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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：135/0  |  提交时间：2019/03/05
semidefinite programming  ADMM  semismooth Newton method  electronic structure calculation  two-body reduced density matrix  
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 125, 期号: 1, 页码: 163-193
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints  
A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 2, 页码: 1500-1523
作者:  Hu, Qiya;  Tai, Xue-Cheng;  Winther, Ragnar
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
harmonic maps  nonlinear constraints  saddle point problems  error estimates  
An interior-point trust-region polynomial algorithm for convex quadratic minimization subject to general convex constraints 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2008, 卷号: 23, 期号: 2, 页码: 251-258
作者:  Lu, Ye;  Yuan, Ya-Xiang
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
interior-point algorithm  self-concordant barrier  trust-region subproblem