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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：183/0  |  提交时间：2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
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：164/0  |  提交时间：2020/01/10
Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
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：116/0  |  提交时间：2019/12/13
convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations  
Regularized HSS iteration methods for saddle-point linear systems 期刊论文
BIT NUMERICAL MATHEMATICS, 2017, 卷号: 57, 期号: 2, 页码: 287-311
作者:  Bai, Zhong-Zhi;  Benzi, Michele
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
Saddle-point linear system  Hermitian and skew-Hermitian splitting  Iterative methods  Inexact implementation  Preconditioning  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：121/0  |  提交时间：2018/07/30
matrix splitting  stationary iteration method  backward error  rounding error analysis  
On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 325-341
作者:  Gao, Yong-Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
non-symmetric algebraic Riccati equation  M-matrix  Newton iteration method  doubling iteration scheme  inexact iteration  convergence  
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：110/0  |  提交时间：2018/07/30
Systems of nonlinear equations  HSS iteration method  Newton method  Local convergence  
On parameterized inexact Uzawa methods for generalized saddle point problems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 卷号: 428, 期号: 11-12, 页码: 2900-2932
作者:  Bai, Zhong-Zhi;  Wang, Zeng-Qi
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
generalized saddle point problem  parameterized inexact Uzawa method  acceleration technique  convergence  quasi-optimal relaxation parameter  quasi-optimal convergence factor  
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：104/0  |  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：99/0  |  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