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## Zhang, Liwei

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 Author ID: zhang.liwei Published as: Zhang, Liwei; Zhang, Li-Wei; Zhang, Li-wei; Zhang, L. W.; Zhang, L.; Zhang, LiWei
 Documents Indexed: 200 Publications since 1993
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#### Co-Authors

 2 single-authored 26 Xiao, Xiantao 20 Wu, Jia 17 Xia, Zunquan 17 Zhang, Jie 15 Zhang, Hongwei 12 Zhang, Yi 10 Tang, Huanwen 9 Guo, Shaoyan 8 Liu, Yong-Jin 8 Lu, Yue 8 Wu, Yue 6 Ren, Yonghong 6 Zhang, Jianzhong 6 Zhang, Shaowu 6 Zhang, Yule 5 Gu, Jian 4 Jiang, Haijun 4 Jin, Li 4 Li, Yang 4 Lin, Shuang 4 Mei, Xuehui 4 Pang, Liping 4 Song, Chunling 4 Wang, Yun 4 Xu, Huifu 4 Xu, Mengwei 4 Yu, Hongxia 4 Zhang, Jihong 4 Zhang, Ning 4 Zhang, Sainan 3 Bei, Honghan 3 Duan, Qingsong 3 He, Suxiang 3 Jiang, Yong 3 Liu, Qiang 3 Msigwa, Robert Ebihart 3 Qi, Liyan 3 Shan, Feng 3 Spedicato, Emilio 3 Sun, Defeng 3 Sun, Jie 3 Sun, Jing 3 Sun, Juhe 3 Wang, Mingzheng 3 Wang, Xuehua 3 Yuan, Yanhong 2 Gao, Shengzhe 2 Gao, Yan 2 Ge, Yingen 2 Guo, Chonghui 2 Hao, Shoulin 2 Hong, Liu Jeff 2 Liu, Shuxin 2 Ni, Qin 2 Pan, Shaorong 2 Wang, Bo 2 Wang, Jiani 2 Wang, Lei 2 Wang, Wei 2 Wang, Yinhe 2 Ye, Jane J. 2 Yin, Ziran 1 Chen, Xiaozhu 1 Cheng, Cong 1 Chu, Li 1 Dai, Xiaoying 1 Ding, Chao 1 Feng, Enmin 1 Guo, Fangfang 1 Guo, Saoyan 1 Han, Deren 1 Helo, P. T. 1 Hou, Jian 1 Hu, Cheng 1 Hu, Zhaolin 1 Huang, Shell-Ying 1 Jiang, Quan 1 Kong, Debao 1 Li, Lidan 1 Li, Shuyang 1 Li, Yongfeng 1 Li, Yuxin 1 Liang, Chuanguang 1 Liu, Meijiao 1 Liu, Weishi 1 Liu, Zhuang 1 Ma, Manman 1 Ma, Yanping 1 Mirnia, Kamal 1 Sun, Shaoyan 1 Tang, Huamwen 1 Tian, Zhaowei 1 Wang, Haibin 1 Wang, Keding 1 Wang, Yuncheng 1 Wei, Zhengli 1 Wen, Zaiwen 1 Xia, Zhonghang 1 Xing, Jiuju 1 Xu, Zhenli ...and 19 more Co-Authors
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#### Serials

 15 Journal of Industrial and Management Optimization 13 Journal of Dalian University of Technology 10 Asia-Pacific Journal of Operational Research 8 Set-Valued and Variational Analysis 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Optimization Methods & Software 6 International Journal of Pure and Applied Mathematics 5 Journal of Computational and Applied Mathematics 5 Optimization 5 Journal of Global Optimization 5 Journal of Applied Mathematics and Computing 5 Operations Research Transactions 4 Journal of Mathematical Analysis and Applications 4 Applied Mathematics and Computation 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Optimization 4 Numerical Algebra, Control and Optimization 3 Journal of Mathematical Research & Exposition 3 Journal of Convex Analysis 3 Mathematical Methods of Operations Research 3 Discrete Dynamics in Nature and Society 3 Optimization Letters 3 OR Transactions 2 Mathematics of Computation 2 Mathematica Numerica Sinica 2 Operations Research Letters 2 Journal of Computational Mathematics 2 Northeastern Mathematical Journal 2 Mathematical Programming. Series A. Series B 2 Computational Optimization and Applications 2 Chinese Journal of Numerical Mathematics and Applications 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 Journal of Liaoning Normal University. Natural Science Edition 2 Fixed Point Theory and Applications 2 Pacific Journal of Optimization 2 Communications in Mathematical Research 2 Science China. Mathematics 2 Journal of the Operations Research Society of China 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Applied Mathematics and Optimization 1 Mathematics of Operations Research 1 Operations Research 1 Optimal Control Applications & Methods 1 Acta Scientiarum Naturalium Universitatis Sunyatseni 1 Acta Mathematica Hungarica 1 International Journal of Production Research 1 Journal of Scientific Computing 1 Systems Science and Mathematical Sciences 1 Applications of Mathematics 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Chinese Science Bulletin 1 Archives of Control Sciences 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 PU.M.A. Pure Mathematics and Applications 1 Top 1 Journal on Numerical Methods and Computer Applications 1 Complexity 1 Engineering Analysis with Boundary Elements 1 INFORMS Journal on Computing 1 Journal of Applied Analysis 1 Functional Differential Equations 1 Abstract and Applied Analysis 1 The Korean Journal of Computational & Applied Mathematics 1 Optimization and Engineering 1 Nonlinear Analysis. Modelling and Control 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Numerical Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Shandong University. Natural Science 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematical Research with Applications
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#### Fields

 172 Operations research, mathematical programming (90-XX) 53 Numerical analysis (65-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 6 Systems theory; control (93-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

112 Publications have been cited 567 times in 387 Documents Cited by Year
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming. Zbl 1190.90117
Sun, Defeng; Sun, Jie; Zhang, Liwei
2008
Sequential convex approximations to joint chance constrained programs: A Monte Carlo approach. Zbl 1231.90303
Hong, L. Jeff; Yang, Yi; Zhang, Liwei
2011
Some properties of a class of merit functions for symmetric cone complementarity problems. Zbl 1202.90252
Liu, Yong-Jin; Zhang, Li-Wei; Wang, Yin-He
2006
Characterization of the robust isolated calmness for a class of conic programming problems. Zbl 1357.49100
Ding, Chao; Sun, Defeng; Zhang, Liwei
2017
Convergence analysis of the augmented Lagrangian method for nonlinear second-order cone optimization problems. Zbl 1128.90054
Liu, Yong-Jin; Zhang, Li-Wei
2007
Linear rate convergence of the alternating direction method of multipliers for convex composite programming. Zbl 1440.90047
Han, Deren; Sun, Defeng; Zhang, Liwei
2018
Properties of the augmented Lagrangian in nonlinear semidefinite optimization. Zbl 1278.90305
Sun, Jie; Zhang, L. W.; Wu, Y.
2006
Analysis of a smoothing method for symmetric conic linear programming. Zbl 1132.90353
Liu, Yong-Jin; Zhang, Li-Wei; Wang, Yin-He
2006
Quantitative stability analysis for distributionally robust optimization with moment constraints. Zbl 1346.90650
Zhang, Jie; Xu, Huifu; Zhang, Liwei
2016
An algorithm based on resolvent operators for solving variational inequalities in Hilbert spaces. Zbl 1172.47057
Sun, Juhe; Zhang, Liwei; Xiao, Xiantao
2008
Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints. Zbl 1261.90058
Zhang, Yi; Zhang, Liwei; Wu, Jia
2011
Convergence of the augmented Lagrangian method for nonlinear optimization problems over second-order cones. Zbl 1176.90573
Liu, Y. J.; Zhang, L. W.
2009
Properties of equation reformulation of the Karush-Kuhn-Tucker condition for nonlinear second order cone optimization problems. Zbl 1190.49031
Wang, Yun; Zhang, Liwei
2009
Mathematical programs with semidefinite cone complementarity constraints: constraint qualifications and optimality conditions. Zbl 1296.90118
Wu, Jia; Zhang, Liwei; Zhang, Yi
2014
A smoothing function approach to joint chance-constrained programs. Zbl 1333.90085
Shan, Feng; Zhang, Liwei; Xiao, Xiantao
2014
A smoothing Newton method for a type of inverse semi-definite quadratic programming problem. Zbl 1155.65051
Xiao, Xiantao; Zhang, Liwei; Zhang, Jianzhong
2009
An augmented Lagrangian method for a class of Inverse quadratic programming problems. Zbl 1201.90152
Zhang, Jianzhong; Zhang, Liwei
2010
Extension of smoothing functions to symmetric cone complementarity problems. Zbl 1174.90010
Liu, Yongjin; Zhang, Liwei; Liu, Meijiao
2007
On the upper Lipschitz property of the KKT mapping for nonlinear semidefinite optimization. Zbl 1380.90214
Zhang, Yule; Zhang, Liwei
2016
Smoothing SQP methods for solving degenerate nonsmooth constrained optimization problems with applications to bilevel programs. Zbl 1317.65148
Xu, Mengwei; Ye, Jane J.; Zhang, Liwei
2015
Convergence analysis for mathematical programs with distributionally robust chance constraint. Zbl 06724130
Guo, Shaoyan; Xu, Huifu; Zhang, Liwei
2017
The implicit $$LX$$ method of the ABS class. Zbl 0894.90111
Spedicato, E.; Xia, Zunquan; Zhang, Liwei
1997
Convergence analysis of a nonlinear Lagrangian algorithm for nonlinear programming with inequality constraints. Zbl 1044.90079
Zhang, Li-Wei; Liu, Yong-Jin
2003
A sequential convex program method to DC program with joint chance constraints. Zbl 1288.65089
Xiao, Xiantao; Gu, Jian; Zhang, Liwei; Zhang, Shaowu
2012
On convergence of augmented Lagrangian method for inverse semi-definite quadratic programming problems. Zbl 1196.90093
Xiao, Xiantao; Zhang, Liwei; Zhang, Jianzhong
2009
A regularized semi-smooth Newton method with projection steps for composite convex programs. Zbl 1394.90534
Xiao, Xiantao; Li, Yongfeng; Wen, Zaiwen; Zhang, Liwei
2018
A globally convergent method based on Fischer-Burmeister operators for solving second-order cone constrained variational inequality problems. Zbl 1189.49013
Sun, Juhe; Zhang, Liwei
2009
A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations. Zbl 1287.90070
Wu, Jia; Zhang, Liwei; Zhang, Yi
2013
On the convergence of coderivative of SAA solution mapping for a parametric stochastic generalized equation. Zbl 1209.90324
Zhang, Li-Wei; Zhang, Jie; Wu, Yue
2011
On the convergence of coderivative of SAA solution mapping for a parametric stochastic variational inequality. Zbl 1242.90246
Zhang, Jie; Zhang, Li-wei; Pang, Li-ping
2012
A class of nonlinear Lagrangians for nonconvex second order cone programming. Zbl 1242.90247
Zhang, Liwei; Gu, Jian; Xiao, Xiantao
2011
Characterizations of local upper Lipschitz property of perturbed solutions to nonlinear second-order cone programs. Zbl 1384.90100
Zhang, Yi; Zhang, Liwei; Wu, Jia; Wang, Keding
2017
Quantitative stability analysis of stochastic quasi-variational inequality problems and applications. Zbl 1386.90096
Zhang, Jie; Xu, Huifu; Zhang, Liwei
2017
The convergence of a dual algorithm for nonlinear programming. Zbl 0969.65056
Zhang, Li-Wei; He, Su-Xiang
2000
ABS algorithms for linear equations and optimization. Zbl 0966.65051
Spedicato, Emilio; Xia, Zunquan; Zhang, Liwei
2000
A class of smoothing SAA methods for a stochastic mathematical program with complementarity constraints. Zbl 1228.90070
Zhang, Jie; Zhang, Li-Wei; Lin, Shuang
2012
A class of nonlinear Lagrangians: theory and algorithm. Zbl 1163.90701
Zhang, Li-Wei; Ren, Yong-Hong; Wu, Yue; Xiao, Xian-Tao
2008
Log-sigmoid nonlinear Lagrange method for nonlinear optimization problems over second-order cones. Zbl 1173.65043
Gu, Jian; Zhang, Liwei; Xiao, Xiantao
2009
Smoothing augmented Lagrangian method for nonsmooth constrained optimization problems. Zbl 1326.65073
Xu, Mengwei; Ye, Jane J.; Zhang, Liwei
2015
First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints. Zbl 1358.90152
Zhang, Yi; Wu, Jia; Zhang, Liwei
2015
A maximum entropy algorithm with parameters for solving minimax problem. Zbl 0899.90152
Zhang, Li-Wei; Tang, Huan-Wen
1997
Star-kernels and star-differentials in quasidifferential analysis. Zbl 1136.49306
Zhang, Liwei; Xia, Zunquan; Gao, Yan; Wang, Mingzheng
2002
Mixed integer programming models for dispatching vehicles at a container terminal. Zbl 1138.90437
Zhang, Li-Wei; Ye, Rong; Huang, Shell-Ying; Hsu, Wen-Jing
2005
An alternating direction method for solving a class of inverse semi-definite quadratic programming problems. Zbl 1317.90228
Lu, Yue; Ge, Ying-En; Zhang, Li-Wei
2016
A perturbation approach for a type of inverse linear programming problems. Zbl 1211.65071
Jiang, Yong; Xiao, Xiantao; Zhang, Liwei; Zhang, Jianzhong
2011
Nonsingularity in second-order cone programming via the smoothing metric projector. Zbl 1220.90100
Wang, Yun; Zhang, LiWei
2010
A perturbation approach for an inverse linear second-order cone programming. Zbl 1263.90068
Zhang, Yi; Jiang, Yong; Zhang, Liwei; Zhang, Jiangzhong
2013
On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality. Zbl 1341.90132
Zhang, Jie; Li, Yu-xin; Zhang, Li-wei
2015
On Fritz John and KKT necessary conditions of constrained quasidifferentiable optimization. Zbl 1160.90690
Xia, Zun-Quan; Song, Chun-Ling; Zhang, Li-Wei
2005
A new nonlinear Lagrangian method for nonconvex semidefinite programming. Zbl 1225.90096
Li, Y.; Zhang, Liwei
2009
A perturbation approach for an inverse quadratic programming problem. Zbl 1202.49046
Zhang, Jianzhong; Zhang, Liwei; Xiao, Xiantao
2010
On the second-order directional derivatives of singular values of matrices and symmetric matrix-valued functions. Zbl 1301.90090
Zhang, Liwei; Zhang, Ning; Xiao, Xiantao
2013
Convergence analysis of a differential equation approach for solving nonlinear programming problems. Zbl 1116.65076
Zhou, Limei; Wu, Yue; Zhang, Liwei; Zhang, Guang
2007
A nonlinear Lagrangian based on Fischer-Burmeister NCP function. Zbl 1119.65054
Ren, Yong-Hong; Zhang, Li-Wei; Xiao, Xian-Tao
2007
Variational geometry of the complementarity set for second order cone. Zbl 1321.49032
Jiang, Yong; Liu, Yong-Jin; Zhang, Li-Wei
2015
A sample average approximation regularization method for a stochastic mathematical program with general vertical complementarity constraints. Zbl 1311.90146
Zhang, Jie; Zhang, Ya-qi; Zhang, Li-wei
2015
On the $$\log$$-exponential trajectory of linear programming. Zbl 1046.90041
Sun, Jie; Zhang, Liwei
2003
A modified Lagrangian algorithm for solving nonlinear constrained optimization problems. Zbl 1147.90387
He, Suxiang; Zhang, Liwei
2006
A perturbation approach for an inverse quadratic programming problem over second-order cones. Zbl 1308.90140
Zhang, Yi; Zhang, Liwei; Wu, Jia; Zhang, Jianzhong
2015
Conditional value-at-risk approximation to value-at-risk constrained programs: a remedy via Monte Carlo. Zbl 1356.91105
Hong, L. Jeff; Hu, Zhaolin; Zhang, Liwei
2014
Nonlinear rescaling Lagrangians for nonconvex semidefinite programming. Zbl 1291.90168
Zhang, Liwei; Li, Yang; Wu, Jia
2014
On constraint qualifications in terms of approximate Jacobians for nonsmooth continuous optimization problems. Zbl 1267.90146
Zhang, Jie; Zhang, Li-Wei; Wang, Wei
2012
Kernelled quasidifferential for a quasidifferentiable function in two-dimensional space. Zbl 0994.49013
Gao, Yan; Xia, Zun-Quan; Zhang, Li-Wei
2001
On the approximate augmented Lagrangian for nonlinear symmetric cone programming. Zbl 1144.90026
Liu, Yong-Jin; Zhang, Li-Wei
2008
An augmented Lagrangian approach with a variable transformation in nonlinear programming. Zbl 1152.90653
Zhang, Liwei; Yang, Xiaoqi
2008
Existence of solutions and algorithm for a system of variational inequalities. Zbl 1185.49016
Zhao, Yali; Xia, Zunquan; Pang, Liping; Zhang, Liwei
2010
The rate of convergence of proximal method of multipliers for equality constrained optimization problems. Zbl 1450.90051
Zhang, Yule; Wu, Jia; Zhang, Liwei
2020
A log-exponential regularization method for a mathematical program with general vertical complementarity constraints. Zbl 1281.90060
Zhang, Jie; Lin, Shuang; Zhang, Li-Wei
2013
Two differential equation systems for inequality constrained optimization. Zbl 1136.65061
Jin, Li; Zhang, Li-Wei; Xiao, Xian-Tao
2007
A subgradient-based convex approximations method for DC programming and its applications. Zbl 1364.90272
Gu, Jian; Xiao, Xiantao; Zhang, Liwei
2016
Probability approximation schemes for stochastic programs with distributionally robust second-order dominance constraints. Zbl 1381.90062
Guo, Shaoyan; Xu, Huifu; Zhang, Liwei
2017
A sequential convex program approach to an inverse linear semidefinite programming problem. Zbl 1346.90660
Wu, Jia; Zhang, Yi; Zhang, Liwei; Lu, Yue
2016
Quadratic model updating with gyroscopic structure from partial eigendata. Zbl 1294.65042
Xiao, Xiantao; Gu, Jian; Zhang, Liwei
2013
On the ABS algorithm with singular initial matrix and its application to linear programming. Zbl 0894.90110
Zhang, Liwei
1997
ABS algorithms for linear equations and applications to optimization. Zbl 0897.65025
Spedicato, E.; Xia, Z. Q.; Zhang, L. W.; Mirnia, K.
1998
A further study on a penalty function of Bertsekas. Zbl 0910.90250
Zhang, Liwei; Tang, Huanwen
1998
A maximum entropy method for convex programming. Zbl 0829.90107
Tang, Huanwen; Zhang, Liwei
1995
A maximum entropy method for a sort of constrained nondifferentiable optimization problems. Zbl 0850.65124
Tang, Huanwen; Zhang, Liwei; Wang, Xuehua
1993
On a second order parallel variable transformation approach. Zbl 1038.90079
Pang, Li-Ping; Xia, Zun-Quan; Zhang, Li-Wei
2003
An optimality condition for quasidifferentiable programming with an abstract constraint. Zbl 1125.49013
Song, Chunling; Xia, Zunquan; Zhang, Liwei
2006
Nonsingularity in matrix conic optimization induced by spectral norm via a smoothing metric projector. Zbl 1288.90126
Zhang, Liwei; Guo, Shaoyan; Wu, Jia; Hao, Shoulin
2013
The augmented Lagrangian method for the packing of unequal circles within a strip. Zbl 1096.90040
Yu, Hongxia; Zhang, Liwei
2005
A differential equation method for solving box constrained variational inequality problems. Zbl 1214.90116
Wang, Li; Li, Yang; Zhang, Liwei
2011
Star-shaped differentiable functions and star-shaped differentials. Zbl 1224.49020
Pan, Shaorong; Zhang, Hongwei; Zhang, Liwei
2010
Adaptive synchronization for a class of cellular neural networks with pantograph delays. Zbl 1298.34141
Mei, Xuehui; Xing, Jiuju; Jiang, Haijun; Hu, Cheng; Zhang, Liwei
2013
Consistency analysis of a local Lipschitz homeomorphism of an SAA normal mapping for a parametric stochastic variational inequality. Zbl 1306.90113
Zhang, Jie; Zhang, Li-Wei; Lin, Shuang
2013
On properties of the bilinear penalty function method for mathematical programs with semidefinite cone complementarity constraints. Zbl 1316.49032
Wu, Jia; Zhang, Liwei
2015
The rate of convergence of a NLM based on F-B NCP for constrained optimization problems without strict complementarity. Zbl 1318.90072
He, Suxiang; Zhang, Liwei; Zhang, Jie
2015
A smoothing Newton method based on sample average approximation for a class of stochastic generalized Nash equilibrium problems. Zbl 1241.91010
Yuan, Yanhong; Zhang, Liwei; Wu, Yue
2012
Constraint qualifications for constrained Lipschitz optimization problems and applications to a MPCC. Zbl 1269.90111
Zhang, Shaowu; Zhang, Jie; Zhang, Liwei; Wang, Wei
2012
A trust region algorithm of a new conic model for nonlinearly equality constrained optimization. Zbl 1240.90421
Zhang, Liwei; Ni, Qin
2010
A smoothing Newton method for mathematical programs constrained by parameterized quasi-variational inequalities. Zbl 1237.65063
Wu, Jia; Zhang, LiWei
2011
A maximum entropy method for linear programming. Zbl 0860.65045
Tang, Huanwen; Zhang, Liwei
1995
Directional derivative of a class of set-valued mappings and its application. Zbl 1053.49017
Xia, Zun-Quan; Wang, Ming-Zheng; Zhang, Li-Wei
2003
A note on convergence analysis of an SQP-type method for nonlinear semidefinite programming. Zbl 1279.90130
Wang, Yun; Zhang, Shaowu; Zhang, Liwei
2008
Differential properties of the symmetric matrix-valued Fischer-Burmeister function. Zbl 1271.90067
Zhang, Liwei; Zhang, Ning; Pang, Liping
2012
A nonlinear Lagrangian method based on log-sigmoid function for nonconvex semidefinite programming. Zbl 1188.90194
Li, Yang; Zhang, Liwei
2009
Solving a class of inverse QP problems by a smoothing Newton method. Zbl 1212.90286
Xiao, Xiantao; Zhang, Liwei
2009
Statistical inference of second-order cone programming. Zbl 1415.90084
Zhang, Liwei; Gao, Shengzhe; Guo, Saoyan
2019
Quantitative stability of full random two-stage problems with quadratic recourse. Zbl 1419.90081
Zhang, Sainan; Guo, Shaoyan; Zhang, Hongwei; Zhang, Liwei
2019
The rate of convergence of proximal method of multipliers for equality constrained optimization problems. Zbl 1450.90051
Zhang, Yule; Wu, Jia; Zhang, Liwei
2020
The rate of convergence of proximal method of multipliers for nonlinear semidefinite programming. Zbl 1433.90166
Zhang, Yule; Wu, Jia; Zhang, Liwei
2020
A linearly convergent majorized ADMM with indefinite proximal terms for convex composite programming and its applications. Zbl 1441.90123
Zhang, Ning; Wu, Jia; Zhang, Liwei
2020
Statistical inference of second-order cone programming. Zbl 1415.90084
Zhang, Liwei; Gao, Shengzhe; Guo, Saoyan
2019
Quantitative stability of full random two-stage problems with quadratic recourse. Zbl 1419.90081
Zhang, Sainan; Guo, Shaoyan; Zhang, Hongwei; Zhang, Liwei
2019
A multistage feedback control strategy for producing 1,3-propanediol in microbial continuous fermentation. Zbl 1421.93097
Bei, Honghan; Wang, Lei; Sun, Jing; Zhang, Liwei
2019
New constraint qualifications and optimality conditions for second order cone programs. Zbl 1423.90249
Zhang, Yi; Zhang, Liwei
2019
Linear rate convergence of the alternating direction method of multipliers for convex composite programming. Zbl 1440.90047
Han, Deren; Sun, Defeng; Zhang, Liwei
2018
A regularized semi-smooth Newton method with projection steps for composite convex programs. Zbl 1394.90534
Xiao, Xiantao; Li, Yongfeng; Wen, Zaiwen; Zhang, Liwei
2018
Second-order optimality conditions for cone constrained multi-objective optimization. Zbl 1412.90138
Zhang, Liwei; Zhang, Jihong; Zhang, Yule
2018
Hadamard directional differentiability of the optimal value function of a quadratic programming problem. Zbl 1397.90371
Zhang, Sainan; Zhang, Liwei; Zhang, Hongwei; Duan, Qingsong
2018
Characterization of the robust isolated calmness for a class of conic programming problems. Zbl 1357.49100
Ding, Chao; Sun, Defeng; Zhang, Liwei
2017
Convergence analysis for mathematical programs with distributionally robust chance constraint. Zbl 06724130
Guo, Shaoyan; Xu, Huifu; Zhang, Liwei
2017
Characterizations of local upper Lipschitz property of perturbed solutions to nonlinear second-order cone programs. Zbl 1384.90100
Zhang, Yi; Zhang, Liwei; Wu, Jia; Wang, Keding
2017
Quantitative stability analysis of stochastic quasi-variational inequality problems and applications. Zbl 1386.90096
Zhang, Jie; Xu, Huifu; Zhang, Liwei
2017
Probability approximation schemes for stochastic programs with distributionally robust second-order dominance constraints. Zbl 1381.90062
Guo, Shaoyan; Xu, Huifu; Zhang, Liwei
2017
A conjugate gradient method for electronic structure calculations. Zbl 1378.65120
Dai, Xiaoying; Liu, Zhuang; Zhang, Liwei; Zhou, Aihui
2017
Quantitative stability analysis for distributionally robust optimization with moment constraints. Zbl 1346.90650
Zhang, Jie; Xu, Huifu; Zhang, Liwei
2016
On the upper Lipschitz property of the KKT mapping for nonlinear semidefinite optimization. Zbl 1380.90214
Zhang, Yule; Zhang, Liwei
2016
An alternating direction method for solving a class of inverse semi-definite quadratic programming problems. Zbl 1317.90228
Lu, Yue; Ge, Ying-En; Zhang, Li-Wei
2016
A subgradient-based convex approximations method for DC programming and its applications. Zbl 1364.90272
Gu, Jian; Xiao, Xiantao; Zhang, Liwei
2016
A sequential convex program approach to an inverse linear semidefinite programming problem. Zbl 1346.90660
Wu, Jia; Zhang, Yi; Zhang, Liwei; Lu, Yue
2016
A parameter-self-adjusting Levenberg-Marquardt method for solving nonsmooth equations. Zbl 1363.65102
Qi, Liyan; Xiao, Xiantao; Zhang, Liwei
2016
Smoothing SQP methods for solving degenerate nonsmooth constrained optimization problems with applications to bilevel programs. Zbl 1317.65148
Xu, Mengwei; Ye, Jane J.; Zhang, Liwei
2015
Smoothing augmented Lagrangian method for nonsmooth constrained optimization problems. Zbl 1326.65073
Xu, Mengwei; Ye, Jane J.; Zhang, Liwei
2015
First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints. Zbl 1358.90152
Zhang, Yi; Wu, Jia; Zhang, Liwei
2015
On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality. Zbl 1341.90132
Zhang, Jie; Li, Yu-xin; Zhang, Li-wei
2015
Variational geometry of the complementarity set for second order cone. Zbl 1321.49032
Jiang, Yong; Liu, Yong-Jin; Zhang, Li-Wei
2015
A sample average approximation regularization method for a stochastic mathematical program with general vertical complementarity constraints. Zbl 1311.90146
Zhang, Jie; Zhang, Ya-qi; Zhang, Li-wei
2015
A perturbation approach for an inverse quadratic programming problem over second-order cones. Zbl 1308.90140
Zhang, Yi; Zhang, Liwei; Wu, Jia; Zhang, Jianzhong
2015
On properties of the bilinear penalty function method for mathematical programs with semidefinite cone complementarity constraints. Zbl 1316.49032
Wu, Jia; Zhang, Liwei
2015
The rate of convergence of a NLM based on F-B NCP for constrained optimization problems without strict complementarity. Zbl 1318.90072
He, Suxiang; Zhang, Liwei; Zhang, Jie
2015
Dynamics of uncertain discrete-time neural network with delay and impulses. Zbl 1418.92010
Mei, Xuehui; Zhang, Liwei; Jiang, Haijun; Yu, Zhiyong
2015
A smoothing approach for solving transportation problem with road toll pricing and capacity expansions. Zbl 1344.49052
Msigwa, Robert Ebihart; Lu, Yue; Ge, Yingen; Zhang, Liwei
2015
Mathematical programs with semidefinite cone complementarity constraints: constraint qualifications and optimality conditions. Zbl 1296.90118
Wu, Jia; Zhang, Liwei; Zhang, Yi
2014
A smoothing function approach to joint chance-constrained programs. Zbl 1333.90085
Shan, Feng; Zhang, Liwei; Xiao, Xiantao
2014
Conditional value-at-risk approximation to value-at-risk constrained programs: a remedy via Monte Carlo. Zbl 1356.91105
Hong, L. Jeff; Hu, Zhaolin; Zhang, Liwei
2014
Nonlinear rescaling Lagrangians for nonconvex semidefinite programming. Zbl 1291.90168
Zhang, Liwei; Li, Yang; Wu, Jia
2014
A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations. Zbl 1287.90070
Wu, Jia; Zhang, Liwei; Zhang, Yi
2013
A perturbation approach for an inverse linear second-order cone programming. Zbl 1263.90068
Zhang, Yi; Jiang, Yong; Zhang, Liwei; Zhang, Jiangzhong
2013
On the second-order directional derivatives of singular values of matrices and symmetric matrix-valued functions. Zbl 1301.90090
Zhang, Liwei; Zhang, Ning; Xiao, Xiantao
2013
A log-exponential regularization method for a mathematical program with general vertical complementarity constraints. Zbl 1281.90060
Zhang, Jie; Lin, Shuang; Zhang, Li-Wei
2013
Quadratic model updating with gyroscopic structure from partial eigendata. Zbl 1294.65042
Xiao, Xiantao; Gu, Jian; Zhang, Liwei
2013
Nonsingularity in matrix conic optimization induced by spectral norm via a smoothing metric projector. Zbl 1288.90126
Zhang, Liwei; Guo, Shaoyan; Wu, Jia; Hao, Shoulin
2013
Adaptive synchronization for a class of cellular neural networks with pantograph delays. Zbl 1298.34141
Mei, Xuehui; Xing, Jiuju; Jiang, Haijun; Hu, Cheng; Zhang, Liwei
2013
Consistency analysis of a local Lipschitz homeomorphism of an SAA normal mapping for a parametric stochastic variational inequality. Zbl 1306.90113
Zhang, Jie; Zhang, Li-Wei; Lin, Shuang
2013
A sequential convex program method to DC program with joint chance constraints. Zbl 1288.65089
Xiao, Xiantao; Gu, Jian; Zhang, Liwei; Zhang, Shaowu
2012
On the convergence of coderivative of SAA solution mapping for a parametric stochastic variational inequality. Zbl 1242.90246
Zhang, Jie; Zhang, Li-wei; Pang, Li-ping
2012
A class of smoothing SAA methods for a stochastic mathematical program with complementarity constraints. Zbl 1228.90070
Zhang, Jie; Zhang, Li-Wei; Lin, Shuang
2012
On constraint qualifications in terms of approximate Jacobians for nonsmooth continuous optimization problems. Zbl 1267.90146
Zhang, Jie; Zhang, Li-Wei; Wang, Wei
2012
A smoothing Newton method based on sample average approximation for a class of stochastic generalized Nash equilibrium problems. Zbl 1241.91010
Yuan, Yanhong; Zhang, Liwei; Wu, Yue
2012
Constraint qualifications for constrained Lipschitz optimization problems and applications to a MPCC. Zbl 1269.90111
Zhang, Shaowu; Zhang, Jie; Zhang, Liwei; Wang, Wei
2012
Differential properties of the symmetric matrix-valued Fischer-Burmeister function. Zbl 1271.90067
Zhang, Liwei; Zhang, Ning; Pang, Liping
2012
Sequential convex approximations to joint chance constrained programs: A Monte Carlo approach. Zbl 1231.90303
Hong, L. Jeff; Yang, Yi; Zhang, Liwei
2011
Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints. Zbl 1261.90058
Zhang, Yi; Zhang, Liwei; Wu, Jia
2011
On the convergence of coderivative of SAA solution mapping for a parametric stochastic generalized equation. Zbl 1209.90324
Zhang, Li-Wei; Zhang, Jie; Wu, Yue
2011
A class of nonlinear Lagrangians for nonconvex second order cone programming. Zbl 1242.90247
Zhang, Liwei; Gu, Jian; Xiao, Xiantao
2011
A perturbation approach for a type of inverse linear programming problems. Zbl 1211.65071
Jiang, Yong; Xiao, Xiantao; Zhang, Liwei; Zhang, Jianzhong
2011
A differential equation method for solving box constrained variational inequality problems. Zbl 1214.90116
Wang, Li; Li, Yang; Zhang, Liwei
2011
A smoothing Newton method for mathematical programs constrained by parameterized quasi-variational inequalities. Zbl 1237.65063
Wu, Jia; Zhang, LiWei
2011
An augmented Lagrangian method for a class of Inverse quadratic programming problems. Zbl 1201.90152
Zhang, Jianzhong; Zhang, Liwei
2010
Nonsingularity in second-order cone programming via the smoothing metric projector. Zbl 1220.90100
Wang, Yun; Zhang, LiWei
2010
A perturbation approach for an inverse quadratic programming problem. Zbl 1202.49046
Zhang, Jianzhong; Zhang, Liwei; Xiao, Xiantao
2010
Existence of solutions and algorithm for a system of variational inequalities. Zbl 1185.49016
Zhao, Yali; Xia, Zunquan; Pang, Liping; Zhang, Liwei
2010
Star-shaped differentiable functions and star-shaped differentials. Zbl 1224.49020
Pan, Shaorong; Zhang, Hongwei; Zhang, Liwei
2010
A trust region algorithm of a new conic model for nonlinearly equality constrained optimization. Zbl 1240.90421
Zhang, Liwei; Ni, Qin
2010
Convergence of the augmented Lagrangian method for nonlinear optimization problems over second-order cones. Zbl 1176.90573
Liu, Y. J.; Zhang, L. W.
2009
Properties of equation reformulation of the Karush-Kuhn-Tucker condition for nonlinear second order cone optimization problems. Zbl 1190.49031
Wang, Yun; Zhang, Liwei
2009
A smoothing Newton method for a type of inverse semi-definite quadratic programming problem. Zbl 1155.65051
Xiao, Xiantao; Zhang, Liwei; Zhang, Jianzhong
2009
On convergence of augmented Lagrangian method for inverse semi-definite quadratic programming problems. Zbl 1196.90093
Xiao, Xiantao; Zhang, Liwei; Zhang, Jianzhong
2009
A globally convergent method based on Fischer-Burmeister operators for solving second-order cone constrained variational inequality problems. Zbl 1189.49013
Sun, Juhe; Zhang, Liwei
2009
Log-sigmoid nonlinear Lagrange method for nonlinear optimization problems over second-order cones. Zbl 1173.65043
Gu, Jian; Zhang, Liwei; Xiao, Xiantao
2009
A new nonlinear Lagrangian method for nonconvex semidefinite programming. Zbl 1225.90096
Li, Y.; Zhang, Liwei
2009
A nonlinear Lagrangian method based on log-sigmoid function for nonconvex semidefinite programming. Zbl 1188.90194
Li, Yang; Zhang, Liwei
2009
Solving a class of inverse QP problems by a smoothing Newton method. Zbl 1212.90286
Xiao, Xiantao; Zhang, Liwei
2009
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming. Zbl 1190.90117
Sun, Defeng; Sun, Jie; Zhang, Liwei
2008
An algorithm based on resolvent operators for solving variational inequalities in Hilbert spaces. Zbl 1172.47057
Sun, Juhe; Zhang, Liwei; Xiao, Xiantao
2008
A class of nonlinear Lagrangians: theory and algorithm. Zbl 1163.90701
Zhang, Li-Wei; Ren, Yong-Hong; Wu, Yue; Xiao, Xian-Tao
2008
On the approximate augmented Lagrangian for nonlinear symmetric cone programming. Zbl 1144.90026
Liu, Yong-Jin; Zhang, Li-Wei
2008
An augmented Lagrangian approach with a variable transformation in nonlinear programming. Zbl 1152.90653
Zhang, Liwei; Yang, Xiaoqi
2008
A note on convergence analysis of an SQP-type method for nonlinear semidefinite programming. Zbl 1279.90130
Wang, Yun; Zhang, Shaowu; Zhang, Liwei
2008
Convergence analysis of the augmented Lagrangian method for nonlinear second-order cone optimization problems. Zbl 1128.90054
Liu, Yong-Jin; Zhang, Li-Wei
2007
Extension of smoothing functions to symmetric cone complementarity problems. Zbl 1174.90010
Liu, Yongjin; Zhang, Liwei; Liu, Meijiao
2007
Convergence analysis of a differential equation approach for solving nonlinear programming problems. Zbl 1116.65076
Zhou, Limei; Wu, Yue; Zhang, Liwei; Zhang, Guang
2007
A nonlinear Lagrangian based on Fischer-Burmeister NCP function. Zbl 1119.65054
Ren, Yong-Hong; Zhang, Li-Wei; Xiao, Xian-Tao
2007
Two differential equation systems for inequality constrained optimization. Zbl 1136.65061
Jin, Li; Zhang, Li-Wei; Xiao, Xian-Tao
2007
Process platform representation based on unified modelling language. Zbl 1108.90312
Zhang, L.; Jiao, J.; Helo, P. T.
2007
Two differential equation systems for equality-constrained optimization. Zbl 1125.65049
Jin, Li; Zhang, Li-Wei; Xiao, Xian-Tao
2007
Some properties of a class of merit functions for symmetric cone complementarity problems. Zbl 1202.90252
Liu, Yong-Jin; Zhang, Li-Wei; Wang, Yin-He
2006
Properties of the augmented Lagrangian in nonlinear semidefinite optimization. Zbl 1278.90305
Sun, Jie; Zhang, L. W.; Wu, Y.
2006
Analysis of a smoothing method for symmetric conic linear programming. Zbl 1132.90353
Liu, Yong-Jin; Zhang, Li-Wei; Wang, Yin-He
2006
A modified Lagrangian algorithm for solving nonlinear constrained optimization problems. Zbl 1147.90387
He, Suxiang; Zhang, Liwei
2006
An optimality condition for quasidifferentiable programming with an abstract constraint. Zbl 1125.49013
Song, Chunling; Xia, Zunquan; Zhang, Liwei
2006
Mixed integer programming models for dispatching vehicles at a container terminal. Zbl 1138.90437
Zhang, Li-Wei; Ye, Rong; Huang, Shell-Ying; Hsu, Wen-Jing
2005
On Fritz John and KKT necessary conditions of constrained quasidifferentiable optimization. Zbl 1160.90690
Xia, Zun-Quan; Song, Chun-Ling; Zhang, Li-Wei
2005
The augmented Lagrangian method for the packing of unequal circles within a strip. Zbl 1096.90040
Yu, Hongxia; Zhang, Liwei
2005
Convergence analysis of a nonlinear Lagrangian algorithm for nonlinear programming with inequality constraints. Zbl 1044.90079
Zhang, Li-Wei; Liu, Yong-Jin
2003
On the $$\log$$-exponential trajectory of linear programming. Zbl 1046.90041
Sun, Jie; Zhang, Liwei
2003
On a second order parallel variable transformation approach. Zbl 1038.90079
Pang, Li-Ping; Xia, Zun-Quan; Zhang, Li-Wei
2003
Directional derivative of a class of set-valued mappings and its application. Zbl 1053.49017
Xia, Zun-Quan; Wang, Ming-Zheng; Zhang, Li-Wei
2003
...and 12 more Documents
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#### Cited by 544 Authors

 61 Zhang, Liwei 15 Chen, Jein-Shan 13 Pan, Shaohua 13 Wu, Jia 11 He, Suxiang 10 Pang, Liping 10 Zhang, Jie 10 Zhou, Jinchuan 9 Huang, Zheng-Hai 9 Sun, Defeng 9 Xiao, Xiantao 9 Xu, Huifu 8 Liu, Yong-Jin 8 Zhang, Yi 7 Fang, Liang 7 Guo, Shaoyan 7 Xia, Zunquan 6 Bi, Shujun 6 Liu, Sanyang 6 Mahdavi-Amiri, Nezam 6 Mordukhovich, Boris S. 6 Tang, Jingyong 6 Van Ackooij, Wim 6 Zhang, Hongwei 5 Chen, Zhiping 5 Chi, Xiaoni 5 Dolgopolik, Maxim Vladimirovich 5 Gu, Jian 5 Guo, Fangfang 5 Liu, Yongchao 5 Lu, Yue 5 Sarabi, M. Ebrahim 5 Sun, Hailin 5 Toh, Kimchuan 5 Ye, Jane J. 4 Chen, Zhongwen 4 Dong, Li 4 Golpar-Raboky, Effat 4 Hong, Liu Jeff 4 Lin, Shuang 4 Lu, Nan 4 Shen, Jie 4 Sun, Jie 4 Wan, Zhongping 4 Wang, Bo 4 Wang, Yun 4 Wen, Zaiwen 4 Yu, Bo 4 Zhang, Jianzhong 4 Zhang, Yule 3 Branda, Martin 3 Chen, Liang 3 Fukushima, Masao 3 Han, Deren 3 Han, Jiye 3 Hao, Zijun 3 He, Guoping 3 Huang, Nan-Jing 3 Jiang, Jie 3 Jiang, Yong 3 Kong, Lingchen 3 Liu, Yulan 3 Mitchell, John E. 3 Movahedian, Nooshin 3 Qi, Houduo 3 Ren, Yonghong 3 Shan, Feng 3 Sun, Xiaoling 3 Wang, Chuanmei 3 Wang, Guoqiang 3 Wets, Roger Jean-Baptiste 3 Wu, Yue 3 Yang, Li 3 Zeng, Tie Yong 3 Zhang, Jin 3 Zhang, Sainan 3 Zhao, Qi 3 Zheng, Xiaojin 3 Zhu, Xide 2 Adam, Lukáš 2 Ahmed, Shabbir 2 Akram, Mohammad 2 Antczak, Tadeusz 2 Bai, Yanqin 2 Cai, Lecai 2 Chen, Chang 2 Chen, Shuang 2 Chu, Li 2 Dilshad, Mohammad 2 Ding, Chao 2 Fukuda, Ellen H. 2 Gao, Yali 2 Gao, Yan 2 Geletu, Abebe 2 Guo, Xu 2 Haeser, Gabriel 2 Han, Hua 2 Hao, Shoulin 2 Heitsch, Holger 2 Henrion, René ...and 444 more Authors
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#### Cited in 91 Serials

 26 Journal of Optimization Theory and Applications 23 SIAM Journal on Optimization 22 Journal of Global Optimization 20 Journal of Industrial and Management Optimization 18 Mathematical Programming. Series A. Series B 17 Computational Optimization and Applications 16 Asia-Pacific Journal of Operational Research 15 Optimization 14 Applied Mathematics and Computation 12 Journal of Computational and Applied Mathematics 12 Journal of Applied Mathematics and Computing 11 Set-Valued and Variational Analysis 10 Optimization Letters 8 Mathematical Problems in Engineering 7 European Journal of Operational Research 7 Optimization Methods & Software 7 Mathematical Methods of Operations Research 6 Journal of Mathematical Analysis and Applications 6 Numerical Algorithms 6 Computational and Applied Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Numerical Functional Analysis and Optimization 4 SIAM Journal on Control and Optimization 4 Acta Mathematicae Applicatae Sinica. English Series 4 SIAM Journal on Scientific Computing 4 Journal of Inequalities and Applications 4 Journal of the Operations Research Society of China 3 Computers & Mathematics with Applications 3 Mathematics of Computation 3 Mathematics of Operations Research 3 Operations Research Letters 3 Journal of Scientific Computing 3 Science in China. Series A 3 Applications of Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Discrete Dynamics in Nature and Society 2 Inverse Problems 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical and Computer Modelling 2 Annals of Operations Research 2 INFORMS Journal on Computing 2 Abstract and Applied Analysis 2 Journal of Applied Mathematics 2 OR Spectrum 2 Computational Management Science 2 EURO Journal on Computational Optimization 1 Bulletin of the Australian Mathematical Society 1 Applied Mathematics and Optimization 1 Automatica 1 International Journal for Numerical Methods in Engineering 1 Operations Research 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Set-Valued Analysis 1 Top 1 Journal of Difference Equations and Applications 1 ACM Transactions on Modeling and Computer Simulation 1 Journal of Applied Analysis 1 Nonlinear Dynamics 1 Positivity 1 Soft Computing 1 Journal of Shanghai University 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Far East Journal of Applied Mathematics 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 CEJOR. Central European Journal of Operations Research 1 Quantitative Finance 1 Journal of Systems Science and Complexity 1 Applied Mathematics E-Notes 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Machine Learning Research (JMLR) 1 Structural and Multidisciplinary Optimization 1 Fixed Point Theory and Applications 1 Journal of Control Theory and Applications 1 Inverse Problems and Imaging 1 Electronic Journal of Statistics 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Programming Computation 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Journal of Function Spaces 1 International Journal of Applied and Computational Mathematics 1 SIAM Journal on Mathematics of Data Science
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#### Cited in 29 Fields

 337 Operations research, mathematical programming (90-XX) 111 Numerical analysis (65-XX) 84 Calculus of variations and optimal control; optimization (49-XX) 15 Operator theory (47-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Systems theory; control (93-XX) 5 Real functions (26-XX) 5 Statistics (62-XX) 5 Information and communication theory, circuits (94-XX) 4 Ordinary differential equations (34-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX)