbl 1342.90181
Chen, Xiaojun; Lu, Zhaosong; Pong, Ting Kei
2016
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
Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems. Zbl 1418.90182
Chen, Xiaojun; Sun, Hailin; Xu, Huifu
2019
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066
Chen, Xiaojun; Xiang, Shuhuang
2013
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
A verification method for solutions of nonsmooth equations. Zbl 0882.65038
Chen, Xiaojun
1997
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 global linear and local quadratic continuation smoothing method for variational inequalities with box constraints. Zbl 0987.90079
Chen, Bintong; Chen, Xiaojun
2000
Convergence analysis of sample average approximation of two-stage stochastic generalized equations. Zbl 1410.90134
Chen, Xiaojun; Shapiro, Alexander; Sun, Hailin
2019
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
An SQP-type method and its application in stochastic programs. Zbl 1030.90142
Wei, Z.; Qi, L.; Chen, X.
2003
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
Random test problems and parallel methods for quadratic programs and quadratic stochastic programs. Zbl 0980.90060
Chen, Xiaojun; Womersley, Robert S.
2000
Superconvergence and nonsuperconvergence of the Shortley-Weller approximations for Dirichlet problems. Zbl 0991.65108
Yamamoto, Tetsuro; Fang, Qing; Chen, Xiaojun
2001
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
CVaR-based formulation and approximation method for stochastic variational inequalities. Zbl 1246.90149
Chen, Xiaojun; Lin, Guihua
2011
Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072
Alefeld, G. E.; Chen, X.; Potra, F. A.
1999
A new nonlinear robust disturbance observer. Zbl 0986.93045
Chen, X.; Fukuda, Toshio; Young, K. D.
2000
A parallel inexact Newton method for stochastic programs with recourse. Zbl 0854.90106
Chen, Xiaojun; Womersley, Robert S.
1996
A preconditioning proximal Newton method for nondifferentiable convex optimization. Zbl 0871.90065
Qi, Liqun; Chen, Xiaojun
1997
Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 1454.74008
Zhang, W. X.; Wang, T. J.; Chen, X.
2010
Sparse solutions of linear complementarity problems. Zbl 1346.90776
Chen, Xiaojun; Xiang, Shuhuang
2016
Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167
Bian, Wei; Chen, Xiaojun
2017
Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations. Zbl 0699.65042
Yamamoto, Tetsuro; Chen, Xiaojun
1990
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 convergence of a new hybrid Gauss-Newton structured BFGS method for nonlinear least squares problems. Zbl 1211.90131
Zhou, Weijun; Chen, Xiaojun
2010
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 feature group weighting method for subspace clustering of high-dimensional data. Zbl 1225.68162
Chen, Xiaojun; Ye, Yunming; Xu, Xiaofei; Huang, Joshua Zhexue
2012
Wave propagation under curvature effects in a heterogeneous medium. Zbl 0878.35009
Chen, X.; Namah, G.
1997
Global and superlinear convergence of inexact Uzawa methods for saddle point problems with nondifferentiable mappings. Zbl 0916.65070
Chen, Xiaojun
1998
Structural reliability analysis with imprecise random and interval fields. Zbl 1480.74297
Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis
2018
Lagrangian globalization methods for nonlinear complementarity problems. Zbl 1049.90098
Chen, X.; Qi, L.; Yang, Y. F.
2002
Semismoothness and superlinear convergence in nonsmooth optimization and nonsmooth equations. Zbl 0991.90123
Jiang, Houyuan; Qi, Liqun; Chen, Xiaojun; Sun, Defeng
1996
Numerical validation of solutions of saddle point matrix equations. Zbl 1071.65068
Chen, Xiaojun; Hashimoto, Kouji
2003
Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 1474.91008
Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun
2019
First order conditions for nonsmooth discretized constrained optimal control problems. Zbl 1058.49025
Chen, Xiaojun
2004
Newton’s method for Monte Carlo-based residuals. Zbl 1317.65121
Willert, Jeffrey; Chen, Xiaojun; Kelley, C. T.
2015
Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119
Chen, Xiaojun; Kelley, C. T.
2016
Decoding the (73,37,13) quadratic residue code. Zbl 0819.94025
Chen, X.; Reed, I. S.; Truong, T. K.
1994
Newton-like methods for solving underdetermined nonlinear equations with nondifferentiable terms. Zbl 0823.65048
Chen, Xiaojun; Yamamoto, Tetsuro
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 0879.73075
Tamma, K. K.; Chen, X.; Sha, D.
1996
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
Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138
Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B.
2015
Implicit solution function of P$$_{0}$$ and Z matrix linear complementarity constraints. Zbl 1218.90183
Chen, Xiaojun; Xiang, Shuhuang
2011
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
Regularizations for stochastic linear variational inequalities. Zbl 1342.90209
Zhang, Yanfang; Chen, Xiaojun
2014
Computational error bounds for a differential linear variational inequality. Zbl 1256.65066
Chen, Xiaojun; Wang, Zhengyu
2012
Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117
Jiang, Jie; Chen, Xiaojun; Chen, Zhiping
2020
Two-stage stochastic variational inequalities: theory, algorithms and applications. Zbl 1474.90484
Sun, Hai-Lin; Chen, Xiao-Jun
2021
Mathematical programs with complementarity constraints and a non-Lipschitz objective: optimality and approximation. Zbl 1480.90240
Guo, Lei; Chen, Xiaojun
2021
Topology optimization of flexoelectric composites using computational homogenization. Zbl 07414346
Chen, X.; Yvonnet, J.; Yao, S.; Park, H. S.
2021
Group sparse optimization for images recovery using capped folded concave functions. Zbl 1474.90507
Pan, Lili; Chen, Xiaojun
2021
Machine learning aided phase field method for fracture mechanics. Zbl 07444795
Feng, Yuan; Wang, Qihan; Wu, Di; Luo, Zhen; Chen, Xiaojun; Zhang, Tianyu; Gao, Wei
2021
Quantitative analysis for a class of two-stage stochastic linear variational inequality problems. Zbl 1446.90117
Jiang, Jie; Chen, Xiaojun; Chen, Zhiping
2020
A Gauss-Seidel type method for dynamic nonlinear complementarity problems. Zbl 1454.65044
Wu, Shu-Lin; Zhou, Tao; Chen, Xiaojun
2020
Structure evolution at early stage of boundary-layer transition: simulation and experiment. Zbl 1460.76386
Jiang, X. Y.; Lee, C. B.; Chen, X.; Smith, C. R.; Linden, P. F.
2020
An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems. Zbl 1464.65066
Liu, Tianxiang; Lu, Zhaosong; Chen, Xiaojun; Dai, Yu-Hong
2020
A smoothing active set method for linearly constrained non-Lipschitz nonconvex optimization. Zbl 07154031
Zhang, Chao; Chen, Xiaojun
2020
Computation of second-order directional stationary points for group sparse optimization. Zbl 1428.90138
Peng, Dingtao; Chen, Xiaojun
2020
The subdifferential of measurable composite max integrands and smoothing approximation. Zbl 1477.90044
Burke, James V.; Chen, Xiaojun; Sun, Hailin
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
Regularized two-stage stochastic variational inequalities for Cournot-Nash equilibrium under uncertainty. Zbl 1474.91008
Jiang, Jie; Shi, Yun; Wang, Xiaozhou; Chen, Xiaojun
2019
Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. Zbl 1411.90318
Chen, Xiaojun; Toint, Ph. L.; Wang, H.
2019
Convergence of the EDIIS algorithm for nonlinear equations. Zbl 1408.65030
Chen, Xiaojun; Kelley, C. T.
2019
Hypersonic boundary layer transition on a concave wall: stationary Görtler vortices. Zbl 1415.76429
Chen, X.; Huang, G. L.; Lee, C. B.
2019
Entropy-based closure for probabilistic learning on manifolds. Zbl 1459.62239
Soize, C.; Ghanem, R.; Safta, C.; Huan, X.; Vane, Z. P.; Oefelein, J.; Lacaze, G.; Najm, H. N.; Tang, Q.; Chen, X.
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 1480.74297
Gao, Wei; Wu, Di; Gao, Kang; Chen, Xiaojun; Tin-Loi, Francis
2018
Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. Zbl 1401.90167
Chen, Xiaojun; Womersley, Robert S.
2018
A smoothing direct search method for Monte Carlo-based bound constrained composite nonsmooth optimization. Zbl 1461.65138
Chen, Xiaojun; Kelley, C. T.; Xu, Fengmin; Zhang, Zaikun
2018
Spherical $$t_\epsilon$$-designs for approximations on the sphere. Zbl 06912357
Zhou, Yang; Chen, Xiaojun
2018
An exponential integrator-based discontinuous Galerkin method for linear complementarity systems. Zbl 1460.65086
Wang, Zhengyu; Chen, Xiaojun
2018
A nonmonotone alternating updating method for a class of matrix factorization problems. Zbl 1411.90283
Yang, Lei; Pong, Ting Kei; Chen, Xiaojun
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
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
Two-stage stochastic variational inequalities: an ERM-solution procedure. Zbl 1386.90157
Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B.
2017
Optimality and complexity for constrained optimization problems with nonconvex regularization. Zbl 1386.90167
Bian, Wei; Chen, Xiaojun
2017
An augmented Lagrangian method for non-Lipschitz nonconvex programming. Zbl 1421.90119
Chen, Xiaojun; Guo, Lei; Lu, Zhaosong; Ye, Jane J.
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
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
Preface. Zbl 1378.00102
2017
A parallel iterative algorithm for differential linear complementarity problems. Zbl 1379.65050
Wu, Shu-Lin; Chen, Xiaojun
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
Sparse envelope model: efficient estimation and response variable selection in multivariate linear regression. Zbl 07072139
Su, Z.; Zhu, G.; Chen, X.; Yang, Y.
2016
Optimization with hidden constraints and embedded Monte Carlo computations. Zbl 1364.65119
Chen, Xiaojun; Kelley, C. T.
2016
A smoothing trust region filter algorithm for nonsmooth least squares problems. Zbl 1338.90313
Chen, XiaoJun; Du, ShouQiang; Zhou, Yang
2016
A 3-parameter Gompertz distribution for survival data with competing risks, with an application to breast cancer data. Zbl 07281614
Haile, S. R.; Jeong, J.-H.; Chen, X.; Cheng, Y.
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
Regularized mathematical programs with stochastic equilibrium constraints: estimating structural demand models. Zbl 1358.90138
Chen, Xiaojun; Sun, Hailin; Wets, Roger J.-B.
2015
Snap-through buckling of initially curved microbeam subject to an electrostatic force. Zbl 1371.74106
Chen, X.; Meguid, S. A.
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
Corrigendum: “Regularized least squares approximations on the sphere using spherical designs”. Zbl 1304.65114
An, Congpei; Chen, Xiaojun; Sloan, Ian H.; Womersley, Robert S.
2014
Optimality conditions and a smoothing trust region Newton method for nonlipschitz optimization. Zbl 1291.90238
Chen, Xiaojun; Niu, Lingfeng; Yuan, Yaxiang
2013
Convergence of regularized time-stepping methods for differential variational inequalities. Zbl 1301.65055
Chen, Xiaojun; Wang, Zhengyu
2013
Worst-case complexity of smoothing quadratic regularization methods for non-Lipschitzian optimization. Zbl 1282.90175
Bian, Wei; Chen, Xiaojun
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
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
Effect of surface/interface stress on the plastic deformation of nanoporous materials and nanocomposites. Zbl 1454.74008
Zhang, W. X.; Wang, T. J.; Chen, X.
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
Global error bounds for the extended vertical LCP. Zbl 1233.90267
Zhang, Chao; Chen, Xiaojun; Xiu, Naihua
2009
Multistage scenario-based interval-stochastic programming for planning water resources allocation. Zbl 1418.90183
Li, Y. P.; Huang, G. H.; Chen, X.
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
...and 66 more Documents
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### 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
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### 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. Series A. Series B 53 Numerical Algorithms 42 SIAM Journal on Optimization 36 Numerical Functional Analysis and Optimization 35 Journal of Global Optimization 23 Journal of Scientific Computing 23 Journal of Industrial and Management Optimization 21 Computers & Mathematics with Applications 21 Optimization Methods & Software 20 Optimization 19 Optimization Letters 18 Linear Algebra and its Applications 17 SIAM Journal on Scientific Computing 15 International Journal of Computer Mathematics 15 Mathematical Problems in Engineering 15 Journal of Applied Mathematics and Computing 15 SIAM Journal on Imaging Sciences 14 Mathematics of Computation 14 Journal of Inequalities and Applications 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 European Journal of Operational Research 13 Computational and Applied Mathematics 12 Numerische Mathematik 12 Applied Numerical Mathematics 11 Inverse Problems 11 Journal of Mathematical Analysis and Applications 11 Applied Mathematics Letters 11 Science China. Mathematics 10 Advances in Computational Mathematics 9 Linear and Multilinear Algebra 9 Journal of Complexity 9 Set-Valued and Variational Analysis 8 SIAM Journal on Numerical Analysis 8 Annals of Operations Research 8 Applications of Mathematics 8 Abstract and Applied Analysis 7 Computing 7 Mathematics of Operations Research 7 Operations Research Letters 7 Acta Mathematicae Applicatae Sinica. English Series 7 Asia-Pacific Journal of Operational Research 7 Applied Mathematical Modelling 7 Journal of Applied Mathematics 7 Inverse Problems and Imaging 7 Numerical Algebra, Control and Optimization 7 Journal of the Operations Research Society of China 6 Applicable Analysis 6 Calcolo 6 Applied and Computational Harmonic Analysis 6 Numerical Linear Algebra with Applications 6 Mathematical Methods of Operations Research 6 Optimization and Engineering 5 SIAM Journal on Control and Optimization 5 Science in China. Series A 5 Journal of Convex Analysis 5 Acta Mathematica Sinica. English Series 5 Journal of Nonlinear Science and Applications 4 Applied Mathematics and Optimization 4 Information Sciences 4 Japan Journal of Industrial and Applied Mathematics 4 Pattern Recognition 4 Journal of Mathematical Imaging and Vision 4 Applied Mathematics. Series B (English Edition) 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of the Franklin Institute 3 Mathematical Methods in the Applied Sciences 3 BIT 3 Journal of Approximation Theory 3 Mathematics and Computers in Simulation 3 Bulletin of the Iranian Mathematical Society 3 Numerical Methods for Partial Differential Equations 3 Neural Networks 3 INFORMS Journal on Computing 3 Multibody System Dynamics 3 Journal of Combinatorial Optimization 3 The ANZIAM Journal 3 Nonlinear Analysis. Real World Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Analysis in Theory and Applications 3 Mediterranean Journal of Mathematics 3 Frontiers of Mathematics in China 3 Open Mathematics 2 Journal of Computational Physics 2 Czechoslovak Mathematical Journal 2 Journal of Differential Equations 2 Mathematica Slovaca 2 Applied Mathematics and Mechanics. (English Edition) 2 Computers & Operations Research 2 Mathematical and Computer Modelling 2 Machine Learning 2 Computational Statistics 2 Communications in Statistics. Theory and Methods 2 SIAM Review 2 Topological Methods in Nonlinear Analysis 2 Journal of Inverse and Ill-Posed Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations ...and 90 more Serials
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### Cited in 51 Fields

 798 Operations research, mathematical programming (90-XX) 748 Numerical analysis (65-XX) 256 Calculus of variations and optimal control; optimization (49-XX) 135 Operator theory (47-XX) 84 Linear and multilinear algebra; matrix theory (15-XX) 61 Partial differential equations (35-XX) 59 Information and communication theory, circuits (94-XX) 52 Computer science (68-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Approximations and expansions (41-XX) 39 Statistics (62-XX) 32 Mechanics of deformable solids (74-XX) 23 Ordinary differential equations (34-XX) 22 Probability theory and stochastic processes (60-XX) 19 Integral equations (45-XX) 16 Systems theory; control (93-XX) 13 Functional analysis (46-XX) 11 Real functions (26-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Special functions (33-XX) 9 Fluid mechanics (76-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Combinatorics (05-XX) 8 Biology and other natural sciences (92-XX) 7 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX)