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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
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System of linear equations  Inconsistency  Kaczmarz method  Randomized iteration  Convergence property  
Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
Authors:  Bai, Zhong-Zhi
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stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
On greedy randomized coordinate descent methods for solving large linear least-squares problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 卷号: 26, 期号: 4, 页码: 15
Authors:  Bai, Zhong-Zhi;  Wu, Wen-Ting
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convergence property  coordinate descent method  linear least-squares problem  randomized iteration  
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 77, 期号: 9, 页码: 2396-2406
Authors:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
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Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
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Matrix splitting  Iteration method  Convergence property  Spatial fractional diffusion equation  
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
Authors:  Bai, Zhong-Zhi
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Generalized saddle-point problem  Hermitian and skew-Hermitian splitting  Preconditioning  Spectral property  
Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 5, 页码: 18
Authors:  Bai, Zhong-Zhi
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convergence property  HSS iteration  matrix splitting  preconditioning  respective scaling  spatial fractional diffusion equation  
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
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System of linear equations  Randomized Kaczmarz method  Convergence rate  
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 83, 页码: 21-26
Authors:  Bai, Zhong-Zhi;  Wu, Wen-Ting
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System of linear equations  Kaczmarz method  Randomized iteration  Relaxation  Convergence 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
Authors:  Bai, Zhong-Zhi
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convergence  Hermitian and skew-Hermitian splitting  iteration method  preconditioning  system of linear equations