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TIGHTNESS OF A NEW AND ENHANCED SEMIDEFINITE RELAXATION FOR MIMO DETECTION 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2019, 卷号: 29, 期号: 1, 页码: 719-742
作者:  Lu, Cheng;  Liu, Ya-Feng;  Zhang, Wei-Qiang;  Zhang, Shuzhong
收藏  |  浏览/下载：172/0  |  提交时间：2020/01/10
complex quadratic programming  semidefinite relaxation  MIMO detection  tight relaxation  
Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights 期刊论文
MATHEMATICAL PROGRAMMING, 2019, 卷号: 173, 期号: 1-2, 页码: 37-77
作者:  Chen, Caihua;  Li, Min;  Liu, Xin;  Ye, Yinyu
收藏  |  浏览/下载：203/0  |  提交时间：2019/03/11
Nonseparable convex minimization  Alternating direction method of multipliers  Block coordinate descent method  Iterate convergence  Random permutation  
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：111/0  |  提交时间：2018/07/30
Equality-constraint quadratic  programming problem  Iteration method  Successive relaxation  
A note on semidefinite programming relaxations for polynomial optimization over a single sphere 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 8, 页码: 1543-1560
作者:  Hu Jiang;  Jiang Bo;  Liu Xin;  Wen ZaiWen
收藏  |  浏览/下载：134/0  |  提交时间：2018/07/30
polynomial optimization over a single sphere  semidefinite programming  best rank-1 tensor approximation  Bose-Einstein condensates  
A smoothing SQP framework for a class of composite minimization over polyhedron 期刊论文
MATHEMATICAL PROGRAMMING, 2016, 卷号: 158, 期号: 1-2, 页码: 467-500
作者:  Liu, Ya-Feng;  Ma, Shiqian;  Dai, Yu-Hong;  Zhang, Shuzhong
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Composite L-q minimization  epsilon-KKT point  Nonsmooth nonconvex non-Lipschitzian optimization  Optimality condition  Smoothing approximation  Worst-case iteration complexity  
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：98/0  |  提交时间：2018/07/30
Equality-constraint quadratic programming problem  Solvability  Iteration method  Preconditioning  Asymptotic convergence  
A framework of constraint preserving update schemes for optimization on Stiefel manifold 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 153, 期号: 2, 页码: 535-575
作者:  Jiang, Bo;  Dai, Yu-Hong
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Stiefel manifold  Orthogonality constraint  Sphere constraint  Range space  Null space  Barzilai-Borwein-like method  Feasible  Adaptive nonmonotone line search  Low-rank correlation matrix  Kohn-Sham total energy minimization  Heterogeneous quadratic functions  
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：99/0  |  提交时间：2018/07/30
sequential quadratic programming  penalty function  filter  regularity  global and local convergence analysis  
Componentwise error bounds for linear complementarity problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 卷号: 31, 期号: 1, 页码: 348-357
作者:  Wang, Zhengyu;  Yuan, Ya-Xiang
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
error bound  linear complementarity problem  convex quadratic programming  
A short note on the Q-linear convergence of the steepest descent method 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 123, 期号: 2, 页码: 339-343
作者:  Yuan, Ya-xiang
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Steepest descent  Exact line search  Q-linear  Rate of convergence