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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
Authors:  Liu, Xinwei;  Yuan, Yaxiang
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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
Authors:  Wang, Zhengyu;  Yuan, Ya-Xiang
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error bound  linear complementarity problem  convex quadratic programming  
Sparse two-sided rank-one updates for nonlinear equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2010, 卷号: 53, 期号: 11, 页码: 2907-2915
Authors:  Cheng MingHou;  Dai YuHong
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TR1 update  Broyden rank-one update  sparsity  
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
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Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints  
On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration 期刊论文
JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2009, 卷号: 35, 期号: 2, 页码: 143-154
Authors:  Yu, Gaohang;  Qi, Liqun;  Dai, Yuhong
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Image restoration  Total variation  Gradient projection  Constrained optimization