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ADAPTIVE QUADRATICALLY REGULARIZED NEWTON METHOD FOR RIEMANNIAN OPTIMIZATION 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 卷号: 39, 期号: 3, 页码: 1181-1207
Authors:  Hu, Jiang;  Milzarek, Andre;  Wen, Zaiwen;  Yuan, Yaxiang
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Riemannian optimization  regularization  trust-region methods  inexactness  
AN AUGMENTED LAGRANGIAN TRUST REGION METHOD WITH A BI-OBJECT STRATEGY 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 331-350
Authors:  Kou, Caixia;  Chen, Zhongwen;  Dai, Yu-Hong;  Han, Haifei
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Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence  
anaugmentedlagrangiantrustregionmethodwithabiobjectstrategy 期刊论文
journalofcomputationalmathematics, 2018, 卷号: 36, 期号: 3, 页码: 331
Authors:  Kou Caixia;  Chen Zhongwen;  Dai Yuhong;  Han Haifei
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Nonlinear Stepsize Control Algorithms: Complexity Bounds for First- and Second-Order Optimality 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 卷号: 171, 期号: 3, 页码: 980-997
Authors:  Grapiglia, Geovani Nunes;  Yuan, Jinyun;  Yuan, Ya-xiang
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Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained optimization  
A derivative-free trust-region algorithm for composite nonsmooth optimization 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2016, 卷号: 35, 期号: 2, 页码: 475-499
Authors:  Grapiglia, Geovani Nunes;  Yuan, Jinyun;  Yuan, Ya-xiang
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Nonsmooth optimization  Nonlinear programming  Trust-region methods  Derivative-free optimization  Global convergence  Worst-case complexity  
On the worst-case complexity of nonlinear stepsize control algorithms for convex unconstrained optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2016, 卷号: 31, 期号: 3, 页码: 591-604
Authors:  Grapiglia, G. N.;  Yuan, J.;  Yuan, Y.
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worst-case complexity  trust-region methods  regularization methods  unconstrained optimization  90C30  65K05  49M37  49M15  90C29  
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  
An augmented Lagrangian trust region method for equality constrained optimization 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2015, 卷号: 30, 期号: 3, 页码: 559-582
Authors:  Wang, Xiao;  Yuan, Yaxiang
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equality constraints  augmented Lagrangian function  trust region  Lagrange multiplier  penalty parameter  convergence  
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  
Block relaxation and majorization methods for the nearest correlation matrix with factor structure 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2011, 卷号: 50, 期号: 2, 页码: 327-349
Authors:  Li, Qingna;  Qi, Houduo;  Xiu, Naihua
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Block relaxation methods  Majorization methods  Correlation matrix  Factor structure