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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:164/0  |  提交时间:2020/01/10
System of linear equations  Inconsistency  Kaczmarz method  Randomized iteration  Convergence property  
On convergence rate of the randomized Kaczmarz method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 553, 页码: 252-269
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:157/0  |  提交时间:2018/07/30
System of linear equations  Randomized Kaczmarz method  Convergence rate  
ON GREEDY RANDOMIZED KACZMARZ METHOD FOR SOLVING LARGE SPARSE LINEAR SYSTEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 1, 页码: A592-A606
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:172/0  |  提交时间:2018/07/30
system of linear equations  Kaczmarz method  randomized iteration  convergence property  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
收藏  |  浏览/下载:153/0  |  提交时间:2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
On local quadratic convergence of inexact simplified Jacobi-Davidson method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 520, 页码: 215-241
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
On convergence conditions of waveform relaxation methods for linear differential-algebraic equations 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 235, 期号: 8, 页码: 2790-2804
作者:  Bai, Zhong-Zhi;  Yang, Xi
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
Differential-algebraic equations  Laplace transform  Waveform relaxation method  Convergence theory  
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems 期刊论文
COMPUTING, 2010, 卷号: 89, 期号: 3-4, 页码: 171-197
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Singular linear system  Non-Hermitian matrix  Positive semidefinite matrix  Hermitian and skew-Hermitian splitting  Splitting iteration method  Semi-convergence  Preconditioning matrix  Krylov subspace method  
On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2007, 卷号: 14, 期号: 4, 页码: 319-335
作者:  Bai, Zhong-Zhi;  Golub, Gene H.;  Ng, Michael K.
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
non-Hermitian matrix  normal matrix  Hermitian matrix  skew-Hermitian matrix  splitting iteration method  successive overrelaxation  
On generalized successive overrelaxation methods for augmented linear systems 期刊论文
NUMERISCHE MATHEMATIK, 2005, 卷号: 102, 期号: 1, 页码: 1-38
作者:  Bai, ZZ;  Parlett, BN;  Wang, ZQ
收藏  |  浏览/下载:192/0  |  提交时间:2018/07/30
Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems 期刊论文
NUMERISCHE MATHEMATIK, 2004, 卷号: 98, 期号: 1, 页码: 1-32
作者:  Bai, ZZ;  Golub, GH;  Pan, JY
收藏  |  浏览/下载:82/0  |  提交时间:2018/07/30