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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  
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  
On the use of simplex methods in constructing quadratic models 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 卷号: 50, 期号: 7, 页码: 913-924
Authors:  Zhou, Qing-hua
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unconstrained optimization  trust region method  quadratic model  Lagrange function  simplex methods  direct methods  
Superlinearly convergent trust-region method without the assumption of positive-definite Hessian 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 卷号: 129, 期号: 1, 页码: 201-218
Authors:  Zhang, J. L.;  Wang, Y.;  Zhang, X. S.
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trust-region methods  trust-region radius  global convergence  superlinear convergence  local error bound  
Nonmonotone trust-region method for nonlinear programming with general constraints and simple bounds 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 卷号: 122, 期号: 1, 页码: 185-206
Authors:  Xu, DC;  Han, JY;  Chen, ZW
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trust-region methods  nonmonotone algorithms  global convergence  nonlinear equality constraints  substationary points