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STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: A2239-A2269
作者:  Hu, Jiang;  Jiang, Bo;  Lin, Lin;  Wen, Zaiwen;  Yuan, Ya-Xiang
收藏  |  浏览/下载:159/0  |  提交时间:2020/01/10
optimization with orthogonality constraints  structured quasi-Newton method  limited-memory Nystrom approximation  Hartree-Fock total energy minimization  
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
作者:  Gao, Bin;  Liu, Xin;  Chen, Xiaojun;  Yuan, Ya-Xiang
收藏  |  浏览/下载:168/0  |  提交时间:2018/07/30
orthogonality constraint  Stiefel manifold  Householder transformation  gradient projection  block coordinate descent  
ADAPTIVE QUADRATICALLY REGULARIZED NEWTON METHOD FOR RIEMANNIAN OPTIMIZATION 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 卷号: 39, 期号: 3, 页码: 1181-1207
作者:  Hu, Jiang;  Milzarek, Andre;  Wen, Zaiwen;  Yuan, Yaxiang
收藏  |  浏览/下载:168/0  |  提交时间:2019/03/05
Riemannian optimization  regularization  trust-region methods  inexactness  
A SEMISMOOTH NEWTON METHOD FOR SEMIDEFINITE PROGRAMS AND ITS APPLICATIONS IN ELECTRONIC STRUCTURE CALCULATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 6, 页码: A4131-A4157
作者:  Li, Yongfeng;  Wen, Zaiwen;  Yang, Chao;  Yuan, Ya-Xiang
收藏  |  浏览/下载:148/0  |  提交时间:2019/03/05
semidefinite programming  ADMM  semismooth Newton method  electronic structure calculation  two-body reduced density matrix  
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
作者:  Liu, Xin;  Wen, Zaiwen;  Wang, Xiao;  Ulbrich, Michael;  Yuan, Yaxiang
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Kohn-Sham total energy minimization  Kohn-Sham equation  self-consistent field iteration  nonlinear eigenvalue problem  
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
作者:  Wang, Shuxiong;  Yuan, Yaxiang
收藏  |  浏览/下载:104/0  |  提交时间: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
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载:105/0  |  提交时间: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
作者:  Lu, Ye;  Yuan, Ya-Xiang
收藏  |  浏览/下载:132/0  |  提交时间: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
作者:  Dai, YH;  Han, JY;  Liu, GH;  Sun, DF;  Yin, HX;  Yuan, YX
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
conjugate gradient method  descent condition  global convergence