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AN ALTERNATING MINIMIZATION METHOD FOR MATRIX COMPLETION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 卷号: 13, 期号: 6, 页码: 1757-1772
Authors:  Shen, Yuan;  Liu, Xin
Favorite  |  View/Download:7/0  |  Submit date:2020/05/24
Matrix completion  symmetric low rank product minimization  singular value decomposition  alternating minimization  
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
Authors:  Duan, Yaqi;  Wang, Mengdi;  Wen, Zaiwen;  Yuan, Yaxiang
Favorite  |  View/Download:0/0  |  Submit date:2020/09/23
Markov chain  state aggregation  nonnegative matrix factorization  atomic norm  proximal alternating linearized minimization  
SOLVING SYSTEMS OF QUADRATIC EQUATIONS VIA EXPONENTIAL-TYPE GRADIENT DESCENT ALGORITHM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 4, 页码: 638-660
Authors:  Huang, Meng;  Xu, Zhiqiang
Favorite  |  View/Download:4/0  |  Submit date:2020/05/24
Low-rank matrix recovery  Non-convex optimization  Phase retrieval  
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:18/0  |  Submit date:2019/03/05
Low rank factorization  Nonconvex optimization  Second-order optimality condition  Global minimizer  
snigpropertyofmatrixlowrankfactorizationmodel 期刊论文
journalofcomputationalmathematics, 2018, 卷号: 36, 期号: 3, 页码: 374
Authors:  Wang Hong;  Liu Xin;  Chen Xiaojun;  Yuan Yaxiang
Favorite  |  View/Download:8/0  |  Submit date:2020/01/10
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
Authors:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
View  |  Adobe PDF(475Kb)  |  Favorite  |  View/Download:53/6  |  Submit date:2018/07/30
Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Low Rank Prior and Total Variation Regularization for Image Deblurring 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 70, 期号: 3, 页码: 1336-1357
Authors:  Ma, Liyan;  Xu, Li;  Zeng, Tieyong
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Image deblurring  Low rank  Nuclear norm  Variational method  
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:9/0  |  Submit date:2018/07/30
Eigenvalue computation  Exact quadratic penalty approach  Gradient methods  
An iterative algorithm for third-order tensor multi-rank minimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2016, 卷号: 63, 期号: 1, 页码: 169-202
Authors:  Yang, Lei;  Huang, Zheng-Hai;  Hu, Shenglong;  Han, Jiye
Favorite  |  View/Download:2/0  |  Submit date:2018/07/30
Third-order tensor multi-rank minimization  Tensor completion  Matrix rank minimization  Operator splitting  Convex relaxation  
A framework of constraint preserving update schemes for optimization on Stiefel manifold 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 153, 期号: 2, 页码: 535-575
Authors:  Jiang, Bo;  Dai, Yu-Hong
Favorite  |  View/Download:7/0  |  Submit date:2018/07/30
Stiefel manifold  Orthogonality constraint  Sphere constraint  Range space  Null space  Barzilai-Borwein-like method  Feasible  Adaptive nonmonotone line search  Low-rank correlation matrix  Kohn-Sham total energy minimization  Heterogeneous quadratic functions