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A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
作者:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
收藏  |  浏览/下载：84/0  |  提交时间：2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
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  
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：73/0  |  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：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  
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：178/0  |  提交时间：2023/02/07
Convex optimization  measure function  least constraint violation  augmented Lagrangian method  shifted problem  
On the acceleration of the Barzilai-Borwein method 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 页码: 24
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载：142/0  |  提交时间：2022/04/02
Barzilai-Borwein method  Gradient methods  Finite termination  Quadratic optimization  
On the Asymptotic Convergence and Acceleration of Gradient Methods 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 1, 页码: 29
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载：178/0  |  提交时间：2022/04/02
Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
IMPROVED DISCRETE BOUNDARY TYPE SHAPE GRADIENTS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 4, 页码: A2464-A2505
作者:  Gong, Wei;  Li, Jiajie;  Zhu, Shengfeng
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
A parallel orbital-updating based optimization method for electronic structure calculations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 445, 页码: 17
作者:  Dai, Xiaoying;  Liu, Zhuang;  Zhang, Xin;  Zhou, Aihui
收藏  |  浏览/下载：102/0  |  提交时间：2022/04/02
Density functional theory  Electronic structure calculations  Kohn-Sham energy functional minimization problem  Parallel orbital-updating  Optimization method  
An active set Newton-CG method for l(1) optimization 期刊论文
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 卷号: 50, 页码: 303-325
作者:  Cheng, Wanyou;  Dai, Yu-Hong
收藏  |  浏览/下载：155/0  |  提交时间：2021/01/14
l(1) optimization  Shrinkage operator  Barzilai-Borwein method  Newton-CG method