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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:66/0  |  提交时间:2023/02/07
Nonsmooth manifold optimization  Semismooth Newton method  Augmented Lagrangian method  Riemannian manifold  
A PRIMAL-DUAL INTERIOR-POINT METHOD CAPABLE OF RAPIDLY DETECTING INFEASIBILITY FOR NONLINEAR PROGRAMS 期刊论文
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2020, 卷号: 16, 期号: 2, 页码: 1009-1035
作者:  Dai, Yu-Hong;  Liu, Xin-Wei;  Sun, Jie
收藏  |  浏览/下载:151/0  |  提交时间:2020/05/24
Nonlinear programming  constrained optimization  infeasibility  interior-point method  global and local convergence  
Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 页码: 22
作者:  Rashid, Mohammed Harunor;  Yuan, Ya-xiang
收藏  |  浏览/下载:128/0  |  提交时间:2020/05/24
set-valued mappings  generalized equations  metrically regular mapping  semilocal convergence  point-based approximation  
STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: A2239-A2269
作者:  Hu, Jiang;  Jiang, Bo;  Lin, Lin;  Wen, Zaiwen;  Yuan, Ya-Xiang
收藏  |  浏览/下载:154/0  |  提交时间:2020/01/10
optimization with orthogonality constraints  structured quasi-Newton method  limited-memory Nystrom approximation  Hartree-Fock total energy minimization  
ADAPTIVE QUADRATICALLY REGULARIZED NEWTON METHOD FOR RIEMANNIAN OPTIMIZATION 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 卷号: 39, 期号: 3, 页码: 1181-1207
作者:  Hu, Jiang;  Milzarek, Andre;  Wen, Zaiwen;  Yuan, Yaxiang
收藏  |  浏览/下载:158/0  |  提交时间:2019/03/05
Riemannian optimization  regularization  trust-region methods  inexactness  
A TRUST REGION ALGORITHM FOR NASH EQUILIBRIUM PROBLEMS 期刊论文
PACIFIC JOURNAL OF OPTIMIZATION, 2011, 卷号: 7, 期号: 1, 页码: 125-138
作者:  Yuan, Ya-xiang
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Nash equilibrium  trust region  convergence  
A trust region method for optimization problem with singular solutions 期刊论文
APPLIED MATHEMATICS AND OPTIMIZATION, 2007, 卷号: 56, 期号: 3, 页码: 379-394
作者:  Zhang, Juliang;  Wu, Liangyun;  Zhang, Xiangsun
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
nonlinear convex optimization  trust region method  local error bound  superlinear convergence  nonsingularity  
A new path-following algorithm for nonlinear P*complementarity problems 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2006, 卷号: 34, 期号: 2, 页码: 183-214
作者:  Zhao, Y. B.;  Li, D.
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
nonlinear complementarity problems  path-following algorithms  regularized central path  Tikhonov regularization  P*-mappings  
Superlinearly convergent trust-region method without the assumption of positive-definite Hessian 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 卷号: 129, 期号: 1, 页码: 201-218
作者:  Zhang, J. L.;  Wang, Y.;  Zhang, X. S.
收藏  |  浏览/下载:135/0  |  提交时间:2018/07/30
trust-region methods  trust-region radius  global convergence  superlinear convergence  local error bound  
An adaptive conic trust-region method for unconstrained optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2005, 卷号: 20, 期号: 6, 页码: 665-677
作者:  Han, QM;  Sun, WY;  Han, JY;  Sampaio, RJB
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
trust-region method  conic model  Quasi-Newton method  non-linear programming  self-adjust strategy