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ADAPTIVE LOW-NONNEGATIVE-RANK APPROXIMATION FOR STATE AGGREGATION OF MARKOV CHAINS 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 1, 页码: 244-278
作者:  Duan, Yaqi;  Wang, Mengdi;  Wen, Zaiwen;  Yuan, Yaxiang
收藏  |  浏览/下载:142/0  |  提交时间:2020/09/23
Markov chain  state aggregation  nonnegative matrix factorization  atomic norm  proximal alternating linearized minimization  
A GENERAL TWO-LEVEL SUBSPACE METHOD FOR NONLINEAR OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 6, 页码: 881-902
作者:  Chen, Chong;  Wen, Zaiwen;  Yuan, Yaxiang
收藏  |  浏览/下载:139/0  |  提交时间:2019/03/05
Nonlinear optimization  Convex and nonconvex problems  Subspace technique  Multigrid/multilevel method  Large-scale problems  
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:156/0  |  提交时间:2019/03/05
Riemannian optimization  regularization  trust-region methods  inexactness  
An augmented Lagrangian trust region method for equality constrained optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2015, 卷号: 30, 期号: 3, 页码: 559-582
作者:  Wang, Xiao;  Yuan, Yaxiang
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
equality constraints  augmented Lagrangian function  trust region  Lagrange multiplier  penalty parameter  convergence  
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:113/0  |  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:97/0  |  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:99/0  |  提交时间:2018/07/30
sequential quadratic programming  penalty function  filter  regularity  global and local convergence analysis  
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 125, 期号: 1, 页码: 163-193
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints  
Regularizing active set method for nonnegatively constrained ill-posed multichannel image restoration problem 期刊论文
APPLIED OPTICS, 2009, 卷号: 48, 期号: 7, 页码: 1389-1401
作者:  Wang, Yanfei;  Cao, Jingjie;  Yuan, Yaxiang;  Yang, Changchun;  Xiu, Naihua
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
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
作者:  Liu, Xin;  Yuan, Yaxiang
收藏  |  浏览/下载:106/0  |  提交时间: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