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ON GREEDY RANDOMIZED AUGMENTED KACZMARZ METHOD FOR SOLVING LARGE SPARSE INCONSISTENT LINEAR SYSTEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 6, 页码: A3892-A3911
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:112/0  |  提交时间:2022/04/02
system of linear equations  inconsistency  augmented linear system  Kaczmarz method  randomized iteration  convergence property  
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
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:169/0  |  提交时间:2020/01/10
System of linear equations  Inconsistency  Kaczmarz method  Randomized 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:164/0  |  提交时间:2020/01/10
convergence property  coordinate descent method  linear least-squares problem  randomized iteration  
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:163/0  |  提交时间:2019/01/11
convergence property  HSS iteration  matrix splitting  preconditioning  respective scaling  spatial fractional diffusion equation  
ON GREEDY RANDOMIZED KACZMARZ METHOD FOR SOLVING LARGE SPARSE LINEAR SYSTEMS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 1, 页码: A592-A606
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:175/0  |  提交时间:2018/07/30
system of linear equations  Kaczmarz method  randomized iteration  convergence property  
On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 516, 页码: 264-285
作者:  Bai, Zhong-Zhi;  Tao, Min
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Equality-constraint quadratic  programming problem  Iteration method  Successive relaxation  
ON THE SOLVABILITY CONDITION AND NUMERICAL ALGORITHM FOR THE PARAMETERIZED GENERALIZED INVERSE EIGENVALUE PROBLEM 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2015, 卷号: 36, 期号: 2, 页码: 707-726
作者:  Dai, Hua;  Bai, Zhong-Zhi;  Wei, Ying
收藏  |  浏览/下载:90/0  |  提交时间:2018/07/30
inverse eigenvalue problem  multiparameter eigenvalue problem  smooth LU decomposition  Newton's method  
On HSS-based iteration methods for weakly nonlinear systems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 12, 页码: 2923-2936
作者:  Bai, Zhong-Zhi;  Yang, Xi
收藏  |  浏览/下载:98/0  |  提交时间:2018/07/30
System of weakly nonlinear equations  HSS iteration method  Inner/outer iteration scheme  Nonlinear iteration scheme  Local convergence  
On two iteration methods for the quadratic matrix equations 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2005, 卷号: 2, 页码: 114-122
作者:  Bai, Zhong-Zhi;  Guo, Xiao-Xia;  Yin, Jun-Feng
收藏  |  浏览/下载:103/0  |  提交时间:2018/07/30
quadratic matrix equation  iteration method  convergence property