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A GLOBALLY CONVERGENT PRIMAL-DUAL INTERIOR-POINT RELAXATION METHOD FOR NONLINEAR PROGRAMS 期刊论文
MATHEMATICS OF COMPUTATION, 2020, 卷号: 89, 期号: 323, 页码: 1301-1329
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong
Favorite  |  View/Download:12/0  |  Submit date:2020/09/23
Nonlinear programming  constrained optimization  interior-point method  logarithmic barrier problem  global convergence  
A ROBUST INTERIOR POINT METHOD FOR COMPUTING THE ANALYTIC CENTER OF AN ILL-CONDITIONED POLYTOPE WITH ERRORS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 6, 页码: 843-865
Authors:  Wang, Zhouhong;  Dai, Yuhong;  Xu, Fengmin
Favorite  |  View/Download:16/0  |  Submit date:2020/05/24
Analytic center  Ill-conditioning  Unboundedness  Primal-dual interior point algorithm  Convergence  Polynomial complexity  
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
Authors:  Liu, Xinwei;  Yuan, Yaxiang
Favorite  |  View/Download:10/0  |  Submit date:2018/07/30
Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints  
On quadratic convergence of the O(root nL)-iteration homogeneous and self-dual linear programming algorithm 期刊论文
ANNALS OF OPERATIONS RESEARCH, 1999, 卷号: 87, 页码: 393-406
Authors:  Wu, F;  Wu, SQ;  Ye, YY
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
linear programming  interior-point algorithms  homogeneity  self-dual  quadratic convergence