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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:106/0  |  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:159/0  |  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:107/0  |  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:108/0  |  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:97/0  |  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:128/0  |  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:89/0  |  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:104/0  |  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  
Restrictively preconditioned conjugate gradient methods for systems of linear equations 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2003, 卷号: 23, 期号: 4, 页码: 561-580
作者:  Bai, ZZ;  Li, GQ
收藏  |  浏览/下载:112/0  |  提交时间:2018/07/30
nonsymmetric linear system  conjugate gradient method  Krylov subspace iteration  preconditioning