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On spectral clustering of HSS preconditioner for generalized saddle-point matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 555, 页码: 285-300
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载:188/0  |  提交时间:2018/10/07
Generalized saddle-point problem  Hermitian and skew-Hermitian splitting  Preconditioning  Spectral property  
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:115/0  |  提交时间:2019/12/13
convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载:826/150  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
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:138/0  |  提交时间:2018/07/30
non-Hermitian matrix  positive definiteness  preconditioning  SSOR iteration  eigenvalue distribution  
On HSS-based constraint preconditioners for generalized saddle-point problems 期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 57, 期号: 2, 页码: 273-287
作者:  Zhang, Guo-Feng;  Ren, Zhi-Ru;  Zhou, Yuan-Yuan
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
Saddle-point problem  Iterative method  Preconditioning method  Non-Hermitian indefinite linear system  HSS-based preconditioner  
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:93/0  |  提交时间:2018/07/30
Complex symmetric matrix  Hermitian and skew-Hermitian splitting  Iteration method  Krylov subspace method  Convergence analysis  Preconditioning  
POSITIVITY OF MATRIX COEFFICIENTS OF REPRESENTATIONS WITH REAL INFINITESIMAL CHARACTERS 期刊论文
ISRAEL JOURNAL OF MATHEMATICS, 2009, 卷号: 170, 期号: 1, 页码: 395-410
作者:  Sun, Binyong
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
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:107/0  |  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:103/0  |  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:98/0  |  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