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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
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
Favorite  |  View/Download:130/0  |  Submit date: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
Authors:  Bai, Zhong-Zhi;  Wang, Lu;  Wu, Wen-Ting
Favorite  |  View/Download:120/0  |  Submit date:2021/04/26
System of linear equations  Randomized Gauss-Seidel method  Randomized Kaczmarz method  Convergence rate  
Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 404, 页码: 13
Authors:  Bai, Zhong-Zhi;  Lu, Kang-Ya
Favorite  |  View/Download:133/0  |  Submit date:2020/05/24
Spatial fractional diffusion equations  Shifted finite-difference discretization  Block Toeplitz-like matrix  Block circulant-like matrix  Preconditioning  Eigenvalue distribution  
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:151/0  |  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:139/0  |  Submit date:2018/07/30
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
Favorite  |  View/Download:134/0  |  Submit date:2018/07/30
System of linear equations  Kaczmarz method  Randomized iteration  Relaxation  Convergence property  
Modulus-based iterative methods for constrained Tikhonov regularization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 319, 页码: 1-13
Authors:  Bai, Zhong-Zhi;  Buccini, Alessandro;  Hayami, Ken;  Reichel, Lothar;  Yin, Jun-Feng;  Zheng, Ning
Favorite  |  View/Download:89/0  |  Submit date:2018/07/30
Discrete ill-posed problem  Regularization method  Constrained minimization  
Regularized HSS iteration methods for saddle-point linear systems 期刊论文
BIT NUMERICAL MATHEMATICS, 2017, 卷号: 57, 期号: 2, 页码: 287-311
Authors:  Bai, Zhong-Zhi;  Benzi, Michele
Favorite  |  View/Download:111/0  |  Submit date:2018/07/30
Saddle-point linear system  Hermitian and skew-Hermitian splitting  Iterative methods  Inexact implementation  Preconditioning  Convergence