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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：148/0  |  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  
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：125/0  |  提交时间：2020/05/24
Hermitian eigenproblem  Krylov subspace method  Inexact iteration  Convergence property  
On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 72, 页码: 23-28
作者:  Bai, Zhong-Zhi;  Miao, Cun-Qiang
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
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：153/0  |  提交时间：2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
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：102/0  |  提交时间：2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
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 HSS iteration methods for a class of complex symmetric linear systems 期刊论文
COMPUTING, 2010, 卷号: 87, 期号: 3-4, 页码: 93-111
作者:  Bai, Zhong-Zhi;  Benzi, Michele;  Chen, Fang
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
Complex symmetric matrix  Hermitian and skew-Hermitian splitting  Iteration method  Krylov subspace method  Convergence analysis  Preconditioning  
Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 232, 期号: 1, 页码: 3-16
作者:  Krukier, Lev A.;  Martynova, Tatiana S.;  Bai, Zhong-Zhi
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
Hermitian and skew-Hermitian splitting  Product-type skew-Hermitian triangular splitting  Splitting iteration method  Krylov subspace method  Convergence theory  
Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts 期刊论文
BIT NUMERICAL MATHEMATICS, 2004, 卷号: 44, 期号: 2, 页码: 363-386
作者:  Wang, L;  Bai, ZZ
收藏  |  浏览/下载：83/0  |  提交时间：2018/07/30
Hermitian and skew-Hermitian splitting  triangular splitting  splitting iteration method  Krylov subspace method  convergence theory  
A class of nested iteration schemes for linear systems with a coefficient matrix with a dominant positive definite symmetric part 期刊论文
NUMERICAL ALGORITHMS, 2004, 卷号: 35, 期号: 2-4, 页码: 351-372
作者:  Axelsson, O;  Bai, ZZ;  Qiu, SX
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
system of linear equations  inner/outer iteration  conjugate gradient method  Krylov subspace iterations  incomplete factorization  relaxation iteration  convergence theory