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On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 页码: 10
作者:  Bai, Zhong-Zhi;  Wang, Lu;  Muratova, Galina, V
收藏  |  浏览/下载：131/0  |  提交时间：2022/04/02
System of linear equations  relaxation  augmented linear system  randomized Kaczmarz method  convergence property  
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
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
作者:  Bai, Zhong-Zhi;  Wang, Lu;  Wu, Wen-Ting
收藏  |  浏览/下载：134/0  |  提交时间：2021/04/26
System of linear equations  Randomized Gauss-Seidel method  Randomized Kaczmarz method  Convergence rate  
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
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：183/0  |  提交时间：2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
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
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：164/0  |  提交时间：2019/01/11
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
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载：159/0  |  提交时间：2018/07/30
System of linear equations  Randomized Kaczmarz method  Convergence rate  
ON GREEDY RANDOMIZED KACZMARZ METHOD FOR SOLVING LARGE SPARSE LINEAR SYSTEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 1, 页码: A592-A606
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载：175/0  |  提交时间：2018/07/30
system of linear equations  Kaczmarz method  randomized iteration  convergence property  
Modulus-based multigrid methods for linear complementarity problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 6, 页码: 15
作者:  Bai, Zhong-Zhi;  Zhang, Li-Li
收藏  |  浏览/下载：171/0  |  提交时间：2018/07/30
asymptotic convergence factor  linear complementarity problem  local Fourier analysis  modulus-based matrix splitting iteration  multigrid method  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 516, 页码: 264-285
作者:  Bai, Zhong-Zhi;  Tao, Min
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Equality-constraint quadratic  programming problem  Iteration method  Successive relaxation