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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：86/0  |  提交时间：2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 60
作者:  Hu, Shenglong;  Ye, Ke
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Orthogonally decomposable tensors  Low rank orthogonal tensor approximation  R-linear convergence  Sublinear convergence  Global convergence  
AN ALTERNATING MINIMIZATION METHOD FOR MATRIX COMPLETION PROBLEMS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 卷号: 13, 期号: 6, 页码: 1757-1772
作者:  Shen, Yuan;  Liu, Xin
收藏  |  浏览/下载：180/0  |  提交时间：2020/05/24
Matrix completion  symmetric low rank product minimization  singular value decomposition  alternating minimization  
GRADIENT FLOW BASED KOHN-SHAM DENSITY FUNCTIONAL THEORY MODEL 期刊论文
MULTISCALE MODELING & SIMULATION, 2020, 卷号: 18, 期号: 4, 页码: 1621-1663
作者:  Dai, Xiaoying;  Wang, Qiao;  Zhou, Aihui
收藏  |  浏览/下载：123/0  |  提交时间：2021/04/26
density functional theory  dynamical system  gradient flow  orthogonality preserving  eigenvalue problem  energy minimization  
An alternating minimization method for robust principal component analysis 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2019, 卷号: 34, 期号: 6, 页码: 1251-1276
作者:  Shen, Yuan;  Xu, Hongyu;  Liu, Xin
收藏  |  浏览/下载：195/0  |  提交时间：2020/01/10
Robust principal component analysis  symmetric low rank product minimization  singular value decomposition  alternating minimization  
Limit Configurations of Schrodinger Systems Versus Optimal Partition for the Principal Eigenvalue of Elliptic Systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2019, 卷号: 19, 期号: 4, 页码: 693-715
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载：157/0  |  提交时间：2020/05/24
Schrodinger System  Almgren's Monotonicity Formula  Optimal Partition  Free Boundary Problem  
DISTRIBUTED SUBGRADIENT-FREE STOCHASTIC OPTIMIZATION ALGORITHM FOR NONSMOOTH CONVEX FUNCTIONS OVER TIME-VARYING NETWORKS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 卷号: 57, 期号: 4, 页码: 2821-2842
作者:  Wang, Yinghui;  Zhao, Wenxiao;  Hong, Yiguang;  Zamani, Mohsen
收藏  |  浏览/下载：122/0  |  提交时间：2019/10/28
distributed stochastic optimization  gradient-/subgadient-free algorithm  nonsmoothness  randomized differences  
Constrained Consensus Algorithms With Fixed Step Size for Distributed Convex Optimization Over Multiagent Networks 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 卷号: 62, 期号: 8, 页码: 4259-4265
作者:  Liu, Qingshan;  Yang, Shaofu;  Hong, Yiguang
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
Constrained consensus  convergence  distributed optimization  multiagent network  
Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 56, 期号: 2, 页码: 14
作者:  Li, Chong;  Liu, Yanyan
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
ON THE ANALYSIS OF THE DISCRETIZED KOHN-SHAM DENSITY FUNCTIONAL THEORY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 4, 页码: 1758-1785
作者:  Liu, Xin;  Wen, Zaiwen;  Wang, Xiao;  Ulbrich, Michael;  Yuan, Yaxiang
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Kohn-Sham total energy minimization  Kohn-Sham equation  self-consistent field iteration  nonlinear eigenvalue problem