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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:107/0  |  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  
Study on convex optimization with least constraint violation under a general measure 期刊论文
OPTIMIZATION, 2022, 页码: 32
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载:172/0  |  提交时间:2023/02/07
Convex optimization  measure function  least constraint violation  augmented Lagrangian method  shifted problem  
A family of spectral gradient methods for optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 43-65
作者:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
收藏  |  浏览/下载:168/0  |  提交时间:2020/01/10
Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
On the Nonergodic Convergence Rate of an Inexact Augmented Lagrangian Framework for Composite Convex Programming 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2019, 卷号: 44, 期号: 2, 页码: 632-650
作者:  Liu, Ya-Feng;  Liu, Xin;  Ma, Shiqian
收藏  |  浏览/下载:175/0  |  提交时间:2020/01/10
inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
A new piecewise quadratic approximation approach for L-0 norm minimization problem 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 1, 页码: 185-204
作者:  Li, Qian;  Bai, Yanqin;  Yu, Changjun;  Yuan, Ya-xiang
收藏  |  浏览/下载:198/0  |  提交时间:2019/03/05
sparse optimization  non-convex approximation  iterative thresholding algorithm  
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:196/0  |  提交时间:2020/01/10
Minimax convex problem  MINLP  outer approximation  subgradient  master program  
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:203/0  |  提交时间:2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
QoS-Based Linear Transceiver Optimization for Full-Duplex Multiuser Communications 期刊论文
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2018, 卷号: 66, 期号: 9, 页码: 2300-2313
作者:  Chang, Tsung-Hui;  Liu, Ya-Feng;  Lin, Shih-Chun
收藏  |  浏览/下载:149/0  |  提交时间:2018/07/30
Beamforming  full duplex system  multi-user communications  alternating optimization  
A GENERAL TWO-LEVEL SUBSPACE METHOD FOR NONLINEAR OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 6, 页码: 881-902
作者:  Chen, Chong;  Wen, Zaiwen;  Yuan, Yaxiang
收藏  |  浏览/下载:139/0  |  提交时间:2019/03/05
Nonlinear optimization  Convex and nonconvex problems  Subspace technique  Multigrid/multilevel method  Large-scale problems  
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:826/150  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound