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The augmented lagrangian method can approximately solve convex optimization with least constraint violation 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 35
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载:112/0  |  提交时间:2023/02/07
Convex optimization  Least constraint violation  Augmented Lagrangian method  Shifted problem  Optimal value mapping  Solution mapping  Dual function  Conjugate dual  
Physical-Layer Multicasting Design for Downstream G.fast DSL Transmission 期刊论文
IEEE ACCESS, 2019, 卷号: 7, 页码: 110660-110673
作者:  Lanneer, Wouter;  Liu, Ya-Feng;  Yu, Wei;  Moonen, Marc
收藏  |  浏览/下载:186/0  |  提交时间:2020/01/10
G.fast  dynamic spectrum management  physical-layer multicasting  rank-one precoding  
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:228/0  |  提交时间:2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
Optimal estimation of sensor biases for asynchronous multi-sensor data fusion 期刊论文
MATHEMATICAL PROGRAMMING, 2018, 卷号: 170, 期号: 1, 页码: 357-386
作者:  Pu, Wenqiang;  Liu, Ya-Feng;  Yan, Junkun;  Liu, Hongwei;  Luo, Zhi-Quan
收藏  |  浏览/下载:181/0  |  提交时间:2018/07/30
Block coordinate decent algorithm  Nonlinear least squares  Sensor registration problem  Tightness of semidefinite relaxation  
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:118/0  |  提交时间:2018/07/30
Equality-constraint quadratic  programming problem  Iteration method  Successive relaxation  
A SEQUENTIAL UPDATING SCHEME OF THE LAGRANGE MULTIPLIER FOR SEPARABLE CONVEX PROGRAMMING 期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 303, 页码: 315-343
作者:  Dai, Yu-Hong;  Han, Deren;  Yuan, Xiaoming;  Zhang, Wenxing
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Convex programming  augmented Lagrangian method  splitting method  method of multipliers  image processing  
Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints 期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 2, 页码: 399-422
作者:  Bai, Zhong-Zhi;  Tao, Min
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
Equality-constraint quadratic programming problem  Solvability  Iteration method  Preconditioning  Asymptotic convergence  
Fiber Orientation Distribution Estimation Using a Peaceman-Rachford Splitting Method 期刊论文
SIAM JOURNAL ON IMAGING SCIENCES, 2016, 卷号: 9, 期号: 2, 页码: 573-604
作者:  Chen, Yannan;  Dai, Yu-Hong;  Han, Deren
收藏  |  浏览/下载:106/0  |  提交时间:2018/07/30
fiber orientation distribution  magnetic resonance imaging  Peaceman-Rachford splitting method  positive semidefinite tensor  semidefinite programming  sum of squares polynomial  
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:105/0  |  提交时间:2018/07/30
sequential quadratic programming  penalty function  filter  regularity  global and local convergence analysis  
Componentwise error bounds for linear complementarity problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 卷号: 31, 期号: 1, 页码: 348-357
作者:  Wang, Zhengyu;  Yuan, Ya-Xiang
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
error bound  linear complementarity problem  convex quadratic programming