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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 EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 卷号: 29, 期号: 3, 页码: 341-366
作者:  Dai, Hua;  Bai, Zhong-Zhi
收藏  |  浏览/下载:108/0  |  提交时间:2018/07/30
Discrete algebraic Riccati equation  Symmetric positive definite solution  Eigenvalue bound  Fixed-point iteration  Convergence theory  
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  
Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2007, 卷号: 27, 期号: 1, 页码: 1-23
作者:  Bai, Zhong-Zhi;  Golub, Gene H.
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
saddle-point problem  Hermitian and skew-Hermitian splitting  splitting iteration method  preconditioning  
A class of new parallel hybrid algebraic multilevel iterations 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2001, 卷号: 19, 期号: 6, 页码: 651-672
作者:  Bai, ZZ
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
elliptic boundary value problem  system of linear equations  symmetric positive definite matrix  multilevel iteration  parallel method  
Modified block SSOR preconditioners for symmetric positive definite linear systems 期刊论文
ANNALS OF OPERATIONS RESEARCH, 2001, 卷号: 103, 页码: 263-282
作者:  Bai, ZZ
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
symmetric positive definite linear system  block SSOR iteration  preconditioner  hierarchical basis discretization  
A class of asynchronous parallel iterations for the systems of nonlinear algebraic equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 卷号: 39, 期号: 7-8, 页码: 81-94
作者:  Bai, ZZ
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
system of nonlinear algebraic equations  matrix multisplitting  asynchronous iteration  global convergence