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LOW-RANK MATRIX ITERATION USING POLYNOMIAL-FILTERED SUBSPACE EXTRACTION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 3, 页码: A1686-A1713
Authors:  Li, Yongfeng;  Liu, Haoyang;  Wen, Zaiwen;  Yuan, Ya-Xiang
Favorite  |  View/Download:5/0  |  Submit date:2020/09/23
low-rank matrix iteration  eigenvalue decomposition  inexact optimization method  polynomial filter  subspace extraction  
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
Authors:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
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Hermitian eigenproblem  Krylov subspace method  Inexact iteration  Convergence property  
Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
Authors:  Bai, Zhong-Zhi
Favorite  |  View/Download:13/0  |  Submit date:2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
Uzawa methods for a class of block three-by-three saddle-point problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 页码: 26
Authors:  Huang, Na;  Dai, Yu-Hong;  Hu, QiYa
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inexact Uzawa method  saddle-point problem  Uzawa method  
On the Nonergodic Convergence Rate of an Inexact Augmented Lagrangian Framework for Composite Convex Programming 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2019, 卷号: 44, 期号: 2, 页码: 632-650
Authors:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
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inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 77, 期号: 9, 页码: 2396-2406
Authors:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
Favorite  |  View/Download:12/0  |  Submit date:2020/01/10
Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
On inexact ADMMs with relative error criteria 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2018, 卷号: 71, 期号: 3, 页码: 743-765
Authors:  Xie, Jiaxin
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Alternating direction method of multipliers (ADMM)  Inexactness  Relative error criteria  Large step-length  
The preconditioned iterative methods with variable parameters for saddle point problem 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 334, 页码: 152-167
Authors:  Huang, Na;  Ma, Chang-Feng
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Saddle point problem  Preconditioned iterative method  Variable parameters  Optimal parameter  Convergence  
Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 4, 页码: 19
Authors:  Bai, Zhong-Zhi
Favorite  |  View/Download:9/0  |  Submit date:2019/12/13
convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations  
Inexact proximal stochastic gradient method for convex composite optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2017, 卷号: 68, 期号: 3, 页码: 579-618
Authors:  Wang, Xiao;  Wang, Shuxiong;  Zhang, Hongchao
Favorite  |  View/Download:11/0  |  Submit date:2018/07/30
Convex composite optimization  Empirical risk minimization  Stochastic gradient  Inexact methods  Global convergence  Complexity bound