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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:36/0  |  Submit date:2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
A NEW FIRST-ORDER ALGORITHMIC FRAMEWORK FOR OPTIMIZATION PROBLEMS WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2018, 卷号: 28, 期号: 1, 页码: 302-332
Authors:  Gao, Bin;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-Xiang
Favorite  |  View/Download:72/0  |  Submit date:2018/07/30
orthogonality constraint  Stiefel manifold  Householder transformation  gradient projection  block coordinate descent  
FEASIBLE METHOD FOR SEMI-INFINITE PROGRAMS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2015, 卷号: 25, 期号: 4, 页码: 2537-2560
Authors:  Wang, Shuxiong;  Yuan, Yaxiang
Favorite  |  View/Download:33/0  |  Submit date:2018/07/30
semi-infinite programs  concave optimization  adaptive subdivision algorithm  
A SEQUENTIAL QUADRATIC PROGRAMMING METHOD WITHOUT A PENALTY FUNCTION OR A FILTER FOR NONLINEAR EQUALITY CONSTRAINED OPTIMIZATION 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2011, 卷号: 21, 期号: 2, 页码: 545-571
Authors:  Liu, Xinwei;  Yuan, Yaxiang
Favorite  |  View/Download:46/0  |  Submit date:2018/07/30
sequential quadratic programming  penalty function  filter  regularity  global and local convergence analysis  
An interior-point trust-region algorithm for general symmetric cone programming 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2007, 卷号: 18, 期号: 1, 页码: 65-86
Authors:  Lu, Ye;  Yuan, Ya-Xiang
Favorite  |  View/Download:47/0  |  Submit date:2018/07/30
interior  point algorithm  trust-region subproblem  symmetric cone  
Convergence properties of nonlinear conjugate gradient methods 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2000, 卷号: 10, 期号: 2, 页码: 345-358
Authors:  Dai, YH;  Han, JY;  Liu, GH;  Sun, DF;  Yin, HX;  Yuan, YX
Favorite  |  View/Download:50/0  |  Submit date:2018/07/30
conjugate gradient method  descent condition  global convergence