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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
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：152/0  |  提交时间：2020/05/24
Spatial fractional diffusion equations  Shifted finite-difference discretization  Block Toeplitz-like matrix  Block circulant-like matrix  Preconditioning  Eigenvalue distribution  
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：159/0  |  提交时间：2020/06/30
convergence property  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  
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
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10
Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
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
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：188/0  |  提交时间：2018/10/07
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
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：161/0  |  提交时间：2019/01/11
convergence property  HSS iteration  matrix splitting  preconditioning  respective scaling  spatial fractional diffusion equation  
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：154/0  |  提交时间：2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
On preconditioned MHSS iteration methods for complex symmetric linear systems 期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 56, 期号: 2, 页码: 297-317
作者:  Bai, Zhong-Zhi;  Benzi, Michele;  Chen, Fang
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Complex symmetric linear system  MHSS iteration  Preconditioning  Convergence theory  Spectral properties  
Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2010, 卷号: 3, 期号: 4, 页码: 461-474
作者:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.;  Yang, Xi
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Edge-preserving  image restoration  multiplicative half-quadratic regularization  Newton method  preconditioned conjugate gradient method  constraint preconditioner  eigenvalue bounds  
On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems 期刊论文
COMPUTING, 2010, 卷号: 89, 期号: 3-4, 页码: 171-197
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
Singular linear system  Non-Hermitian matrix  Positive semidefinite matrix  Hermitian and skew-Hermitian splitting  Splitting iteration method  Semi-convergence  Preconditioning matrix  Krylov subspace method  
Modified incomplete orthogonal factorization methods using Givens rotations 期刊论文
COMPUTING, 2009, 卷号: 86, 期号: 1, 页码: 53-69
作者:  Bai, Zhong-Zhi;  Yin, Jun-Feng
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
Preconditioner  Givens rotation  Incomplete orthogonal factorization  Nonsymmetric matrix