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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
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
Favorite  |  View/Download：34/0  |  Submit date：2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
Smoothing quadratic regularization method for hemivariational inequalities 期刊论文
OPTIMIZATION, 2020, 页码: 24
Authors:  Zhang, Yanfang;  Dai, Yu-Hong;  Han, Weimin;  Li, Zhibao
Favorite  |  View/Download：116/0  |  Submit date：2020/05/24
Hemivariational inequality  contact mechanics  nonmonotone  nonsmooth optimization problem  smoothing quadratic regularization  
Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
Authors:  Bai, Zhong-Zhi
Favorite  |  View/Download：142/0  |  Submit date：2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
Smoothing projected Barzilai-Borwein method for constrained non-Lipschitz optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2016, 卷号: 65, 期号: 3, 页码: 671-698
Authors:  Huang, Yakui;  Liu, Hongwei
Favorite  |  View/Download：102/0  |  Submit date：2018/07/30
Smoothing projected Barzilai-Borwein algorithm  Constrained non-Lipschitz optimization  Nonsmooth nonconvex optimization  Smoothing approximation  l(2)-l(p) problem  Image restoration  Stochastic linear complementarity problem  
ON THE NUMERICAL BEHAVIOR OF MATRIX SPLITTING ITERATION METHODS FOR SOLVING LINEAR SYSTEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 4, 页码: 1716-1737
Authors:  Bai, Zhong-Zhi;  Rozloznik, Miroslav
Favorite  |  View/Download：77/0  |  Submit date：2018/07/30
matrix splitting  stationary iteration method  backward error  rounding error analysis  
On preconditioned MHSS iteration methods for complex symmetric linear systems 期刊论文
NUMERICAL ALGORITHMS, 2011, 卷号: 56, 期号: 2, 页码: 297-317
Authors:  Bai, Zhong-Zhi;  Benzi, Michele;  Chen, Fang
Favorite  |  View/Download：79/0  |  Submit date：2018/07/30
Complex symmetric linear system  MHSS iteration  Preconditioning  Convergence theory  Spectral properties  
A SEQUENTIAL QUADRATIC PROGRAMMING METHOD WITHOUT A PENALTY FUNCTION OR A FILTER FOR NONLINEAR EQUALITY CONSTRAINED OPTIMIZATION 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2011, 卷号: 21, 期号: 2, 页码: 545-571
Authors:  Liu, Xinwei;  Yuan, Yaxiang
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sequential quadratic programming  penalty function  filter  regularity  global and local convergence analysis  
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
Authors:  Kanzow, C;  Qi, HD
Favorite  |  View/Download：68/0  |  Submit date：2018/07/30
variational inequality problem  Newton's method  semismoothness  global convergence  quadratic convergence  strong regularity