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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Liu, Xin [7]
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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
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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
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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
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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
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View/Download:7/0
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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
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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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Submit date:2018/07/30
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
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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