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On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载:112/0  |  提交时间:2019/12/13
Matrix splitting  Iteration method  Convergence property  Spatial fractional diffusion equation  
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:169/0  |  提交时间:2018/07/30
System of linear equations  Randomized Kaczmarz method  Convergence rate  
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
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:122/0  |  提交时间:2019/12/13
convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations  
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:115/0  |  提交时间:2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
ON THE NUMERICAL BEHAVIOR OF MATRIX SPLITTING ITERATION METHODS FOR SOLVING LINEAR SYSTEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 4, 页码: 1716-1737
作者:  Bai, Zhong-Zhi;  Rozloznik, Miroslav
收藏  |  浏览/下载:129/0  |  提交时间:2018/07/30
matrix splitting  stationary iteration method  backward error  rounding error analysis  
Modified HSS iteration methods for a class of complex symmetric linear systems 期刊论文
COMPUTING, 2010, 卷号: 87, 期号: 3-4, 页码: 93-111
作者:  Bai, Zhong-Zhi;  Benzi, Michele;  Chen, Fang
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
Complex symmetric matrix  Hermitian and skew-Hermitian splitting  Iteration method  Krylov subspace method  Convergence analysis  Preconditioning  
On semi-convergence of parameterized Uzawa methods for singular saddle point problems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 卷号: 431, 期号: 5-7, 页码: 808-817
作者:  Zheng, Bing;  Bai, Zhong-Zhi;  Yang, Xi
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
Saddle point problem  Singular matrix  Parameterized Uzawa method  Semi-convergence  Optimal iteration parameters  Semi-convergence factor  
Numerical study on incomplete orthogonal factorization preconditioners 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 226, 期号: 1, 页码: 22-41
作者:  Bai, Zhong-Zhi;  Duff, Iain S.;  Yin, Jun-Feng
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
Preconditioning  Givens rotation  Incomplete orthogonal factorization  Nonsymmetric matrix  Normal equations  
The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 2, 页码: 240-249
作者:  Yin, Junfeng;  Bai, Zhongzhi
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
block two-by-two linear system  saddle point problem  restrictively preconditioned conjugate gradient method  normal-residual equation  incomplete orthogonal factorization  
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2007, 卷号: 27, 期号: 1, 页码: 1-23
作者:  Bai, Zhong-Zhi;  Golub, Gene H.
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
saddle-point problem  Hermitian and skew-Hermitian splitting  splitting iteration method  preconditioning