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New perturbation bounds for the spectrum of a normal matrix 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 455, 期号: 1-2, 页码: 1937-1955
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载：195/0  |  提交时间：2018/07/30
Spectrum  Perturbation  Hermitian matrix  Normal matrix  Departure from normality  
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：145/0  |  提交时间：2018/07/30
non-Hermitian matrix  positive definiteness  preconditioning  SSOR iteration  eigenvalue distribution  
Rotated block triangular preconditioning based on PMHSS 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 12, 页码: 2523-2538
作者:  Bai ZhongZhi
收藏  |  浏览/下载：110/0  |  提交时间：2021/01/14
HERMITIAN SPLITTING METHODS  DEFINITE LINEAR-SYSTEMS  NONSYMMETRIC MATRICES  block two-by-two matrix  PMHSS preconditioner  block triangular preconditioning  product-type preconditioning  eigen-properties  
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：113/0  |  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  
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：102/0  |  提交时间：2018/07/30
Complex symmetric matrix  Hermitian and skew-Hermitian splitting  Iteration method  Krylov subspace method  Convergence analysis  Preconditioning  
On 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：106/0  |  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：92/0  |  提交时间：2018/07/30
non-Hermitian matrix  normal matrix  Hermitian matrix  skew-Hermitian matrix  splitting iteration method  successive overrelaxation  
Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 卷号: 13, 期号: 10, 页码: 801-823
作者:  Deng, Yuan-Bel;  Bai, Zhong-Zhi;  Gao, Yong-Hua
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
matrix equations  Hermitian matrix  generalized inverse  iterative method  
Least-squares solution of inverse problem for hermitian anti-reflexive matrices and its appoximation 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 卷号: 22, 期号: 2, 页码: 477-484
作者:  Peng, ZY;  Deng, YB;  Liu, JW
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
hermitian reflexive matrix  hermitian anti-reflexive matrix  matrix norm  nearest matrix  
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：167/0  |  提交时间：2018/07/30
non-Hermitian matrix  Hermitian matrix  skew-Hermitian matrix  splitting iteration method  optimal iteration parameter