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A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 21
Authors:  Liang, Qigang;  Xu, Xuejun;  Yuan, Liuyao
Favorite  |  View/Download：6/0  |  Submit date：2023/02/07
Eigenvalue problems  Upper and lower bound  Weak Galerkin method  High accuracy  
EXACT PENALTY FUNCTION FOR \ell2,1 NORM MINIMIZATION OVER THE STIEFEL MANIFOLD 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3097-3126
Authors:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
Favorite  |  View/Download：63/0  |  Submit date：2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
A class of smooth exact penalty function methods for optimization problems with orthogonality constraints 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 37
Authors:  Xiao, Nachuan;  Liu, Xin;  Yuan, Ya-xiang
Favorite  |  View/Download：94/0  |  Submit date：2021/01/14
Orthogonality constraint  Stiefel manifold  augmented Lagrangian method  
An Efficient Orthonormalization-Free Approach for Sparse Dictionary Learning and Dual Principal Component Pursuit 期刊论文
SENSORS, 2020, 卷号: 20, 期号: 11, 页码: 25
Authors:  Hu, Xiaoyin;  Liu, Xin
Favorite  |  View/Download：101/0  |  Submit date：2020/09/23
dual principal component pursuit  orthogonality constraint  sparse dictionary learning  stiefel manifold  
An exact penalty method for semidefinite-box-constrained low-rank matrix optimization problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 563-586
Authors:  Liu, Tianxiang;  Lu, Zhaosong;  Chen, Xiaojun;  Dai, Yu-Hong
Favorite  |  View/Download：70/0  |  Submit date：2020/09/23
rank constrained optimization  non-Lipschitz penalty  nonmonotone proximal gradient  penalty method  
Adaptive Exact Penalty Design for Constrained Distributed Optimization 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 卷号: 64, 期号: 11, 页码: 4661-4667
Authors:  Zhou, Hongbing;  Zeng, Xianlin;  Hong, Yiguang
Favorite  |  View/Download：78/0  |  Submit date：2020/05/24
Optimization  Distributed algorithms  Linear programming  Convex functions  Adaptive control  Convergence  Adaptive algorithms  Adaptive algorithm  convex and nondifferentiable function  distributed optimization  exact penalty method  
A subspace SQP method for equality constrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 177-194
Authors:  Lee, Jae Hwa;  Jung, Yoon Mo;  Yuan, Ya-xiang;  Yun, Sangwoon
Favorite  |  View/Download：93/0  |  Submit date：2020/01/10
Equality constrained optimization  SQP method  Large scale problems  Subspace techniques  Damped limited-memory BFGS update  
PENALTY METHODS WITH STOCHASTIC APPROXIMATION FOR STOCHASTIC NONLINEAR PROGRAMMING 期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 306, 页码: 1793-1820
Authors:  Wang, Xiao;  Ma, Shiqian;  Yuan, Ya-Xiang
Favorite  |  View/Download：76/0  |  Submit date：2018/07/30
Stochastic programming  nonlinear programming  stochastic approximation  penalty method  global complexity bound  
A line search exact penalty method with bi-object strategy for nonlinear constrained optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 245-258
Authors:  Chen, Zhongwen;  Dai, Yu-Hong
Favorite  |  View/Download：65/0  |  Submit date：2018/07/30
Nonlinear constrained optimization  Exact penalty methods  Bi-object strategy  Global convergence  
Global convergence of a trust region algorithm for nonlinear inequality constrained optimization problems 期刊论文
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2004, 卷号: 25, 期号: 5-6, 页码: 571-592
Authors:  Yin, HX;  Han, JY;  Chen, ZW
Favorite  |  View/Download：68/0  |  Submit date：2018/07/30
nonlinear optimization  trust region method  inequality constraints  global convergence