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On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 152, 期号: 1-2, 页码: 491-520
Authors:  Grapiglia, Geovani N.;  Yuan, Jinyun;  Yuan, Ya-xiang
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Global convergence  Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained Optimization  Composite nonsmooth optimization  Multiobjective optimization  
Recent advances in trust region algorithms 期刊论文
MATHEMATICAL PROGRAMMING, 2015, 卷号: 151, 期号: 1, 页码: 249-281
Authors:  Yuan, Ya-xiang
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Trust region algorithms  Nonlinear optimization  Subproblem  Complexity  Convergence  
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  
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
Authors:  Yuan, Ya-xiang
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Steepest descent  Exact line search  Q-linear  Rate of convergence