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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  
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 卷号: 578, 页码: 225-250
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:165/0  |  提交时间:2020/01/10
System of linear equations  Inconsistency  Kaczmarz method  Randomized iteration  Convergence property  
A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 1, 页码: 291-311
作者:  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载:116/0  |  提交时间:2019/10/28
Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method  
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 CONVERGENCE OF A TWO-LEVEL PRECONDITIONED JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMS 期刊论文
MATHEMATICS OF COMPUTATION, 2019, 卷号: 88, 期号: 319, 页码: 2295-2324
作者:  Wang, Wei;  Xu, Xuejun
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
Jacobi-Davidson method  eigenvalue problems  domain decomposition method  
On greedy randomized coordinate descent methods for solving large linear least-squares problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 卷号: 26, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:164/0  |  提交时间:2020/01/10
convergence property  coordinate descent method  linear least-squares problem  randomized iteration  
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:156/0  |  提交时间:2020/01/10
Deferred correction method  Second-order forward backward stochastic differential equations  Euler scheme  High-order rate of convergence  
A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 卷号: 45, 期号: 3, 页码: 1129-1161
作者:  Hu, Qiya;  Hu, Shaoliang
收藏  |  浏览/下载:158/0  |  提交时间:2020/01/10
Domain decomposition  Substructuring preconditioner  Linear elasticity problems  Maxwell's equations  PCG iteration  Convergence rate  
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