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Homogenization for polynomial optimization with unbounded sets
期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 41
Authors:
Huang, Lei
;
Nie, Jiawang
;
Yuan, Ya-Xiang
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View/Download:20/0
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Submit date:2023/02/07
Polynomial optimization
Homogenization
Moment-SOS relaxations
Optimality conditions
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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View/Download:69/0
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Submit date:2018/07/30
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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Submit date:2018/07/30
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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Submit date:2018/07/30
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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Submit date:2018/07/30
Steepest descent
Exact line search
Q-linear
Rate of convergence