A Global Linear and Local Quadratic Noninterior Continuation Method for Nonlinear Complementarity Problems Based on Chen-Mangasarian Smoothing Functions. - Bintong Chen; Naihua Xiu (SIAM J. Optim., 1999)

Convergence of the Gradient Projection Method for Generalized Convex Minimization. - Changyu Wang; Naihua Xiu (Comput. Optim. Appl., 2000)

Global s -type error bound for the extended linear complementarity problem and applications. - Jianzhong Zhang 001; Naihua Xiu (Math. Program., 2000)

A characteristic quantity of P-matrices. - Naihua Xiu; Jianzhong Zhang 001 (Appl. Math. Lett., 2002)

New projection-type methods for monotone LCP with finite termination. - Jianzhong Zhang 001; Naihua Xiu (Numerische Mathematik, 2002)

Some new projection methods for variational inequalities. - Muhammad Aslam Noor; Yiju Wang; Naihua Xiu (Appl. Math. Comput., 2003)

Identification of the Optimal Active Set in a Noninterior Continuation Method for LCP. - Naihua Xiu; Jianzhong Zhang 001 (J. Glob. Optim., 2003)

New smooth C-functions for symmetric cone complementarity problems. - Lingchen Kong; Naihua Xiu (Optim. Lett., 2007)

The solution set structure of monotone linear complementarity problems over second-order cone. - Lingchen Kong; Naihua Xiu; Jiye Han (Oper. Res. Lett., 2008)

A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems. - Lingchen Kong; Jie Sun 001; Naihua Xiu (SIAM J. Optim., 2008)

Vector-Valued Implicit Lagrangian for Symmetric Cone complementarity Problems. - Lingchen Kong; Levent Tunçel; Naihua Xiu (Asia Pac. J. Oper. Res., 2009)

Global error bounds for the extended vertical LCP. - Chao Zhang 056; Xiaojun Chen 001; Naihua Xiu (Comput. Optim. Appl., 2009)

Some projection-like methods for the generalized Nash equilibria. - Jianzhong Zhang 001; Biao Qu; Naihua Xiu (Comput. Optim. Appl., 2010)

Block relaxation and majorization methods for the nearest correlation matrix with factor structure. - Qingna Li; Houduo Qi; Naihua Xiu (Comput. Optim. Appl., 2011)

Sufficient Conditions for Low-rank Matrix Recovery, Translated from Sparse Signal Recovery - Lingchen Kong; Levent Tunçel; Naihua Xiu (CoRR, 2011)

Equivalent Conditions for Jacobian Nonsingularity in Linear Symmetric Cone Programming. - Lingchen Kong; Levent Tunçel; Naihua Xiu (J. Optim. Theory Appl., 2011)

Strong Semismoothness of Projection onto Slices of Second-Order Cone. - Yingnan Wang; Naihua Xiu (J. Optim. Theory Appl., 2011)

A regularized strong duality for nonsymmetric semidefinite least squares problem. - Yingnan Wang; Naihua Xiu; Ziyan Luo (Optim. Lett., 2011)

Linear Program Relaxation of Sparse Nonnegative Recovery in Compressive Sensing Microarrays. - Linxia Qin; Naihua Xiu; Lingchen Kong; Yu Li (Comput. Math. Methods Medicine, 2012)

Improved approximation algorithms for the robust fault-tolerant facility location problem. - Yu Li; Dachuan Xu; Donglei Du; Naihua Xiu (Inf. Process. Lett., 2012)

Saddle point and exact penalty representation for generalized proximal Lagrangians. - Jinchuan Zhou; Naihua Xiu; Changyu Wang (J. Glob. Optim., 2012)

Existence and Uniqueness of Solutions for Homogeneous Cone Complementarity Problems. - Lingchen Kong; Levent Tunçel; Naihua Xiu (J. Optim. Theory Appl., 2012)

Generic Uniqueness of Solutions for a Class of Vector Ky Fan Inequalities. - Ding-Tao Peng; Jian Yu 004; Nai-Hua Xiu (J. Optim. Theory Appl., 2012)

Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems. - Lingchen Kong; Levent Tunçel; Naihua Xiu (Math. Program., 2012)

Improved Approximation Algorithms for the Facility Location Problems with Linear/submodular Penalty. - Yu Li; Donglei Du; Naihua Xiu; Dachuan Xu (COCOON, 2013)

Exact Low-Rank Matrix Recovery via Nonconvex Schatten P-Minimization. - Lingchen Kong; Naihua Xiu (Asia Pac. J. Oper. Res., 2013)

New RIC Bounds via l_q-minimization with 0<q<=1 in Compressed Sensing. - Shenglong Zhou 001; Lingchen Kong; Ziyan Luo; Naihua Xiu (CoRR, 2013)

Exact Recovery for Sparse Signal via Weighted l_1 Minimization. - Shenglong Zhou 001; Naihua Xiu; Yingnan Wang; Lingchen Kong (CoRR, 2013)

Approximation Algorithms for Integrated Distribution Network Design Problems. - Yu Li; Jia Shu; Xi Wang; Naihua Xiu; Dachuan Xu; Jiawei Zhang 006 (INFORMS J. Comput., 2013)

Generic uniqueness theorems with some applications. - Dingtao Peng; Jian Yu 004; Naihua Xiu (J. Glob. Optim., 2013)

A combinatorial 2.375-approximation algorithm for the facility location problem with submodular penalties. - Yu Li; Donglei Du; Naihua Xiu; Dachuan Xu (Theor. Comput. Sci., 2013)

A Lagrangian Dual Approach to the Single-Source Localization Problem. - Houduo Qi; Naihua Xiu; Xiaoming Yuan 001 (IEEE Trans. Signal Process., 2013)

A unified dual-fitting approximation algorithm for the facility location problems with linear/submodular penalties. - Yu Li; Donglei Du; Naihua Xiu; Dachuan Xu (J. Comb. Optim., 2014)

The Nonnegative Zero-Norm Minimization Under Generalized Z-Matrix Measurement. - Ziyan Luo; Linxia Qin; Lingchen Kong; Naihua Xiu (J. Optim. Theory Appl., 2014)

Minimal Zero Norm Solutions of Linear Complementarity Problems. - Meijuan Shang; Chao Zhang 056; Naihua Xiu (J. Optim. Theory Appl., 2014)

Global solutions of non-Lipschitz $$S_{2}$$ S 2 - $$S_{p}$$ S p minimization over the positive semidefinite cone. - Yongqiang Chen; Naihua Xiu; Dingtao Peng (Optim. Lett., 2014)

A New Active Set Method For Nonnegative Matrix Factorization. - Chao Zhang 056; Liping Jing; Naihua Xiu (SIAM J. Sci. Comput., 2014)

Improved Approximation Algorithms for the Facility Location Problems with Linear/Submodular Penalties. - Yu Li; Donglei Du; Naihua Xiu; Dachuan Xu (Algorithmica, 2015)

Guest Editorial. - Donglei Du; Naihua Xiu; Dachuan Xu (Asia Pac. J. Oper. Res., 2015)

Special issue on "optimization and optimal control with applications" for the 9th international conference on optimization: techniques and applications (9th ICOTA), December 12-16, 2013, Taipei, Taiwan. - Kok Lay Teo; Soon-Yi Wu; Naihua Xiu (J. Glob. Optim., 2015)

Constrained Best Euclidean Distance Embedding on a Sphere: A Matrix Optimization Approach. - Shuanghua Bai; Hou-Duo Qi; Naihua Xiu (SIAM J. Optim., 2015)

The Uniqueness and Greedy Method for Quadratic Compressive Sensing. - Jun Fan; Lingchen Kong; Liqun Wang; Naihua Xiu (DSAA, 2016)

Low-order penalty equations for semidefinite linear complementarity problems. - Chen Zhao; Ziyan Luo; Naihua Xiu (Oper. Res. Lett., 2016)

(S1/2) regularization methods and fixed point algorithms for affine rank minimization problems. - Dingtao Peng; Naihua Xiu; Jian Yu 004 (Comput. Optim. Appl., 2017)

Analysis on Newton projection method for the split feasibility problem. - Biao Qu; Changyu Wang; Naihua Xiu (Comput. Optim. Appl., 2017)

Robust two-stage stochastic linear optimization with risk aversion. - Ai-Fan Ling; Jie Sun 001; Naihua Xiu; Xiaoguang Yang 001 (Eur. J. Oper. Res., 2017)

Restricted Robinson Constraint Qualification and Optimality for Cardinality-Constrained Cone Programming. - Lili Pan 003; Ziyan Luo; Naihua Xiu (J. Optim. Theory Appl., 2017)

The sparsest solutions to Z-tensor complementarity problems. - Ziyan Luo; Liqun Qi 001; Naihua Xiu (Optim. Lett., 2017)

A Fast Matrix Majorization-Projection Method for Penalized Stress Minimization With Box Constraints. - Shenglong Zhou 001; Naihua Xiu; Hou-Duo Qi (IEEE Trans. Signal Process., 2018)

High-Dimensional Least-Squares with Perfect Positive Correlation. - Zhiyong Huang; Ziyan Luo; Naihua Xiu (Asia Pac. J. Oper. Res., 2019)

Preface. - Houduo Qi; Yiju Wang; Naihua Xiu (Asia Pac. J. Oper. Res., 2019)

Single Versus Union: Non-parallel Support Vector Machine Frameworks. - Chun-Na Li 001; Yuan-Hai Shao 001; Huajun Wang; Yu-Ting Zhao; Ling-Wei Huang; Naihua Xiu; Nai-Yang Deng (CoRR, 2019)

Support Vector Machine Classifier via L0/1 Soft-Margin Loss. - Huajun Wang; Yuan-Hai Shao 001; Shenglong Zhou 001; Ce Zhang; Naihua Xiu (CoRR, 2019)

Solving the OSCAR and SLOPE Models Using a Semismooth Newton-Based Augmented Lagrangian Method. - Ziyan Luo; Defeng Sun; Kim-Chuan Toh; Naihua Xiu (J. Mach. Learn. Res., 2019)

Matrix Optimization Over Low-Rank Spectral Sets: Stationary Points and Local and Global Minimizers. - Xinrong Li; Naihua Xiu; Shenglong Zhou 001 (J. Optim. Theory Appl., 2020)

Robust Euclidean embedding via EDM optimization. - Shenglong Zhou 001; Naihua Xiu; Hou-Duo Qi (Math. Program. Comput., 2020)

Greedy Projected Gradient-Newton Method for Sparse Logistic Regression. - Rui Wang 060; Naihua Xiu; Chao Zhang 056 (IEEE Trans. Neural Networks Learn. Syst., 2020)

Subspace quadratic regularization method for group sparse multinomial logistic regression. - Rui Wang 060; Naihua Xiu; Kim-Chuan Toh (Comput. Optim. Appl., 2021)

An extended Newton-type algorithm for ℓ2-regularized sparse logistic regression and its efficiency for classifying large-scale datasets. - Rui Wang 060; Naihua Xiu; Shenglong Zhou 001 (J. Comput. Appl. Math., 2021)

Global and Quadratic Convergence of Newton Hard-Thresholding Pursuit. - Shenglong Zhou 001; Naihua Xiu; Hou-Duo Qi (J. Mach. Learn. Res., 2021)

Newton method for ℓ0-regularized optimization. - Shenglong Zhou 001; Lili Pan 003; Naihua Xiu (Numer. Algorithms, 2021)

Optimality conditions for locally Lipschitz optimization with l0-regularization. - Hui Zhang; Lili Pan 003; Naihua Xiu (Optim. Lett., 2021)

Quadratic Convergence of Smoothing Newton's Method for 0/1 Loss Optimization. - Shenglong Zhou 001; Lili Pan 003; Naihua Xiu; Hou-Duo Qi (SIAM J. Optim., 2021)

0/1 Deep Neural Networks via Block Coordinate Descent. - Hui Zhang; Shenglong Zhou 001; Geoffrey Ye Li; Naihua Xiu (CoRR, 2022)

Optimality Analysis and Block Sparse Algorithm for Complex Compressed Sensing. - Hui Zhang; Xin Liu; Naihua Xiu (CoRR, 2022)

Multinomial logistic regression classifier via lq, 0-proximal Newton algorithm. - Penghe Zhang; Rui Wang 060; Naihua Xiu (Neurocomputing, 2022)

A Lagrange-Newton algorithm for sparse nonlinear programming. - Chen Zhao; Naihua Xiu; Houduo Qi; Ziyan Luo (Math. Program., 2022)

A penalized method of alternating projections for weighted low-rank hankel matrix optimization. - Jian Shen; Jein-Shan Chen; Hou-Duo Qi; Naihua Xiu (Math. Program. Comput., 2022)

Proximal operator and optimality conditions for ramp loss SVM. - Huajun Wang; Yuan-Hai Shao 001; Naihua Xiu (Optim. Lett., 2022)

Support Vector Machine Classifier via $L_{0/1}$L0/1 Soft-Margin Loss. - Huajun Wang; Yuan-Hai Shao 001; Shenglong Zhou 001; Ce Zhang; Naihua Xiu (IEEE Trans. Pattern Anal. Mach. Intell., 2022)

Computing One-Bit Compressive Sensing via Double-Sparsity Constrained Optimization. - Shenglong Zhou 001; Ziyan Luo; Naihua Xiu; Geoffrey Ye Li (IEEE Trans. Signal Process., 2022)

Union nonparallel support vector machines framework with consistency. - Chun-Na Li 001; Yuan-Hai Shao 001; Huajun Wang; Ling-Wei Huang; Yu-Ting Zhao; Naihua Xiu; Nai-Yang Deng (Appl. Soft Comput., 2023)

Recursion Newton-Like Algorithm for l2,0-ReLU Deep Neural Networks. - Hui Zhang; Zhengpeng Yuan; Naihua Xiu (IEEE Trans. Neural Networks Learn. Syst., 2023)

Solution sets of three sparse optimization problems for multivariate regression. - Xiaojun Chen 001; Lili Pan 003; Naihua Xiu (J. Glob. Optim., 2023)

Zero-One Composite Optimization: Lyapunov Exact Penalty and a Globally Convergent Inexact Augmented Lagrangian Method. - Penghe Zhang; Naihua Xiu; Ziyan Luo (Math. Oper. Res., 2024)

Optimality Conditions and Gradient Descent Newton Pursuit for 0/1-Loss and Sparsity Constrained Optimization. - Dongrui Wang; Hui Zhang; Penghe Zhang; Naihua Xiu (Asia Pac. J. Oper. Res., 2024)

A step function based recursion method for 0/1 deep neural networks. - Hui Zhang; Shenglong Zhou 001; Geoffrey Ye Li; Naihua Xiu; Yiju Wang (Appl. Math. Comput., 2025)