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On convergence rate of the randomized Gauss-Seidel method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 卷号: 611, 页码: 237-252
Authors:  Bai, Zhong-Zhi;  Wang, Lu;  Wu, Wen-Ting
Favorite  |  View/Download:59/0  |  Submit date:2021/04/26
System of linear equations  Randomized Gauss-Seidel method  Randomized Kaczmarz method  Convergence rate  
On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 卷号: 578, 页码: 225-250
Authors:  Bai, Zhong-Zhi;  Wu, Wen-Ting
Favorite  |  View/Download:78/0  |  Submit date:2020/01/10
System of linear equations  Inconsistency  Kaczmarz method  Randomized iteration  Convergence property  
On convergence rate of the randomized Kaczmarz method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 553, 页码: 252-269
Authors:  Bai, Zhong-Zhi;  Wu, Wen-Ting
Favorite  |  View/Download:75/0  |  Submit date:2018/07/30
System of linear equations  Randomized Kaczmarz method  Convergence rate  
An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 523, 页码: 109-117
Authors:  Xu, Xuefeng
Favorite  |  View/Download:47/0  |  Submit date:2018/07/30
Distinct eigenvalues  Perturbation  Defectivity  Derogatory index  
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
Authors:  Wang, Li;  Bai, Zhong-Zhi
Favorite  |  View/Download:43/0  |  Submit date: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
Authors:  Bai, Zhong-Zhi;  Golub, Gene H.;  Ng, Michael K.
Favorite  |  View/Download:48/0  |  Submit date:2018/07/30
Hermitian matrix  skew-Hermitian matrix  inexact iterations  conjugate gradient (CG) method  Lanczos method  conjugate gradient for normal equations (CGNE) method  
Pfaffianization of the discrete three-dimensional three wave interaction equation 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 卷号: 407, 页码: 277-295
Authors:  Zhao, JX;  Hu, XB;  Tam, HW
Favorite  |  View/Download:50/0  |  Submit date:2018/07/30
discrete three-dimensional three wave equation  pfaffianization  discrete Gram-type determinant solution  Gram-type pfaffian  
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
Authors:  Ng, MK;  Bai, ZZ
Favorite  |  View/Download:41/0  |  Submit date:2018/07/30
Toeplitz-plus-diagonal  ADI  banded  preconditioner  
Regular points in system spaces 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 卷号: 365, 页码: 201-213
Authors:  Han, Y;  Liu, ML
Favorite  |  View/Download:45/0  |  Submit date:2018/07/30
system quiver  regular point  root  Schur root  prestable point  generic decomposition  
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
Authors:  Bai, ZZ;  Wang, CL
Favorite  |  View/Download:35/0  |  Submit date:2018/07/30
system of mildly nonlinear equations  symmetric-positive definiteness  symmetric P-regular splitting  local and global convergence