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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:119/0  |  提交时间:2019/12/13
convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations  
On SSOR-like preconditioners for non-Hermitian positive definite matrices 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2016, 卷号: 23, 期号: 1, 页码: 37-60
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:142/0  |  提交时间:2018/07/30
non-Hermitian matrix  positive definiteness  preconditioning  SSOR iteration  eigenvalue distribution  
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:109/0  |  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 NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 2, 页码: 235-260
作者:  Bai, Zhong-Zhi;  Guo, Xue-Ping
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Systems of nonlinear equations  HSS iteration method  Newton method  Local convergence  
Several splittings for non-Hermitian linear systems 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 8, 页码: 1339-1348
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
Hermitian and skew-Hermitian splitting  non-Hermitian linear system  splitting iterative scheme  convergence  
Convergence conditions for splitting iteration methods for non-Hermitian linear systems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 卷号: 428, 期号: 2-3, 页码: 453-468
作者:  Wang, Li;  Bai, Zhong-Zhi
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
non-Hermitian linear systems  splitting iteration method  convergence  
On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 卷号: 428, 期号: 2-3, 页码: 413-440
作者:  Bai, Zhong-Zhi;  Golub, Gene H.;  Ng, Michael K.
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Hermitian matrix  skew-Hermitian matrix  inexact iterations  conjugate gradient (CG) method  Lanczos method  conjugate gradient for normal equations (CGNE) 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:90/0  |  提交时间:2018/07/30
non-Hermitian matrix  normal matrix  Hermitian matrix  skew-Hermitian matrix  splitting iteration method  successive overrelaxation  
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 卷号: 28, 期号: 2, 页码: 583-603
作者:  Bai, Zhong-Zhi;  Golub, Gene H.;  Li, Chi-Kwong
收藏  |  浏览/下载:162/0  |  提交时间:2018/07/30
non-Hermitian matrix  Hermitian matrix  skew-Hermitian matrix  splitting iteration method  optimal iteration parameter  
Block triangular and skew-Hermitian splitting methods for positive-definite linear systems 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 卷号: 26, 期号: 3, 页码: 844-863
作者:  Bai, ZZ;  Golub, GH;  Lu, LZ;  Yin, JF
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
non-Hermitian matrix  positive-definite matrix  triangular matrix  block triangular matrix  Hermitian and skew-Hermitian splitting  splitting iteration method