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Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：846/153  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 卷号: 516, 页码: 264-285
作者:  Bai, Zhong-Zhi;  Tao, Min
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Equality-constraint quadratic  programming problem  Iteration method  Successive relaxation  
Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints 期刊论文
BIT NUMERICAL MATHEMATICS, 2016, 卷号: 56, 期号: 2, 页码: 399-422
作者:  Bai, Zhong-Zhi;  Tao, Min
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Equality-constraint quadratic programming problem  Solvability  Iteration method  Preconditioning  Asymptotic convergence  
A SEQUENTIAL QUADRATIC PROGRAMMING METHOD WITHOUT A PENALTY FUNCTION OR A FILTER FOR NONLINEAR EQUALITY CONSTRAINED OPTIMIZATION 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2011, 卷号: 21, 期号: 2, 页码: 545-571
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
sequential quadratic programming  penalty function  filter  regularity  global and local convergence analysis  
IMPROVED PROJECTED GRADIENT ALGORITHMS FOR SINGLY LINEARLY CONSTRAINED QUADRATIC PROGRAMS SUBJECT TO LOWER AND UPPER BOUNDS 期刊论文
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2010, 卷号: 27, 期号: 1, 页码: 71-84
作者:  Fu, Yun-Shan;  Dai, Yu-Hong
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Monotone projected gradient algorithm  Support Vector Machine (SVM)  adaptive steepest descent step-size  Dai-Yuan step-size  projection subproblem