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On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 页码: 10
作者:  Bai, Zhong-Zhi;  Wang, Lu;  Muratova, Galina, V
收藏  |  浏览/下载:131/0  |  提交时间:2022/04/02
System of linear equations  relaxation  augmented linear system  randomized Kaczmarz method  convergence property  
AN OUTER APPROXIMATION METHOD FOR A CLASS OF MINIMAX CONVEX MINLP PROBLEMS 期刊论文
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 卷号: 20, 期号: 3, 页码: 379-393
作者:  Chen, Liang;  Dai, Yu-Hong;  Wei, Zhou
收藏  |  浏览/下载:202/0  |  提交时间:2020/01/10
Minimax convex problem  MINLP  outer approximation  subgradient  master program  
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:153/0  |  提交时间:2018/07/30
System of linear equations  Kaczmarz method  Randomized iteration  Relaxation  Convergence property  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载:848/153  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
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:105/0  |  提交时间:2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
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:106/0  |  提交时间:2018/07/30
Hermitian eigenproblem  Jacobi-Davidson method  Inexact iteration  Standard Krylov subspace iteration  Local convergence  
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  
A general modeling and analysis framework for software fault detection and correction process 期刊论文
SOFTWARE TESTING VERIFICATION & RELIABILITY, 2016, 卷号: 26, 期号: 5, 页码: 351-365
作者:  Liu, Yu;  Li, Duo;  Wang, Lujia;  Hu, Qingpei
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
fault detection process  fault correction process  software reliability  weighted least-square estimation  
A SEQUENTIAL QUADRATIC PROGRAMMING METHOD WITHOUT A PENALTY FUNCTION OR A FILTER FOR NONLINEAR EQUALITY CONSTRAINED OPTIMIZATION 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2011, 卷号: 21, 期号: 2, 页码: 545-571
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
sequential quadratic programming  penalty function  filter  regularity  global and local convergence analysis  
Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 卷号: 13, 期号: 8, 页码: 655-674
作者:  Bai, Zhong-Zhi;  Guo, Xiao-Xia;  Xu, Shu-Fang
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
non-symmetric algebraic Riccati equation  minimal non-negative solution  M-matrix  alternately linearized iteration  monotone convergence