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Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights 期刊论文
MATHEMATICAL PROGRAMMING, 2019, 卷号: 173, 期号: 1-2, 页码: 37-77
Authors:  Chen, Caihua;  Li, Min;  Liu, Xin;  Ye, Yinyu
Favorite  |  View/Download:4/0  |  Submit date:2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
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:7/0  |  Submit date:2018/07/30
orthogonality constraint  Stiefel manifold  Householder transformation  gradient projection  block coordinate descent  
SNIG PROPERTY OF MATRIX LOW-RANK FACTORIZATION MODEL 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 374-390
Authors:  Wang, Hong;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-xiang
Favorite  |  View/Download:4/0  |  Submit date:2019/03/05
Low rank factorization  Nonconvex optimization  Second-order optimality condition  Global minimizer  
Trace-Penalty Minimization for Large-Scale Eigenspace Computation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 3, 页码: 1175-1203
Authors:  Wen, Zaiwen;  Yang, Chao;  Liu, Xin;  Zhang, Yin
Favorite  |  View/Download:7/0  |  Submit date:2018/07/30
Eigenvalue computation  Exact quadratic penalty approach  Gradient methods  
ON THE ANALYSIS OF THE DISCRETIZED KOHN-SHAM DENSITY FUNCTIONAL THEORY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 4, 页码: 1758-1785
Authors:  Liu, Xin;  Wen, Zaiwen;  Wang, Xiao;  Ulbrich, Michael;  Yuan, Yaxiang
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
Kohn-Sham total energy minimization  Kohn-Sham equation  self-consistent field iteration  nonlinear eigenvalue problem  
AN EFFICIENT GAUSS-NEWTON ALGORITHM FOR SYMMETRIC LOW-RANK PRODUCT MATRIX APPROXIMATIONS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2015, 卷号: 25, 期号: 3, 页码: 1571-1608
Authors:  Liu, Xin;  Wen, Zaiwen;  Zhang, Yin
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eigenvalue decomposition  singular value decomposition  low-rank product matrix approximation  Gauss-Newton methods  
On the separable nonlinear least squares problems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 3, 页码: 390-403
Authors:  Liu, Xin;  Yuan, Yaxiang
Favorite  |  View/Download:7/0  |  Submit date:2018/07/30
separable nonlinear least squares problem  variable projection method  Gauss-Newton method  Levenberg-Marquardt method  trust region method  asymptotical convergence rate  data fitting