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On convergence rate of the randomized Gauss-Seidel method 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 卷号: 611, 页码: 237-252
作者:  Bai, Zhong-Zhi;  Wang, Lu;  Wu, Wen-Ting
收藏  |  浏览/下载:132/0  |  提交时间:2021/04/26
System of linear equations  Randomized Gauss-Seidel method  Randomized Kaczmarz method  Convergence rate  
Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights 期刊论文
MATHEMATICAL PROGRAMMING, 2019, 卷号: 173, 期号: 1-2, 页码: 37-77
作者:  Chen, Caihua;  Li, Min;  Liu, Xin;  Ye, Yinyu
收藏  |  浏览/下载:209/0  |  提交时间:2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
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:159/0  |  提交时间:2018/07/30
System of linear equations  Randomized Kaczmarz method  Convergence rate  
A line search exact penalty method with bi-object strategy for nonlinear constrained optimization 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 卷号: 300, 页码: 245-258
作者:  Chen, Zhongwen;  Dai, Yu-Hong
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Nonlinear constrained optimization  Exact penalty methods  Bi-object strategy  Global convergence  
Low complexity interference alignment algorithms for desired signal power maximization problem of MIMO channels 期刊论文
EURASIP Journal on Advances in Signal Processing, 2012, 卷号: 2012, 期号: 1
作者:  Sun,Cong;  Yang,Yunchuan;  Yuan,Yaxiang
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Interference alignment  Power maximization  Courant penalty function  Alternating minimization algorithm  Householder transformation  
Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2010, 卷号: 3, 期号: 4, 页码: 461-474
作者:  Bai, Zhong-Zhi;  Huang, Yu-Mei;  Ng, Michael K.;  Yang, Xi
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Edge-preserving  image restoration  multiplicative half-quadratic regularization  Newton method  preconditioned conjugate gradient method  constraint preconditioner  eigenvalue bounds  
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 125, 期号: 1, 页码: 163-193
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints  
Convergence analysis of adaptive trust region methods 期刊论文
RAIRO-OPERATIONS RESEARCH, 2007, 卷号: 41, 期号: 1, 页码: 105-121
作者:  Shi, Zhen-Jun;  Zhang, Xiang-Sun;  Shen, Jie
收藏  |  浏览/下载:152/0  |  提交时间:2018/07/30
adaptive trust region method  unconstrained optimization  global convergence  super-linear convergence  
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:102/0  |  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  
Global convergence of a trust region algorithm for nonlinear inequality constrained optimization problems 期刊论文
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2004, 卷号: 25, 期号: 5-6, 页码: 571-592
作者:  Yin, HX;  Han, JY;  Chen, ZW
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
nonlinear optimization  trust region method  inequality constraints  global convergence