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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  
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  
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:108/0  |  提交时间:2018/07/30
Systems of nonlinear equations  HSS iteration method  Newton method  Local convergence  
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  
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  
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:86/0  |  提交时间:2018/07/30
non-Hermitian matrix  normal matrix  Hermitian matrix  skew-Hermitian matrix  splitting iteration method  successive overrelaxation