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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：121/0  |  提交时间：2019/12/13
convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations  
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：165/0  |  提交时间：2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
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：140/0  |  提交时间：2018/07/30
Saddle-point linear system  Hermitian and skew-Hermitian splitting  Iterative methods  Inexact implementation  Preconditioning  Convergence  
On preconditioned MHSS iteration methods for complex symmetric linear systems 期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 56, 期号: 2, 页码: 297-317
作者:  Bai, Zhong-Zhi;  Benzi, Michele;  Chen, Fang
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Complex symmetric linear system  MHSS iteration  Preconditioning  Convergence theory  Spectral properties  
Modified incomplete orthogonal factorization methods using Givens rotations 期刊论文
COMPUTING, 2009, 卷号: 86, 期号: 1, 页码: 53-69
作者:  Bai, Zhong-Zhi;  Yin, Jun-Feng
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
Preconditioner  Givens rotation  Incomplete orthogonal factorization  Nonsymmetric matrix  
Optimal parameters in the HSS-like methods for saddle-point problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2009, 卷号: 16, 期号: 6, 页码: 447-479
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
saddle-point problem  Hermitian and skew-Hermitian splitting  accelerated splitting iteration method  preconditioning property  
CONSTRAINT PRECONDITIONERS FOR SYMMETRIC INDEFINITE MATRICES 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2009, 卷号: 31, 期号: 2, 页码: 410-433
作者:  Bai, Zhong-Zhi;  Ng, Michael K.;  Wang, Zeng-Qi
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
symmetric indefinite systems  constraint preconditioners  
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：108/0  |  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  
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices 期刊论文
MATHEMATICS OF COMPUTATION, 2006, 卷号: 76, 期号: 257, 页码: 287-298
作者:  Bai, Zhong-Zhi;  Golub, Gene H.;  Li, Chi-Kwong
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
non-Hermitian matrix  positive semidefinite matrix  Hermitian and skew-Hermitian splitting  splitting iteration method  convergence  
A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part 期刊论文
NUMERICAL ALGORITHMS, 2004, 卷号: 35, 期号: 2-4, 页码: 351-372
作者:  Axelsson, O;  Bai, ZZ;  Qiu, SX
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
system of linear equations  inner/outer iteration  conjugate gradient method  Krylov subspace iterations  incomplete factorization  relaxation iteration  convergence theory