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On the existence of affine invariant descent directions 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 17
Authors:  Dai, Yu-Hong;  Jarre, Florian;  Lieder, Felix
Favorite  |  View/Download:17/0  |  Submit date:2020/05/24
Affine invariance  descent direction  Newton direction  
A SEMISMOOTH NEWTON METHOD FOR SEMIDEFINITE PROGRAMS AND ITS APPLICATIONS IN ELECTRONIC STRUCTURE CALCULATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 6, 页码: A4131-A4157
Authors:  Li, Yongfeng;  Wen, Zaiwen;  Yang, Chao;  Yuan, Ya-Xiang
Favorite  |  View/Download:21/0  |  Submit date:2019/03/05
semidefinite programming  ADMM  semismooth Newton method  electronic structure calculation  two-body reduced density matrix  
POSITIVE-DEFINITE MEMORYLESS SYMMETRIC RANK ONE METHOD FOR LARGE-SCALE UNCONSTRAINED OPTIMIZATION 期刊论文
PACIFIC JOURNAL OF OPTIMIZATION, 2011, 卷号: 7, 期号: 1, 页码: 29-41
Authors:  Leong, Wah June;  Abu Hassan, Malik
Favorite  |  View/Download:9/0  |  Submit date:2018/07/30
large-scale unconstrained optimization  symmetric rank one method  memoryless method  optimal scaling  
A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2007, 卷号: 57, 期号: 3, 页码: 235-252
Authors:  An, Heng-Bin;  Bai, Zhong-Zhi
Favorite  |  View/Download:14/0  |  Submit date:2018/07/30
systems of nonlinear equations  inexact Newton method  GMRES  global convergence  
Convergence of quasi-Newton method with new inexact line search 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 卷号: 315, 期号: 1, 页码: 120-131
Authors:  Shi, ZJ
Favorite  |  View/Download:12/0  |  Submit date:2018/07/30
unconstrained optimization  quasi-Newton method  inexact line search  convergence  
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
Authors:  Han, QM;  Sun, WY;  Han, JY;  Sampaio, RJB
Favorite  |  View/Download:14/0  |  Submit date:2018/07/30
trust-region method  conic model  Quasi-Newton method  non-linear programming  self-adjust strategy  
A new descent algorithm with curve search rule 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 161, 期号: 3, 页码: 753-768
Authors:  Shi, ZJ;  Shen, J
Favorite  |  View/Download:10/0  |  Submit date:2018/07/30
unconstrained minimization  descent method  curve search rule  global convergence  
An increasing-angle property of the conjugate gradient method and the implementation of large-scale minimization algorithms with line searches 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2003, 卷号: 10, 期号: 4, 页码: 323-334
Authors:  Dai, YH;  Martinez, JM;  Yuan, JY
Favorite  |  View/Download:14/0  |  Submit date:2018/07/30
conjugate gradients  unconstrained minimization  truncated Newton methods  truncated quasi-Newton methods  large scale problems  
On the nonmonotone line search 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 卷号: 112, 期号: 2, 页码: 315-330
Authors:  Dai, YH
Favorite  |  View/Download:15/0  |  Submit date:2018/07/30
unconstrained optimization  uniform convexity  Armijo line search  nonmonotone line search  R-linear convergence  
A modified trust region algorithm 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2002, 卷号: 17, 期号: 4, 页码: 587-604
Authors:  Zhu, ZW
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
trust region method  quasi-Newton method  unconstrained optimization  nonlinear optimization