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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：65/0  |  提交时间：2023/02/07
Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold  
Adaptive Exact Penalty Design for Constrained Distributed Optimization 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 卷号: 64, 期号: 11, 页码: 4661-4667
作者:  Zhou, Hongbing;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载：114/0  |  提交时间：2020/05/24
Optimization  Distributed algorithms  Linear programming  Convex functions  Adaptive control  Convergence  Adaptive algorithms  Adaptive algorithm  convex and nondifferentiable function  distributed optimization  exact penalty method  
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：174/0  |  提交时间：2020/01/10
inexact augmented Lagrangian framework  nonergodic convergence rate  composite convex programming  
PENALTY METHODS WITH STOCHASTIC APPROXIMATION FOR STOCHASTIC NONLINEAR PROGRAMMING 期刊论文
MATHEMATICS OF COMPUTATION, 2017, 卷号: 86, 期号: 306, 页码: 1793-1820
作者:  Wang, Xiao;  Ma, Shiqian;  Yuan, Ya-Xiang
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
Stochastic programming  nonlinear programming  stochastic approximation  penalty method  global complexity bound  
A derivative-free trust-region algorithm for composite nonsmooth optimization 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2016, 卷号: 35, 期号: 2, 页码: 475-499
作者:  Grapiglia, Geovani Nunes;  Yuan, Jinyun;  Yuan, Ya-xiang
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
Nonsmooth optimization  Nonlinear programming  Trust-region methods  Derivative-free optimization  Global convergence  Worst-case complexity  
A smoothing SQP framework for a class of composite minimization over polyhedron 期刊论文
MATHEMATICAL PROGRAMMING, 2016, 卷号: 158, 期号: 1-2, 页码: 467-500
作者:  Liu, Ya-Feng;  Ma, Shiqian;  Dai, Yu-Hong;  Zhang, Shuzhong
收藏  |  浏览/下载：134/0  |  提交时间：2018/07/30
Composite L-q minimization  epsilon-KKT point  Nonsmooth nonconvex non-Lipschitzian optimization  Optimality condition  Smoothing approximation  Worst-case iteration complexity  
On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 152, 期号: 1-2, 页码: 491-520
作者:  Grapiglia, Geovani N.;  Yuan, Jinyun;  Yuan, Ya-xiang
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Global convergence  Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained Optimization  Composite nonsmooth optimization  Multiobjective optimization  
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 Trust Region Algorithm for Solving Bilevel Programming Problems 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 3, 页码: 491-498
作者:  Liu Guoshan;  Xu Shiqin;  Han Jiye
收藏  |  浏览/下载：106/0  |  提交时间：2021/01/14
NONSMOOTH OPTIMIZATION  CONVERGENCE  Bilevel programming problem  trust region algorithm  global convergence  mathematical program with equilibrium constraints  stationary point  
Gap function for set-valued vector variational-like inequalities 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 卷号: 138, 期号: 1, 页码: 77-84
作者:  Mishra, S. K.;  Wang, S. Y.;  Lai, K. K.
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
vector variational-like inequalities  set-valued mappings  gap functions  existence of a solution  semidefinite programming