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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:169/0  |  提交时间:2020/01/10
System of linear equations  Inconsistency  Kaczmarz method  Randomized iteration  Convergence property  
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:192/0  |  提交时间:2018/10/07
Generalized saddle-point problem  Hermitian and skew-Hermitian splitting  Preconditioning  Spectral property  
On convergence rate of the randomized Kaczmarz method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 卷号: 553, 页码: 252-269
作者:  Bai, Zhong-Zhi;  Wu, Wen-Ting
收藏  |  浏览/下载:161/0  |  提交时间:2018/07/30
System of linear equations  Randomized Kaczmarz method  Convergence rate  
An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 523, 页码: 109-117
作者:  Xu, Xuefeng
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
Distinct eigenvalues  Perturbation  Defectivity  Derogatory index  
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:115/0  |  提交时间:2018/07/30
Equality-constraint quadratic  programming problem  Iteration method  Successive relaxation  
Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 卷号: 435, 期号: 5, 页码: 1157-1170
作者:  Liu, X.;  McKee, S.;  Yuan, J. Y.;  Yuan, Y. X.
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
1-Norm uniform upper bound  Inverse of lower triangular Toeplitz matrix  Brunner's conjecture  Abel equation  
On cone of nonsymmetric positive semidefinite matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 卷号: 433, 期号: 4, 页码: 718-736
作者:  Wang, Yingnan;  Xiu, Naihua;  Han, Jiye
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
Nonsymmetric positive semidefinite matrix  Hyperbolic cone  Facial structure  Maximal convex subcone  P(0)-matrix  Projection  
On semi-convergence of parameterized Uzawa methods for singular saddle point problems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 卷号: 431, 期号: 5-7, 页码: 808-817
作者:  Zheng, Bing;  Bai, Zhong-Zhi;  Yang, Xi
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Saddle point problem  Singular matrix  Parameterized Uzawa method  Semi-convergence  Optimal iteration parameters  Semi-convergence factor  
Similarity reduction of matrix over a quaternion division ring (vol 428, pg 765, 2008) 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 卷号: 429, 期号: 4, 页码: 948-948
作者:  Huang, Li-Ping;  Liu, Zhuo-Jun
收藏  |  浏览/下载:67/0  |  提交时间:2018/07/30
On parameterized inexact Uzawa methods for generalized saddle point problems 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 卷号: 428, 期号: 11-12, 页码: 2900-2932
作者:  Bai, Zhong-Zhi;  Wang, Zeng-Qi
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
generalized saddle point problem  parameterized inexact Uzawa method  acceleration technique  convergence  quasi-optimal relaxation parameter  quasi-optimal convergence factor