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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
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：177/0  |  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：177/0  |  提交时间：2021/04/26
System of linear equations  Randomized Gauss-Seidel method  Randomized Kaczmarz method  Convergence rate  
On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 卷号: 27, 期号: 1, 页码: 21
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：189/0  |  提交时间：2020/06/30
convergence property  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  
Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 82, 期号: 4, 页码: 1251-1277
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载：156/0  |  提交时间：2020/05/24
Hermitian eigenproblem  Krylov subspace method  Inexact iteration  Convergence property  
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
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载：197/0  |  提交时间：2020/01/10
convergence property  coordinate descent method  linear least-squares problem  randomized iteration  
Diagonal and circulant or skew-circulant splitting preconditioners for spatial fractional diffusion equations 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 卷号: 37, 期号: 4, 页码: 4196-4218
作者:  Lu, Kang-Ya
收藏  |  浏览/下载：169/0  |  提交时间：2018/10/07
Circulant matrix  Skew-circulant matrix  Preconditioning  Spatial fractional diffusion equations  
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：201/0  |  提交时间：2018/07/30
asymptotic convergence factor  linear complementarity problem  local Fourier analysis  modulus-based matrix splitting iteration  multigrid method  
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
作者:  Bai, Zhong-Zhi;  Buccini, Alessandro;  Hayami, Ken;  Reichel, Lothar;  Yin, Jun-Feng;  Zheng, Ning
收藏  |  浏览/下载：127/0  |  提交时间：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
作者:  Bai, Zhong-Zhi;  Benzi, Michele
收藏  |  浏览/下载：163/0  |  提交时间：2018/07/30
Saddle-point linear system  Hermitian and skew-Hermitian splitting  Iterative methods  Inexact implementation  Preconditioning  Convergence  
On local quadratic convergence of inexact simplified Jacobi-Davidson method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 520, 页码: 215-241
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence