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Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载：86/0  |  提交时间：2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
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：122/0  |  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：233/0  |  提交时间：2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
A short note on the Q-linear convergence of the steepest descent method 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 123, 期号: 2, 页码: 339-343
作者:  Yuan, Ya-xiang
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
Steepest descent  Exact line search  Q-linear  Rate of convergence  
Sub-quadratic convergence of a smoothing Newton algorithm for the P(0) and monotone LCP 期刊论文
MATHEMATICAL PROGRAMMING, 2004, 卷号: 99, 期号: 3, 页码: 423-441
作者:  Huang, ZH;  Qi, LQ;  Sun, DF
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
linear complementarity problem  smoothing Newton method  global convergence  sub-quadratic convergence