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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
作者:  Li, Yongfeng;  Wen, Zaiwen;  Yang, Chao;  Yuan, Ya-Xiang
收藏  |  浏览/下载:130/0  |  提交时间:2019/03/05
semidefinite programming  ADMM  semismooth Newton method  electronic structure calculation  two-body reduced density matrix  
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
作者:  An, Heng-Bin;  Bai, Zhong-Zhi
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
systems of nonlinear equations  inexact Newton method  GMRES  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
作者:  Dai, YH;  Martinez, JM;  Yuan, JY
收藏  |  浏览/下载:119/0  |  提交时间: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
作者:  Dai, YH
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
unconstrained optimization  uniform convexity  Armijo line search  nonmonotone line search  R-linear convergence