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A semismooth Newton based augmented Lagrangian method for nonsmooth optimization on matrix manifolds 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 61
作者:  Zhou, Yuhao;  Bao, Chenglong;  Ding, Chao;  Zhu, Jun
收藏  |  浏览/下载：66/0  |  提交时间：2023/02/07
Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold  
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：108/0  |  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  
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：210/0  |  提交时间：2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
Recent advances in trust region algorithms 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 151, 期号: 1, 页码: 249-281
作者:  Yuan, Ya-xiang
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Trust region algorithms  Nonlinear optimization  Subproblem  Complexity  Convergence  
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  
New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds 期刊论文
MATHEMATICAL PROGRAMMING, 2006, 卷号: 106, 期号: 3, 页码: 403-421
作者:  Dai, YH;  Fletcher, R
收藏  |  浏览/下载：77/0  |  提交时间：2018/07/30
A non-interior continuation method for generalized linear complementarity problems 期刊论文
MATHEMATICAL PROGRAMMING, 1999, 卷号: 86, 期号: 3, 页码: 533-563
作者:  Peng, JM;  Lin, ZH
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
generalized linear complementarity problem  non-interior continuation method  Newton method  Q-quadratical convergence  
A QP-free constrained Newton-type method for variational inequality problems 期刊论文
MATHEMATICAL PROGRAMMING, 1999, 卷号: 85, 期号: 1, 页码: 81-106
作者:  Kanzow, C;  Qi, HD
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
variational inequality problem  Newton's method  semismoothness  global convergence  quadratic convergence  strong regularity