An only 2-step Q-superlinear convergence example for some algorithms that use reduced hessian approximations. - Ya-Xiang Yuan (Math. Program., 1985)

Conditions for convergence of trust region algorithms for nonsmooth optimization. - Ya-Xiang Yuan (Math. Program., 1985)

On the superlinear convergence of a trust region algorithm for nonsmooth optimization. - Ya-Xiang Yuan (Math. Program., 1985)

A recursive quadratic programming algorithm that uses differentiable exact penalty functions. - M. J. D. Powell; Ya-Xiang Yuan (Math. Program., 1986)

On a Subproblem of Trust Region Algorithms for Constrained Optimization. - Ya-Xiang Yuan (Math. Program., 1990)

A trust region algorithm for equality constrained optimization. - M. J. D. Powell; Ya-Xiang Yuan (Math. Program., 1991)

Analysis of a self-scaling quasi-Newton method. - Jorge Nocedal; Ya-Xiang Yuan (Math. Program., 1993)

A subspace limited memory quasi-Newton algorithm for large-scale nonlinear bound constrained optimization. - Q. Ni; Ya-Xiang Yuan (Math. Comput., 1997)

Optimality Conditions for the Minimization of a Quadratic with Two Quadratic Constraints. - Ji-Ming Peng; Ya-Xiang Yuan (SIAM J. Optim., 1997)

A note on quadratic forms. - Xin Chen; Ya-Xiang Yuan (Math. Program., 1999)

Global convergence of the method of shortest residuals. - Yu-Hong Dai; Ya-Xiang Yuan (Numerische Mathematik, 1999)

A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property. - Y. H. Dai; Ya-Xiang Yuan (SIAM J. Optim., 1999)

On the truncated conjugate gradient method. - Ya-Xiang Yuan (Math. Program., 2000)

On Local Solutions of the Celis–Dennis–Tapia Subproblem. - Xiongda Chen; Ya-Xiang Yuan (SIAM J. Optim., 2000)

Convergence Properties of Nonlinear Conjugate Gradient Methods. - Yu-Hong Dai; Jiye Han; Guanghui Liu; Defeng Sun; Hongxia Yin; Ya-Xiang Yuan (SIAM J. Optim., 2000)

A Robust Algorithm for Optimization with General Equality and Inequality Constraints. - Xinwei Liu; Yaxiang Yuan (SIAM J. Sci. Comput., 2000)

An Efficient Hybrid Conjugate Gradient Method for Unconstrained Optimization. - Y. H. Dai; Ya-Xiang Yuan (Ann. Oper. Res., 2001)

A Predictor-Corrector Algorithm for QSDP Combining Dikin-Type and Newton Centering Steps. - Jiawang Nie; Ya-Xiang Yuan (Ann. Oper. Res., 2001)

A Conic Trust-Region Method for Nonlinearly Constrained Optimization. - Wenyu Sun; Ya-Xiang Yuan (Ann. Oper. Res., 2001)

A three-parameter family of nonlinear conjugate gradient methods. - Yu-Hong Dai; Ya-Xiang Yuan (Math. Comput., 2001)

Modified Two-Point Stepsize Gradient Methods for Unconstrained Optimization. - Yu-Hong Dai; Jin Yun Yuan; Ya-Xiang Yuan (Comput. Optim. Appl., 2002)

Foreword. - Masao Fukushima; Ya-Xiang Yuan (Optim. Methods Softw., 2003)

On the Quadratic Convergence of the Levenberg-Marquardt Method without Nonsingularity Assumption. - Jinyan Fan; Ya-Xiang Yuan (Computing, 2005)

A subspace implementation of quasi-Newton trust region methods for unconstrained optimization. - Zhouhong Wang; Ya-Xiang Yuan (Numerische Mathematik, 2006)

A new linearization method for quadratic assignment problems. - Yong Xia; Ya-Xiang Yuan (Optim. Methods Softw., 2006)

An Interior-Point Trust-Region Algorithm for General Symmetric Cone Programming. - Ye Lu 001; Ya-Xiang Yuan (SIAM J. Optim., 2007)

Rigid versus unique determination of protein structures with geometric buildup. - Di Wu; Zhijun Wu; Yaxiang Yuan (Optim. Lett., 2008)

An interior-point trust-region polynomial algorithm for convex quadratic minimization subject to general convex constraints. - Ye Lu 001; Ya-Xiang Yuan (Optim. Methods Softw., 2008)

Preface. - Philippe L. Toint; Ya-Xiang Yuan (Optim. Methods Softw., 2008)

A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties. - Xinwei Liu; Yaxiang Yuan (Math. Program., 2010)

A short note on the Q-linear convergence of the steepest descent method. - Ya-Xiang Yuan (Math. Program., 2010)

Modeling and Algorithms of GPS Data Reduction for the Qinghai-Tibet Railway. - Dewang Chen; Yun-Shan Fu; Baigen Cai; Ya-Xiang Yuan (IEEE Trans. Intell. Transp. Syst., 2010)

Fast algorithm for beamforming problems in distributed communication of relay networks. - Cong Sun 002; Yaxiang Yuan (ICASSP, 2011)

A parallel decomposition algorithm for training multiclass kernel-based vector machines. - Lingfeng Niu; Yaxiang Yuan (Optim. Methods Softw., 2011)

A Sequential Quadratic Programming Method Without A Penalty Function or a Filter for Nonlinear Equality Constrained Optimization. - Xinwei Liu; Yaxiang Yuan (SIAM J. Optim., 2011)

Low complexity interference alignment algorithms for desired signal power maximization problem of MIMO channels. - Cong Sun 002; Yunchuan Yang; Yaxiang Yuan (EURASIP J. Adv. Signal Process., 2012)

Stability and Allocation in a Three-Player Game. - Leqin Wu; Xin Chen; Ye Lu 001; Ya-Xiang Yuan (Asia Pac. J. Oper. Res., 2013)

Foreword: Special issue on the 8th International Conference on Optimization: Techniques and Applications. - Jie Sun 001; Xiaoling Sun 001; Ya-Xiang Yuan (Optim. Methods Softw., 2013)

A trust region method based on a new affine scaling technique for simple bounded optimization. - Xiao Wang; Ya-Xiang Yuan (Optim. Methods Softw., 2013)

Optimality Conditions and a Smoothing Trust Region Newton Method for NonLipschitz Optimization. - Xiaojun Chen 001; Lingfeng Niu; Yaxiang Yuan (SIAM J. Optim., 2013)

A regularized Newton method for monotone nonlinear equations and its application. - Jinyan Fan; Yaxiang Yuan (Optim. Methods Softw., 2014)

Foreword. - Xiaoling Sun 001; Ya-Xiang Yuan (Optim. Methods Softw., 2014)

On the Convergence of the Self-Consistent Field Iteration in Kohn-Sham Density Functional Theory. - Xin Liu 001; Xiao Wang; Zaiwen Wen; Ya-Xiang Yuan (SIAM J. Matrix Anal. Appl., 2014)

On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization. - Geovani Nunes Grapiglia; Jin Yun Yuan; Ya-Xiang Yuan (Math. Program., 2015)

Recent advances in trust region algorithms. - Ya-Xiang Yuan (Math. Program., 2015)

Obituary for Mike Powell. - Coralia Cartis; Andreas Griewank; Philippe L. Toint; Ya-Xiang Yuan (Optim. Methods Softw., 2015)

An augmented Lagrangian trust region method for equality constrained optimization. - Xiao Wang; Yaxiang Yuan (Optim. Methods Softw., 2015)

Feasible Method for Semi-Infinite Programs. - Shuxiong Wang; Yaxiang Yuan (SIAM J. Optim., 2015)

On the Analysis of the Discretized Kohn-Sham Density Functional Theory. - Xin Liu 001; Zaiwen Wen; Xiao Wang; Michael Ulbrich; Yaxiang Yuan (SIAM J. Numer. Anal., 2015)

Nonlinear Stepsize Control Algorithms: Complexity Bounds for First- and Second-Order Optimality. - Geovani Nunes Grapiglia; Jin Yun Yuan; Ya-Xiang Yuan (J. Optim. Theory Appl., 2016)

On the worst-case complexity of nonlinear stepsize control algorithms for convex unconstrained optimization. - Geovani Nunes Grapiglia; Jin Yun Yuan; Ya-Xiang Yuan (Optim. Methods Softw., 2016)

Sum Rate Maximization for Non-Regenerative MIMO Relay Networks. - Cong Sun 002; Eduard Axel Jorswieck; Ya-Xiang Yuan (IEEE Trans. Signal Process., 2016)

Penalty methods with stochastic approximation for stochastic nonlinear programming. - Xiao Wang; Shiqian Ma; Ya-Xiang Yuan (Math. Comput., 2017)

On efficiently combining limited-memory and trust-region techniques. - Oleg Burdakov; Lujin Gong; Spartak Zikrin; Ya-Xiang Yuan (Math. Program. Comput., 2017)

Theory and application of p-regularized subproblems for p>2. - Yong Hsia; Ruey-Lin Sheu; Ya-Xiang Yuan (Optim. Methods Softw., 2017)

A New First-Order Algorithmic Framework for Optimization Problems with Orthogonality Constraints. - Bin Gao 007; Xin Liu 001; Xiaojun Chen 001; Ya-Xiang Yuan (SIAM J. Optim., 2018)

Adaptive Quadratically Regularized Newton Method for Riemannian Optimization. - Jiang Hu; Andre Milzarek; Zaiwen Wen; Yaxiang Yuan (SIAM J. Matrix Anal. Appl., 2018)

A SemiSmooth Newton Method for Semidefinite Programs and its Applications in Electronic Structure Calculations. - Yongfeng Li; Zaiwen Wen; Chao Yang; Ya-Xiang Yuan (SIAM J. Sci. Comput., 2018)

A subspace SQP method for equality constrained optimization. - Jae Hwa Lee; Yoon Mo Jung; Ya-Xiang Yuan; Sangwoon Yun (Comput. Optim. Appl., 2019)

Stochastic proximal quasi-Newton methods for non-convex composite optimization. - Xiaoyu Wang 008; Xiao Wang; Ya-Xiang Yuan (Optim. Methods Softw., 2019)

Parallelizable Algorithms for Optimization Problems with Orthogonality Constraints. - Bin Gao 007; Xin Liu 001; Ya-Xiang Yuan (SIAM J. Sci. Comput., 2019)

Structured Quasi-Newton Methods for Optimization with Orthogonality Constraints. - Jiang Hu; Bo Jiang 010; Lin Lin 001; Zaiwen Wen; Ya-Xiang Yuan (SIAM J. Sci. Comput., 2019)

Adaptive Low-Nonnegative-Rank Approximation for State Aggregation of Markov Chains. - Yaqi Duan; Mengdi Wang; Zaiwen Wen; Yaxiang Yuan (SIAM J. Matrix Anal. Appl., 2020)

Low-Rank Matrix Iteration Using Polynomial-Filtered Subspace Extraction. - Yongfeng Li; Haoyang Liu; Zaiwen Wen; Ya-Xiang Yuan (SIAM J. Sci. Comput., 2020)

Exact Penalty Function for ℓ2, 1 Norm Minimization over the Stiefel Manifold. - Nachuan Xiao; Xin Liu 001; Ya-Xiang Yuan (SIAM J. Optim., 2021)

Gradient Norm Minimization of Nesterov Acceleration: o(1/k3). - Shuo Chen; Bin Shi; Ya-Xiang Yuan (CoRR, 2022)

Some Sharp Error Bounds for Multivariate Linear Interpolation and Extrapolation. - Liyuan Cao; Zaiwen Wen; Ya-Xiang Yuan (CoRR, 2022)

Proximal Subgradient Norm Minimization of ISTA and FISTA. - Bowen Li; Bin Shi; Ya-Xiang Yuan (CoRR, 2022)

Revisiting the acceleration phenomenon via high-resolution differential equations. - Shuo Chen; Bin Shi; Ya-Xiang Yuan (CoRR, 2022)

Linear Convergence of ISTA and FISTA. - Bowen Li; Bin Shi; Ya-Xiang Yuan (CoRR, 2022)

A class of smooth exact penalty function methods for optimization problems with orthogonality constraints. - Nachuan Xiao; Xin Liu 001; Ya-Xiang Yuan (Optim. Methods Softw., 2022)

On Underdamped Nesterov's Acceleration. - Shuo Chen; Bin Shi; Ya-Xiang Yuan (CoRR, 2023)

Optimization on product manifolds under a preconditioned metric. - Bin Gao 007; Renfeng Peng; Ya-Xiang Yuan (CoRR, 2023)

Linear convergence of Nesterov-1983 with the strong convexity. - Bowen Li; Bin Shi; Ya-Xiang Yuan (CoRR, 2023)

Low-rank optimization on Tucker tensor varieties. - Bin Gao 007; Renfeng Peng; Ya-Xiang Yuan (CoRR, 2023)

On the Convergence of Stochastic Gradient Descent with Bandwidth-based Step Size. - Xiaoyu Wang 008; Yaxiang Yuan (J. Mach. Learn. Res., 2023)

Homogenization for polynomial optimization with unbounded sets. - Lei Huang; Jiawang Nie; Ya-Xiang Yuan (Math. Program., 2023)

Generalized Truncated Moment Problems with Unbounded Sets. - Lei Huang; Jiawang Nie; Ya-Xiang Yuan (J. Sci. Comput., 2023)

Desingularization of bounded-rank tensor sets. - Bin Gao 007; Renfeng Peng; Yaxiang Yuan (CoRR, 2024)

Preface for the special edition of optimization methods and software. - Serge Gratton; Philippe L. Toint; Jacek Gondzio; Yurii E. Nesterov; Yaxiang Yuan (Optim. Methods Softw., 2024)

Finite Convergence of Moment-SOS Relaxations with Nonreal Radical Ideals. - Lei Huang; Jiawang Nie; Ya-Xiang Yuan (SIAM J. Optim., 2024)

A Penalty-Free Infeasible Approach for a Class of Nonsmooth Optimization Problems Over the Stiefel Manifold. - Xin Liu 001; Nachuan Xiao; Yaxiang Yuan (J. Sci. Comput., 2024)

Riemannian preconditioned algorithms for tensor completion via tensor ring decomposition. - Bin Gao 007; Renfeng Peng; Yaxiang Yuan (Comput. Optim. Appl., 2024)

First-order methods on bounded-rank tensors converging to stationary points. - Bin Gao 007; Renfeng Peng; Yaxiang Yuan (CoRR, 2025)

Adaptive cyclic gradient methods with interpolation. - Yixin Xie; Cong Sun 002; Ya-Xiang Yuan (Comput. Optim. Appl., 2025)