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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:195/0  |  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:188/0  |  提交时间:2020/01/10
convergence property  coordinate descent method  linear least-squares problem  randomized iteration  
On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations 期刊论文
BIT NUMERICAL MATHEMATICS, 2019, 卷号: 59, 期号: 1, 页码: 1-33
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载:126/0  |  提交时间:2019/12/13
Matrix splitting  Iteration method  Convergence property  Spatial fractional diffusion equation  
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:186/0  |  提交时间:2019/01/11
convergence property  HSS iteration  matrix splitting  preconditioning  respective scaling  spatial fractional diffusion equation  
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 83, 页码: 21-26
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:174/0  |  提交时间:2018/07/30
System of linear equations  Kaczmarz method  Randomized iteration  Relaxation  Convergence property  
Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 6, 页码: 1063-1078
作者:  Chang, Xiangke;  He, Yi;  Hu, Xingbiao;  Li, Shihao;  Tam, Hon-wah;  Zhang, Yingnan
收藏  |  浏览/下载:183/0  |  提交时间:2018/07/30
integrable system  skew orthogonal polynomial  convergence acceleration algorithm  Laurent property  
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:200/0  |  提交时间:2018/07/30
system of linear equations  Kaczmarz method  randomized iteration  convergence property  
A Barzilai-Borwein conjugate gradient method 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 8, 页码: 1511-1524
作者:  Dai YuHong;  Kou CaiXia
收藏  |  浏览/下载:153/0  |  提交时间:2018/07/30
conjugate gradient method  subspace minimization  Barzilai-Bowein gradient method  line search  descent property  global convergence  
Convergence of conjugate gradient methods with constant stepsizes 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2011, 卷号: 26, 期号: 6, 页码: 895-909
作者:  Dai, Yu-Hong
收藏  |  浏览/下载:131/0  |  提交时间:2018/07/30
unconstrained optimization  nonconvex  conjugate gradient method  method of shortest residuals  descent property  global 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:123/0  |  提交时间:2018/07/30
quadratic matrix equation  iteration method  convergence property