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## Xiu, Naihua

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 Author ID: xiu.naihua Published as: Xiu, Naihua; Xiu, N. H.; Xiu, Nai-Hua; Xiu, NaiHua; Xiu, N.
 Documents Indexed: 145 Publications since 1991, including 1 Book
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#### Co-Authors

 7 single-authored 28 Kong, Lingchen 22 Luo, ZiYan 17 Zhang, Jianzhong 12 Qi, Houduo 11 Zhou, Shenglong 10 Wang, Changyu 9 Wang, Yiju 8 Li, Yu 7 Peng, Dingtao 7 Tunçel, Levent 7 Xu, Dachuan 6 Du, Donglei 6 Yu, Jian 5 Pan, Lili 5 Qu, Biao 5 Tao, Jiyuan 5 Zhou, Jinchuan 4 Wang, Yingnan 3 Fan, Jun 3 Han, Jiye 3 Li, Xinrong 3 Noor, Muhammad Aslam 3 Qin, Linxia 3 Sun, Jie 3 Wu, Soon-Yi 3 Yan, Ailing 3 Zhao, Chen 2 Bai, Yanqin 2 Chen, Yongqiang 2 Dai, Yu-Hong 2 Gao, Ziyou 2 Shang, Meijuan 2 Toh, Kimchuan 2 Wang, Xudong 2 Wu, Fang 2 Zhang, Guoliang 1 Bai, Shuanghua 1 Bi, Haini 1 Cao, Jingjie 1 Chen, Bingzhen 1 Chen, Bintong 1 Chen, Guangjun 1 Chen, Jein-Shan 1 Chen, Xiaojun 1 Fang, Shu-Cherng 1 Fang, Weiwu 1 Gowda, Muddappa Seetharama 1 Huang, Zheng-Hai 1 Huang, Zhiyong 1 Jing, Liping 1 Li, Qingna 1 Li, Weiyue 1 Lin, Guihua 1 Ling, Aifan 1 Liu, Guokai 1 Mordukhovich, Boris S. 1 Qi, Huoduo 1 Qi, Liqun 1 Shen, Jian 1 Song, Wen 1 Subramanian, P. K. 1 Sun, Defeng 1 Sun, Jie 1 Teo, Kok Lay 1 Wan, Changyu 1 Wang, Gao-Yang 1 Wang, Jingjing 1 Wang, Liqun 1 Wang, Zhouhong 1 Wei, Yongju 1 Yang, Xiaoguang 1 Yuan, Xiaoming 1 Zhang, Qian 1 Zhang, Xiangsun 1 Zhao, Qingzhen
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#### Serials

 16 Journal of Optimization Theory and Applications 7 Computational Optimization and Applications 7 Pacific Journal of Optimization 6 Linear Algebra and its Applications 6 Journal of the Operations Research Society of China 5 Journal of Industrial and Management Optimization 5 Optimization Letters 5 Science China. Mathematics 4 Optimization 4 Asia-Pacific Journal of Operational Research 4 Journal of Global Optimization 4 Operations Research Transactions 3 Journal of Computational and Applied Mathematics 3 Acta Mathematicae Applicatae Sinica 3 SIAM Journal on Optimization 3 Applied Mathematics. Series B (English Edition) 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Optimization 2 Operations Research Letters 2 Journal of Computational Mathematics 2 IEEE Transactions on Signal Processing 2 Mathematical Programming. Series A. Series B 2 Chinese Journal of Numerical Mathematics and Applications 2 Journal of Machine Learning Research (JMLR) 2 Numerical Algebra, Control and Optimization 1 Inverse Problems 1 Information Processing Letters 1 Applied Mathematics and Computation 1 Journal of Statistical Planning and Inference 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Theoretical Computer Science 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematics in Practice and Theory 1 Advances in Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Algorithmica 1 Applied Mathematics Letters 1 Science in China. Series A 1 Systems Science and Mathematical Sciences 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 Chinese Science Bulletin 1 Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Statistica Sinica 1 Journal on Numerical Methods and Computer Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Abstract and Applied Analysis 1 Positivity 1 Journal of Inequalities and Applications 1 Journal of Combinatorial Optimization 1 Discrete Dynamics in Nature and Society 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Fixed Point Theory and Applications 1 Computational & Mathematical Methods in Medicine 1 Acta Mathematica Sinica. Chinese Series 1 Statistics and Its Interface 1 Set-Valued and Variational Analysis 1 Mathematical Programming Computation 1 Information and Inference
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#### Fields

 118 Operations research, mathematical programming (90-XX) 46 Numerical analysis (65-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 8 Operator theory (47-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Nonassociative rings and algebras (17-XX) 3 Real functions (26-XX) 2 History and biography (01-XX) 2 Biology and other natural sciences (92-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

98 Publications have been cited 1,107 times in 832 Documents Cited by Year
A note on the $$CQ$$ algorithm for the split feasibility problem. Zbl 1080.65033
Qu, Biao; Xiu, Naihua
2005
The sparsest solutions to $$Z$$-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
2017
Some recent advances in projection-type methods for variational inequalities. Zbl 1018.65083
Xiu, Naihua; Zhang, Jianzhong
2003
A global linear and local quadratic noninterior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing functions. Zbl 1037.90052
Chen, Bintong; Xiu, Naihua
1999
A regularized smoothing Newton method for symmetric cone complementarity problems. Zbl 1182.65092
Kong, Lingchen; Sun, Jie; Xiu, Naihua
2008
Path-following interior point algorithms for the Cartesian $$P_{*}(\kappa )$$-LCP over symmetric cones. Zbl 1237.90235
Luo, ZiYan; Xiu, NaiHua
2009
A new halfspace-relaxation projection method for the split feasibility problem. Zbl 1135.65022
Qu, Biao; Xiu, Naihua
2008
A new version of extragradient method for variational inequality problems. Zbl 0993.49005
Wang, Yiju; Xiu, Naihua; Wang, Changyu
2001
Unified framework of extragradient-type methods for pseudomonotone variational inequalities. Zbl 1039.49014
Wang, Y. J.; Xiu, N. H.; Wang, C. Y.
2001
Modified extragradient method for variational inequalities and verification of solution existence. Zbl 1045.49017
Wang, Y. J.; Xiu, N. H.; Zhang, J. Z.
2003
Convergence properties of projection and contraction methods for variational inequality problems. Zbl 0980.90093
Xiu, N.; Wang, C.; Zhang, Jianzhong
2001
Vector-valued implicit Lagrangian for symmetric cone complementarity problems. Zbl 1168.90622
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2009
Global projection-type error bounds for general variational inequalities. Zbl 1005.49004
Xiu, N. H.; Zhang, J. Z.
2002
Local convergence analysis of projection-type algorithms: unified approach. Zbl 1091.49011
Xiu, N. H.; Zhang, J. Z.
2002
Some new projection methods for variational inequalities. Zbl 1031.65078
Noor, Muhammad Aslam; Wang, Yiju; Xiu, Naihua
2003
Tangent projection equations and general variational inequalities. Zbl 1008.49010
Xiu, Naihua; Zhang, Jianzhong; Noor, Muhammad Aslam
2001
Improved approximation algorithms for the facility location problems with linear/submodular penalties. Zbl 1322.90045
Li, Yu; Du, Donglei; Xiu, Naihua; Xu, Dachuan
2015
The dual gap function for variational inequalities. Zbl 1048.49007
Zhang, Jianzhong; Wan, Changyu; Xiu, Naihua
2003
Superlinear noninterior one-step continuation method for monotone LCP in the absence of strict complementarity. Zbl 1041.90056
Chen, B.; Xiu, N.
2001
Some projection-like methods for the generalized Nash equilibria. Zbl 1198.91026
Zhang, Jianzhong; Qu, Biao; Xiu, Naihua
2010
Convergence of the gradient projection method for generalized convex minimization. Zbl 0963.90058
Wang, Changyu; Xiu, Naihua
2000
On finite convergence of proximal point algorithms for variational inequalities. Zbl 1083.49011
Xiu, Naihua; Zhang, Jianzhong
2005
Clarke generalized Jacobian of the projection onto symmetric cones. Zbl 1168.49043
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2009
New smooth C-functions for symmetric cone complementarity problems. Zbl 1220.90133
Kong, Lingchen; Xiu, Naihua
2007
Exact low-rank matrix recovery via nonconvex Schatten $$p$$-minimization. Zbl 1273.90257
Kong, Lingchen; Xiu, Naihua
2013
A smoothing Gauss-Newton method for the generalized HLCP. Zbl 0985.65070
Xiu, Naihua; Zhang, Jianzhong
2001
Some majorization inequalities in Euclidean Jordan algebras. Zbl 1352.17032
Tao, J.; Kong, Lingchen; Luo, Ziyan; Xiu, Naihua
2014
A Lagrangian dual approach to the single-source localization problem. Zbl 1393.94401
Qi, Hou-Duo; Xiu, Naihua; Yuan, Xiaoming
2013
Global $$s$$-type error bound for the extended linear complementarity problem and applications. Zbl 1101.90397
Zhang, Jianzhong; Xiu, Naihua
2000
Equivalent conditions for Jacobian nonsingularity in linear symmetric cone programming. Zbl 1229.90080
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2011
On solutions of sparsity constrained optimization. Zbl 1332.90216
Pan, Li-Li; Xiu, Nai-Hua; Zhou, Sheng-Long
2015
A note on the gradient projection method with exact stepsize rule. Zbl 1174.90018
Xiu, Naihua; Wang, Changyu; Kong, Lingchen
2007
Projection iterative schemes for general variational inequalities. Zbl 1142.49304
Noor, Muhammad Aslam; Wang, Yi Ju; Xiu, Naihua
2002
A characteristic quantity of P-matrices. Zbl 1175.90421
Xiu, Naihua; Zhang, Jianzhong
2002
Minimal zero norm solutions of linear complementarity problems. Zbl 1336.90092
Shang, Meijuan; Zhang, Chao; Xiu, Naihua
2014
Improved approximation algorithms for the facility location problems with linear/submodular penalty. Zbl 1381.90053
Li, Yu; Du, Donglei; Xiu, Naihua; Xu, Dachuan
2013
A convergent iterative hard thresholding for nonnegative sparsity optimization. Zbl 1384.90078
Pan, Lili; Zhou, Shenglong; Xiu, Naihua; Qi, Houduo
2017
Global solutions of non-Lipschitz $$S_{2}$$-$$S_{p}$$ minimization over the positive semidefinite cone. Zbl 1326.90063
Chen, Yongqiang; Xiu, Naihua; Peng, Dingtao
2014
Optimality conditions for sparse nonlinear programming. Zbl 1365.90220
Pan, LiLi; Xiu, NaiHua; Fan, Jun
2017
The Fischer-Burmeister complementarity function on Euclidean Jordan algebras. Zbl 1220.90132
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2010
Identification of the optimal active set in a noninterior continuation method for LCP. Zbl 1036.90070
Xiu, Naihua; Zhang, Jianzhong
2003
Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems. Zbl 1245.90130
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2012
The new advances in methods for complementarity problems. Zbl 1054.90634
Xiu, Naihua; Gao, Ziyou
1999
Robust two-stage stochastic linear optimization with risk aversion. Zbl 1394.90449
Ling, Aifan; Sun, Jie; Xiu, Naihua; Yang, Xiaoguang
2017
Solution properties and error bounds for semi-infinite complementarity problems. Zbl 1263.90105
Zhou, Jinchuan; Xiu, Naihua; Chen, Jein-Shan
2013
Modified fixed-point equations and related iterative methods for variational inequalities. Zbl 1057.49013
Xiu, Naihua; Wang, Yiju; Zhang, Xiangsun
2004
$$S_{1/2}$$ regularization methods and fixed point algorithms for affine rank minimization problems. Zbl 1400.90223
Peng, Dingtao; Xiu, Naihua; Yu, Jian
2017
On cone of nonsymmetric positive semidefinite matrices. Zbl 1195.15035
Wang, Yingnan; Xiu, Naihua; Han, Jiye
2010
The solution set structure of monotone linear complementarity problems over second-order cone. Zbl 1180.90336
Kong, Lingchen; Xiu, Naihua; Han, Jiye
2008
New bounds for RIC in compressed sensing. Zbl 1334.90128
Zhou, Shenglong; Kong, Lingchen; Xiu, Naihua
2013
$$s$$-goodness for low-rank matrix recovery. Zbl 1317.94027
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2013
A family of supermemory gradient projection methods for constrained optimization. Zbl 1145.90465
Wang, Y. J.; Wang, C. Y.; Xiu, N. H.
2002
First-order optimality conditions for convex semi-infinite min-max programming with noncompact sets. Zbl 1196.90121
Zhou, Jinchuan; Wang, Changyu; Xiu, Naihua; Wu, Soonyi
2009
Simultaneous approximation of multi-criteria submodular function maximization. Zbl 1307.90157
Du, Dong-Lei; Li, Yu; Xiu, Nai-Hua; Xu, Da-Chuan
2014
Robust solutions of split feasibility problem with uncertain linear operator. Zbl 1242.90169
Yan, Ai-Ling; Wang, Gao-Yang; Xiu, Nai-Hua
2007
The nonnegative zero-norm minimization under generalized $$Z$$-matrix measurement. Zbl 1303.90102
Luo, Ziyan; Qin, Linxia; Kong, Lingchen; Xiu, Naihua
2014
Complete characterizations of local weak sharp minima with applications to semi-infinite optimization and complementarity. Zbl 1236.49038
Zhou, Jinchuan; Mordukhovich, Boris S.; Xiu, Naihua
2012
Analysis on Newton projection method for the split feasibility problem. Zbl 1375.90286
Qu, Biao; Wang, Changyu; Xiu, Naihua
2017
Asymptotic properties for M-estimators in linear models with dependent random errors. Zbl 1432.62206
Fan, Jun; Yan, Ailing; Xiu, Naihua
2014
$$s$$-semigoodness for low-rank semidefinite matrix recovery. Zbl 1310.90085
Kong, Lingchen; Sun, Jie; Xiu, Naihua
2014
Generic uniqueness theorems with some applications. Zbl 1286.47033
Peng, Dingtao; Yu, Jian; Xiu, Naihua
2013
Restricted Robinson constraint qualification and optimality for cardinality-constrained cone programming. Zbl 1386.90118
Pan, Lili; Luo, Ziyan; Xiu, Naihua
2017
A fast matrix majorization-projection method for penalized stress minimization with box constraints. Zbl 1414.90260
Zhou, Shenglong; Xiu, Naihua; Qi, Hou-Duo
2018
Local convergence behavior of some projection-type methods for affine variational inequalities. Zbl 0966.49007
Zhang, J. Z.; Xiu, N. H.
2001
An $$O(rL)$$ infeasible interior-point algorithm for symmetric cone LCP via CHKS function. Zbl 1205.90280
Luo, Zi-Yan; Xiu, Nai-Hua
2009
Saddle point and exact penalty representation for generalized proximal Lagrangians. Zbl 1254.90182
Zhou, Jinchuan; Xiu, Naihua; Wang, Changyu
2012
A combinatorial 2.375-approximation algorithm for the facility location problem with submodular penalties. Zbl 1292.90253
Li, Yu; Du, Donglei; Xiu, Naihua; Xu, Dachuan
2013
Constrained best Euclidean distance embedding on a sphere: a matrix optimization approach. Zbl 1326.49043
Bai, Shuanghua; Qi, Huo-Duo; Xiu, Naihua
2015
Sparse recovery on Euclidean Jordan algebras. Zbl 1302.90150
Kong, Lingchen; Sun, Jie; Tao, Jiyuan; Xiu, Naihua
2015
Convergence analysis of Gauss-Newton methods for the complementarity problem. Zbl 0899.90158
Subramanian, P. K.; Xiu, N. H.
1997
A class of trust region methods for linear inequality constrained optimization and its theory analysis. I: Algorithm and global convergence. Zbl 0840.90122
Xiu, Naihua
1995
Block relaxation and majorization methods for the nearest correlation matrix with factor structure. Zbl 1236.90119
Li, Qingna; Qi, Houduo; Xiu, Naihua
2011
An approximation algorithm for the $$k$$-median warehouse-retailer network design problem. Zbl 1292.90254
Li, Yu; Xiu, NaiHua; Xu, DaChuan
2013
The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set. Zbl 1338.49052
Peng, Ding-Tao; Yu, Jian; Xiu, Nai-Hua
2014
A convex quadratic semi-definite programming approach to the partial additive constant problem in multidimensional scaling. Zbl 1293.90050
Qi, Houduo; Xiu, Naihua
2012
Variable selection in sparse regression with quadratic measurements. Zbl 1394.62091
Fan, Jun; Kong, Lingchen; Wang, Liqun; Xiu, Naihua
2018
Feasibility and solvability of Lyapunov-type linear programming over symmetric cones. Zbl 1225.90099
Luo, Ziyan; Xiu, Naihua
2010
Linear program relaxation of sparse nonnegative recovery in compressive sensing microarrays. Zbl 1254.92028
Qin, Linxia; Xiu, Naihua; Kong, Lingchen; Li, Yu
2012
Generic uniqueness of solutions for a class of vector ky fan inequalities. Zbl 1270.90103
Peng, D. T.; Yu, J.; Xiu, N. H.
2012
One-step quadratic convergence of noninterior continuation method for NCP. Zbl 1041.90534
Xiu, Naihua
1999
Improved approximation algorithms for the robust fault-tolerant facility location problem. Zbl 1243.68326
Li, Yu; Xu, Dachuan; Du, Donglei; Xiu, Naihua
2012
A new active set method for nonnegative matrix factorization. Zbl 1314.65060
Zhang, Chao; Jing, Liping; Xiu, Naihua
2014
Solving the OSCAR and SLOPE models using a semismooth Newton-based augmented Lagrangian method. Zbl 1434.68430
Luo, Ziyan; Sun, Defeng; Toh, Kim-Chuan; Xiu, Naihua
2019
An improved active set method for nonconvex quadratic programming problems. Zbl 0893.65043
Xiu, Naihua
1994
A class of trust region methods for linear inequality constrained optimization and its theory analysis. II: Local convergence rate and numerical tests. Zbl 0852.90121
Xiu, Naihua
1995
Sparse and low-rank covariance matrix estimation. Zbl 1327.62428
Zhou, Sheng-Long; Xiu, Nai-Hua; Luo, Zi-Yan; Kong, Ling-Chen
2015
Half thresholding eigenvalue algorithm for semidefinite matrix completion. Zbl 1327.90107
Chen, YongQiang; Luo, ZiYan; Xiu, NaiHua
2015
Strong semismoothness of projection onto slices of second-order cone. Zbl 1231.49012
Wang, Yingnan; Xiu, Naihua
2011
Global error bounds for the extended vertical LCP. Zbl 1233.90267
Zhang, Chao; Chen, Xiaojun; Xiu, Naihua
2009
A sequential majorization method for approximating weighted time series of finite rank. Zbl 06944671
Qi, Hou-Duo; Shen, Jian; Xiu, Naihua
2018
A unified dual-fitting approximation algorithm for the facility location problems with linear/submodular penalties. Zbl 1296.90072
Li, Yu; Du, Donglei; Xiu, Naihua; Xu, Dachuan
2014
Lyapunov-type least-squares problems over symmetric cones. Zbl 1260.65032
Luo, Ziyan; Xiu, Naihua; Kong, Lingchen
2012
Lowest-rank solutions of continuous and discrete Lyapunov equations over symmetric cone. Zbl 1291.90189
Luo, Ziyan; Tao, Jiyuan; Xiu, Naihua
2014
New projection-type methods for monotone LCP with finite termination. Zbl 1040.65050
Zhang, Jianzhong; Xiu, Naihua
2002
Extragradient thresholding methods for sparse solutions of co-coercive ncps. Zbl 1308.90183
Shang, Meijuan; Zhou, Shenglong; Xiu, Naihua
2015
The stepsize rule of an extragradient method for monotone variational inequalities. Zbl 0959.49008
Xiu, Naihua; Wang, Changyu
2000
Optimality conditions for rank-constrained matrix optimization. Zbl 1438.90272
Li, Xin-Rong; Song, Wen; Xiu, Nai-Hua
2019
An extended Newton-type algorithm for $$\ell_2$$-regularized sparse logistic regression and its efficiency for classifying large-scale datasets. Zbl 07358621
Wang, Rui; Xiu, Naihua; Zhou, Shenglong
2021
An extended Newton-type algorithm for $$\ell_2$$-regularized sparse logistic regression and its efficiency for classifying large-scale datasets. Zbl 07358621
Wang, Rui; Xiu, Naihua; Zhou, Shenglong
2021
Solving the OSCAR and SLOPE models using a semismooth Newton-based augmented Lagrangian method. Zbl 1434.68430
Luo, Ziyan; Sun, Defeng; Toh, Kim-Chuan; Xiu, Naihua
2019
Optimality conditions for rank-constrained matrix optimization. Zbl 1438.90272
Li, Xin-Rong; Song, Wen; Xiu, Nai-Hua
2019
A fast matrix majorization-projection method for penalized stress minimization with box constraints. Zbl 1414.90260
Zhou, Shenglong; Xiu, Naihua; Qi, Hou-Duo
2018
Variable selection in sparse regression with quadratic measurements. Zbl 1394.62091
Fan, Jun; Kong, Lingchen; Wang, Liqun; Xiu, Naihua
2018
A sequential majorization method for approximating weighted time series of finite rank. Zbl 06944671
Qi, Hou-Duo; Shen, Jian; Xiu, Naihua
2018
The sparsest solutions to $$Z$$-tensor complementarity problems. Zbl 1394.90540
Luo, Ziyan; Qi, Liqun; Xiu, Naihua
2017
A convergent iterative hard thresholding for nonnegative sparsity optimization. Zbl 1384.90078
Pan, Lili; Zhou, Shenglong; Xiu, Naihua; Qi, Houduo
2017
Optimality conditions for sparse nonlinear programming. Zbl 1365.90220
Pan, LiLi; Xiu, NaiHua; Fan, Jun
2017
Robust two-stage stochastic linear optimization with risk aversion. Zbl 1394.90449
Ling, Aifan; Sun, Jie; Xiu, Naihua; Yang, Xiaoguang
2017
$$S_{1/2}$$ regularization methods and fixed point algorithms for affine rank minimization problems. Zbl 1400.90223
Peng, Dingtao; Xiu, Naihua; Yu, Jian
2017
Analysis on Newton projection method for the split feasibility problem. Zbl 1375.90286
Qu, Biao; Wang, Changyu; Xiu, Naihua
2017
Restricted Robinson constraint qualification and optimality for cardinality-constrained cone programming. Zbl 1386.90118
Pan, Lili; Luo, Ziyan; Xiu, Naihua
2017
Improved approximation algorithms for the facility location problems with linear/submodular penalties. Zbl 1322.90045
Li, Yu; Du, Donglei; Xiu, Naihua; Xu, Dachuan
2015
On solutions of sparsity constrained optimization. Zbl 1332.90216
Pan, Li-Li; Xiu, Nai-Hua; Zhou, Sheng-Long
2015
Constrained best Euclidean distance embedding on a sphere: a matrix optimization approach. Zbl 1326.49043
Bai, Shuanghua; Qi, Huo-Duo; Xiu, Naihua
2015
Sparse recovery on Euclidean Jordan algebras. Zbl 1302.90150
Kong, Lingchen; Sun, Jie; Tao, Jiyuan; Xiu, Naihua
2015
Sparse and low-rank covariance matrix estimation. Zbl 1327.62428
Zhou, Sheng-Long; Xiu, Nai-Hua; Luo, Zi-Yan; Kong, Ling-Chen
2015
Half thresholding eigenvalue algorithm for semidefinite matrix completion. Zbl 1327.90107
Chen, YongQiang; Luo, ZiYan; Xiu, NaiHua
2015
Extragradient thresholding methods for sparse solutions of co-coercive ncps. Zbl 1308.90183
Shang, Meijuan; Zhou, Shenglong; Xiu, Naihua
2015
Some majorization inequalities in Euclidean Jordan algebras. Zbl 1352.17032
Tao, J.; Kong, Lingchen; Luo, Ziyan; Xiu, Naihua
2014
Minimal zero norm solutions of linear complementarity problems. Zbl 1336.90092
Shang, Meijuan; Zhang, Chao; Xiu, Naihua
2014
Global solutions of non-Lipschitz $$S_{2}$$-$$S_{p}$$ minimization over the positive semidefinite cone. Zbl 1326.90063
Chen, Yongqiang; Xiu, Naihua; Peng, Dingtao
2014
Simultaneous approximation of multi-criteria submodular function maximization. Zbl 1307.90157
Du, Dong-Lei; Li, Yu; Xiu, Nai-Hua; Xu, Da-Chuan
2014
The nonnegative zero-norm minimization under generalized $$Z$$-matrix measurement. Zbl 1303.90102
Luo, Ziyan; Qin, Linxia; Kong, Lingchen; Xiu, Naihua
2014
Asymptotic properties for M-estimators in linear models with dependent random errors. Zbl 1432.62206
Fan, Jun; Yan, Ailing; Xiu, Naihua
2014
$$s$$-semigoodness for low-rank semidefinite matrix recovery. Zbl 1310.90085
Kong, Lingchen; Sun, Jie; Xiu, Naihua
2014
The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set. Zbl 1338.49052
Peng, Ding-Tao; Yu, Jian; Xiu, Nai-Hua
2014
A new active set method for nonnegative matrix factorization. Zbl 1314.65060
Zhang, Chao; Jing, Liping; Xiu, Naihua
2014
A unified dual-fitting approximation algorithm for the facility location problems with linear/submodular penalties. Zbl 1296.90072
Li, Yu; Du, Donglei; Xiu, Naihua; Xu, Dachuan
2014
Lowest-rank solutions of continuous and discrete Lyapunov equations over symmetric cone. Zbl 1291.90189
Luo, Ziyan; Tao, Jiyuan; Xiu, Naihua
2014
Exact low-rank matrix recovery via nonconvex Schatten $$p$$-minimization. Zbl 1273.90257
Kong, Lingchen; Xiu, Naihua
2013
A Lagrangian dual approach to the single-source localization problem. Zbl 1393.94401
Qi, Hou-Duo; Xiu, Naihua; Yuan, Xiaoming
2013
Improved approximation algorithms for the facility location problems with linear/submodular penalty. Zbl 1381.90053
Li, Yu; Du, Donglei; Xiu, Naihua; Xu, Dachuan
2013
Solution properties and error bounds for semi-infinite complementarity problems. Zbl 1263.90105
Zhou, Jinchuan; Xiu, Naihua; Chen, Jein-Shan
2013
New bounds for RIC in compressed sensing. Zbl 1334.90128
Zhou, Shenglong; Kong, Lingchen; Xiu, Naihua
2013
$$s$$-goodness for low-rank matrix recovery. Zbl 1317.94027
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2013
Generic uniqueness theorems with some applications. Zbl 1286.47033
Peng, Dingtao; Yu, Jian; Xiu, Naihua
2013
A combinatorial 2.375-approximation algorithm for the facility location problem with submodular penalties. Zbl 1292.90253
Li, Yu; Du, Donglei; Xiu, Naihua; Xu, Dachuan
2013
An approximation algorithm for the $$k$$-median warehouse-retailer network design problem. Zbl 1292.90254
Li, Yu; Xiu, NaiHua; Xu, DaChuan
2013
Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems. Zbl 1245.90130
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2012
Complete characterizations of local weak sharp minima with applications to semi-infinite optimization and complementarity. Zbl 1236.49038
Zhou, Jinchuan; Mordukhovich, Boris S.; Xiu, Naihua
2012
Saddle point and exact penalty representation for generalized proximal Lagrangians. Zbl 1254.90182
Zhou, Jinchuan; Xiu, Naihua; Wang, Changyu
2012
A convex quadratic semi-definite programming approach to the partial additive constant problem in multidimensional scaling. Zbl 1293.90050
Qi, Houduo; Xiu, Naihua
2012
Linear program relaxation of sparse nonnegative recovery in compressive sensing microarrays. Zbl 1254.92028
Qin, Linxia; Xiu, Naihua; Kong, Lingchen; Li, Yu
2012
Generic uniqueness of solutions for a class of vector ky fan inequalities. Zbl 1270.90103
Peng, D. T.; Yu, J.; Xiu, N. H.
2012
Improved approximation algorithms for the robust fault-tolerant facility location problem. Zbl 1243.68326
Li, Yu; Xu, Dachuan; Du, Donglei; Xiu, Naihua
2012
Lyapunov-type least-squares problems over symmetric cones. Zbl 1260.65032
Luo, Ziyan; Xiu, Naihua; Kong, Lingchen
2012
Equivalent conditions for Jacobian nonsingularity in linear symmetric cone programming. Zbl 1229.90080
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2011
Block relaxation and majorization methods for the nearest correlation matrix with factor structure. Zbl 1236.90119
Li, Qingna; Qi, Houduo; Xiu, Naihua
2011
Strong semismoothness of projection onto slices of second-order cone. Zbl 1231.49012
Wang, Yingnan; Xiu, Naihua
2011
Some projection-like methods for the generalized Nash equilibria. Zbl 1198.91026
Zhang, Jianzhong; Qu, Biao; Xiu, Naihua
2010
The Fischer-Burmeister complementarity function on Euclidean Jordan algebras. Zbl 1220.90132
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2010
On cone of nonsymmetric positive semidefinite matrices. Zbl 1195.15035
Wang, Yingnan; Xiu, Naihua; Han, Jiye
2010
Feasibility and solvability of Lyapunov-type linear programming over symmetric cones. Zbl 1225.90099
Luo, Ziyan; Xiu, Naihua
2010
Path-following interior point algorithms for the Cartesian $$P_{*}(\kappa )$$-LCP over symmetric cones. Zbl 1237.90235
Luo, ZiYan; Xiu, NaiHua
2009
Vector-valued implicit Lagrangian for symmetric cone complementarity problems. Zbl 1168.90622
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2009
Clarke generalized Jacobian of the projection onto symmetric cones. Zbl 1168.49043
Kong, Lingchen; Tunçel, Levent; Xiu, Naihua
2009
First-order optimality conditions for convex semi-infinite min-max programming with noncompact sets. Zbl 1196.90121
Zhou, Jinchuan; Wang, Changyu; Xiu, Naihua; Wu, Soonyi
2009
An $$O(rL)$$ infeasible interior-point algorithm for symmetric cone LCP via CHKS function. Zbl 1205.90280
Luo, Zi-Yan; Xiu, Nai-Hua
2009
Global error bounds for the extended vertical LCP. Zbl 1233.90267
Zhang, Chao; Chen, Xiaojun; Xiu, Naihua
2009
A regularized smoothing Newton method for symmetric cone complementarity problems. Zbl 1182.65092
Kong, Lingchen; Sun, Jie; Xiu, Naihua
2008
A new halfspace-relaxation projection method for the split feasibility problem. Zbl 1135.65022
Qu, Biao; Xiu, Naihua
2008
The solution set structure of monotone linear complementarity problems over second-order cone. Zbl 1180.90336
Kong, Lingchen; Xiu, Naihua; Han, Jiye
2008
New smooth C-functions for symmetric cone complementarity problems. Zbl 1220.90133
Kong, Lingchen; Xiu, Naihua
2007
A note on the gradient projection method with exact stepsize rule. Zbl 1174.90018
Xiu, Naihua; Wang, Changyu; Kong, Lingchen
2007
Robust solutions of split feasibility problem with uncertain linear operator. Zbl 1242.90169
Yan, Ai-Ling; Wang, Gao-Yang; Xiu, Nai-Hua
2007
A note on the $$CQ$$ algorithm for the split feasibility problem. Zbl 1080.65033
Qu, Biao; Xiu, Naihua
2005
On finite convergence of proximal point algorithms for variational inequalities. Zbl 1083.49011
Xiu, Naihua; Zhang, Jianzhong
2005
Modified fixed-point equations and related iterative methods for variational inequalities. Zbl 1057.49013
Xiu, Naihua; Wang, Yiju; Zhang, Xiangsun
2004
Some recent advances in projection-type methods for variational inequalities. Zbl 1018.65083
Xiu, Naihua; Zhang, Jianzhong
2003
Modified extragradient method for variational inequalities and verification of solution existence. Zbl 1045.49017
Wang, Y. J.; Xiu, N. H.; Zhang, J. Z.
2003
Some new projection methods for variational inequalities. Zbl 1031.65078
Noor, Muhammad Aslam; Wang, Yiju; Xiu, Naihua
2003
The dual gap function for variational inequalities. Zbl 1048.49007
Zhang, Jianzhong; Wan, Changyu; Xiu, Naihua
2003
Identification of the optimal active set in a noninterior continuation method for LCP. Zbl 1036.90070
Xiu, Naihua; Zhang, Jianzhong
2003
Global projection-type error bounds for general variational inequalities. Zbl 1005.49004
Xiu, N. H.; Zhang, J. Z.
2002
Local convergence analysis of projection-type algorithms: unified approach. Zbl 1091.49011
Xiu, N. H.; Zhang, J. Z.
2002
Projection iterative schemes for general variational inequalities. Zbl 1142.49304
Noor, Muhammad Aslam; Wang, Yi Ju; Xiu, Naihua
2002
A characteristic quantity of P-matrices. Zbl 1175.90421
Xiu, Naihua; Zhang, Jianzhong
2002
A family of supermemory gradient projection methods for constrained optimization. Zbl 1145.90465
Wang, Y. J.; Wang, C. Y.; Xiu, N. H.
2002
New projection-type methods for monotone LCP with finite termination. Zbl 1040.65050
Zhang, Jianzhong; Xiu, Naihua
2002
A new version of extragradient method for variational inequality problems. Zbl 0993.49005
Wang, Yiju; Xiu, Naihua; Wang, Changyu
2001
Unified framework of extragradient-type methods for pseudomonotone variational inequalities. Zbl 1039.49014
Wang, Y. J.; Xiu, N. H.; Wang, C. Y.
2001
Convergence properties of projection and contraction methods for variational inequality problems. Zbl 0980.90093
Xiu, N.; Wang, C.; Zhang, Jianzhong
2001
Tangent projection equations and general variational inequalities. Zbl 1008.49010
Xiu, Naihua; Zhang, Jianzhong; Noor, Muhammad Aslam
2001
Superlinear noninterior one-step continuation method for monotone LCP in the absence of strict complementarity. Zbl 1041.90056
Chen, B.; Xiu, N.
2001
A smoothing Gauss-Newton method for the generalized HLCP. Zbl 0985.65070
Xiu, Naihua; Zhang, Jianzhong
2001
Local convergence behavior of some projection-type methods for affine variational inequalities. Zbl 0966.49007
Zhang, J. Z.; Xiu, N. H.
2001
Convergence of the gradient projection method for generalized convex minimization. Zbl 0963.90058
Wang, Changyu; Xiu, Naihua
2000
Global $$s$$-type error bound for the extended linear complementarity problem and applications. Zbl 1101.90397
Zhang, Jianzhong; Xiu, Naihua
2000
The stepsize rule of an extragradient method for monotone variational inequalities. Zbl 0959.49008
Xiu, Naihua; Wang, Changyu
2000
A global linear and local quadratic noninterior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing functions. Zbl 1037.90052
Chen, Bintong; Xiu, Naihua
1999
The new advances in methods for complementarity problems. Zbl 1054.90634
Xiu, Naihua; Gao, Ziyou
1999
One-step quadratic convergence of noninterior continuation method for NCP. Zbl 1041.90534
Xiu, Naihua
1999
Convergence analysis of Gauss-Newton methods for the complementarity problem. Zbl 0899.90158
Subramanian, P. K.; Xiu, N. H.
1997
A class of trust region methods for linear inequality constrained optimization and its theory analysis. I: Algorithm and global convergence. Zbl 0840.90122
Xiu, Naihua
1995
A class of trust region methods for linear inequality constrained optimization and its theory analysis. II: Local convergence rate and numerical tests. Zbl 0852.90121
Xiu, Naihua
1995
An improved active set method for nonconvex quadratic programming problems. Zbl 0893.65043
Xiu, Naihua
1994
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#### Cited by 866 Authors

 48 Xiu, Naihua 38 Huang, Zheng-Hai 28 Noor, Muhammad Aslam 23 Shehu, Yekini 23 Xu, Dachuan 22 Wang, Yiju 21 Qi, Liqun 17 Chen, Jein-Shan 16 Kong, Lingchen 16 Liu, Sanyang 16 Wu, Chenchen 15 Wang, Changyu 15 Zhou, Jinchuan 14 Du, Donglei 14 Fang, Liang 14 Yao, Yonghong 13 Ma, Changfeng 13 Tang, Jingyong 12 Liou, Yeongcheng 12 Luo, ZiYan 11 Chen, Rudong 11 He, Songnian 11 Zhang, Liping 10 Ansari, Qamrul Hasan 10 Bnouhachem, Abdellah 10 Ceng, Lu-Chuan 10 Li, Meixia 10 Qu, Biao 10 Yang, Qingzhi 10 Yao, Jen-Chih 10 Zhao, Jing 9 Chen, Haibin 9 Dang, Yazheng 9 Liu, Hongwei 9 Sun, Hongchun 9 Wang, Guoqiang 9 Wei, Yimin 9 Zangiabadi, Maryam 9 Zhou, Shenglong 8 Che, Haitao 8 Cholamjiak, Prasit 8 Dong, Li 8 Li, Shengjie 8 Miao, Xinhe 8 Qi, Houduo 7 Bello Cruz, Jose Yunier 7 Dong, Qiaoli 7 Han, Deren 7 He, Hongjin 7 Iyiola, Olaniyi Samuel 7 Lu, Nan 7 Mansouri, Hossein 7 Pan, Shaohua 7 Song, Yisheng 7 Wang, Fenghui 7 Zhang, Jianzhong 6 Bai, Xueli 6 Che, Maolin 6 Cho, Yeol Je 6 Gibali, Aviv 6 Gu, Weizhe 6 Huang, Nan-Jing 6 Li, Qingna 6 Peng, Jigen 6 Shi, Luoyi 6 Sun, Jie 6 Tao, Jiyuan 6 Yang, Weihong 6 Zhang, Dongmei 6 Zhang, Lei-Hong 5 Asadi, Soodabeh 5 Chang, Shih-Sen 5 Chi, Xiaoni 5 Dương Việt Thông 5 Fang, Changjie 5 Gowda, Muddappa Seetharama 5 Han, Jiye 5 Li, Yuanmin 5 Ling, Chen 5 Noor, Khalida Inayat 5 Suantai, Suthep 5 Tang, Guoji 5 Tang, Jia 5 Tang, Yuchao 5 Wang, Lin 5 Wang, Peiyuan 5 Wang, Xueyong 5 Wang, Yishui 5 Wei, Deyun 5 Wu, Yujing 4 Bi, Shujun 4 Chen, Shenglan 4 Chuang, Chih-Sheng 4 Du, Shouqiang 4 Eslamian, Mohammad 4 Gao, Yan 4 He, Guoping 4 He, Yiran 4 Hu, ShengLong 4 Iusem, Alfredo Noel ...and 766 more Authors
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#### Cited in 123 Serials

 62 Journal of Optimization Theory and Applications 52 Optimization 44 Applied Mathematics and Computation 38 Optimization Letters 35 Journal of Global Optimization 30 Computational Optimization and Applications 29 Journal of Computational and Applied Mathematics 29 Journal of Inequalities and Applications 25 Abstract and Applied Analysis 25 Fixed Point Theory and Applications 24 Numerical Algorithms 23 Mathematical Problems in Engineering 21 Journal of Industrial and Management Optimization 19 Journal of Mathematical Analysis and Applications 17 Linear Algebra and its Applications 14 Optimization Methods & Software 14 Journal of Applied Mathematics 13 Journal of Applied Mathematics and Computing 12 Numerical Functional Analysis and Optimization 12 Journal of the Operations Research Society of China 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Computers & Mathematics with Applications 9 Acta Mathematicae Applicatae Sinica. English Series 9 Asia-Pacific Journal of Operational Research 9 Journal of Fixed Point Theory and Applications 8 Applied Mathematics Letters 8 Journal of Scientific Computing 8 Computational and Applied Mathematics 7 Mathematical Programming. Series A. Series B 7 SIAM Journal on Optimization 7 Journal of Combinatorial Optimization 7 Journal of Nonlinear Science and Applications 7 Set-Valued and Variational Analysis 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Operations Research Letters 6 Applied Numerical Mathematics 5 Theoretical Computer Science 5 European Journal of Operational Research 5 Mathematical Methods of Operations Research 5 Frontiers of Mathematics in China 5 Science China. Mathematics 4 Applied Mathematics and Optimization 4 Applications of Mathematics 4 Applied Mathematics. Series B (English Edition) 4 Thai Journal of Mathematics 4 Afrika Matematika 4 Journal of Function Spaces 3 International Journal of Modern Physics B 3 Linear and Multilinear Algebra 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics and Mechanics. (English Edition) 3 Annals of Operations Research 3 Cybernetics and Systems Analysis 3 Vietnam Journal of Mathematics 3 Positivity 3 Acta Mathematica Sinica. English Series 2 Calcolo 2 Mathematics and Computers in Simulation 2 Mathematics of Operations Research 2 Acta Applicandae Mathematicae 2 Science in China. Series A 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Automation and Remote Control 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 Filomat 2 Journal of Convex Analysis 2 Nonlinear Analysis. Real World Applications 2 Journal of Systems Science and Complexity 2 Inverse Problems in Science and Engineering 2 Asian-European Journal of Mathematics 2 Numerical Algebra, Control and Optimization 2 Journal of Mathematics 1 Applicable Analysis 1 Discrete Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Journal of Multivariate Analysis 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Bulletin of the Iranian Mathematical Society 1 Algorithmica 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Multidimensional Systems and Signal Processing 1 Chinese Science Bulletin 1 Archive of Applied Mechanics 1 Set-Valued Analysis 1 Applied and Computational Harmonic Analysis 1 Statistical Papers 1 Engineering Analysis with Boundary Elements 1 ELA. The Electronic Journal of Linear Algebra 1 Theory of Computing Systems 1 Australian & New Zealand Journal of Statistics 1 Discrete Dynamics in Nature and Society 1 Communications of the Korean Mathematical Society ...and 23 more Serials
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#### Cited in 26 Fields

 549 Operations research, mathematical programming (90-XX) 314 Numerical analysis (65-XX) 200 Operator theory (47-XX) 198 Calculus of variations and optimal control; optimization (49-XX) 77 Linear and multilinear algebra; matrix theory (15-XX) 28 Computer science (68-XX) 16 Statistics (62-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Information and communication theory, circuits (94-XX) 15 Nonassociative rings and algebras (17-XX) 14 General topology (54-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Real functions (26-XX) 8 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 4 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 2 Convex and discrete geometry (52-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX)