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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  
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  
On Hermitian positive definite solutions of matrix equation X+A*X(-2)A = I 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 卷号: 372, 页码: 295-304
作者:  Zhang, YH
收藏  |  浏览/下载:81/0  |  提交时间:2018/07/30
matrix equation  positive definite solution  iterative method  
A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc-Galerkin linear systems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 卷号: 366, 页码: 317-335
作者:  Ng, MK;  Bai, ZZ
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
Toeplitz-plus-diagonal  ADI  banded  preconditioner  
Convergence theorems for parallel multisplitting two-stage iterative methods for mildly-nonlinear systems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 卷号: 362, 页码: 237-250
作者:  Bai, ZZ;  Wang, CL
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
system of mildly nonlinear equations  symmetric-positive definiteness  symmetric P-regular splitting  local and global convergence  
Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 卷号: 330, 期号: 1-3, 页码: 215-218
作者:  Wang, CL;  Bai, ZZ
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
non-Hermitian matrix  positive definite matrix  convergent splitting  
A matrix version of the Wielandt inequality and its applications to statistics 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 卷号: 296, 期号: 1-3, 页码: 171-181
作者:  Wang, SG;  Ip, WC
收藏  |  浏览/下载:67/0  |  提交时间:2018/07/30
Wielandt inequality  Kantorovich inequality  Cauchy-Schwarz inequality  canonical correlation  condition number  generalized inverse  
A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 卷号: 282, 期号: 1-3, 页码: 1-24
作者:  Bai, ZZ
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
system of linear equations  synchronous parallel iteration  relaxation technique  convergence theory  
Parallel hybrid algebraic multilevel iterative methods 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 卷号: 267, 页码: 281-315
作者:  Bai, ZZ
收藏  |  浏览/下载:71/0  |  提交时间:2018/07/30