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CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载:138/0  |  提交时间:2022/04/29
multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
\daggerCorresponding author. (xuxuefeng@lsec.cc.ac.cn). \ddagger, and (zhangcs@lsec.cc.ac.cn). 512 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022, 卷号: 43, 期号: 1, 页码: 512-533
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载:54/0  |  提交时间:2023/02/07
multigrid  inexact two-grid methods  convergence factor  two-sided bounds  
Variational inequality transport model on the sphere by the active-set reduced-space algorithm 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2021, 卷号: 260, 页码: 10
作者:  Yang, Haijian;  Yang, Chao;  Huang, Jizu
收藏  |  浏览/下载:126/0  |  提交时间:2021/04/26
Transport problem on the sphere  Variational inequality  Parallel computing  Fully implicit scheme  Active-set reduced-space method  
EXACT PENALTY FUNCTION FOR \ell2,1 NORM MINIMIZATION OVER THE STIEFEL MANIFOLD 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3097-3126
作者:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
收藏  |  浏览/下载:104/0  |  提交时间:2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
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
作者:  Li, Yongfeng;  Liu, Haoyang;  Wen, Zaiwen;  Yuan, Ya-Xiang
收藏  |  浏览/下载:144/0  |  提交时间: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
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载:126/0  |  提交时间:2020/05/24
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
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:181/0  |  提交时间: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
作者:  Huang, Na;  Dai, Yu-Hong;  Hu, QiYa
收藏  |  浏览/下载:179/0  |  提交时间:2020/01/10
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
作者:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
收藏  |  浏览/下载:175/0  |  提交时间:2020/01/10
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
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
收藏  |  浏览/下载:160/0  |  提交时间:2020/01/10
Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning