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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
作者:  Grapiglia, Geovani Nunes;  Yuan, Jinyun;  Yuan, Ya-xiang
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
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
作者:  Grapiglia, Geovani Nunes;  Yuan, Jinyun;  Yuan, Ya-xiang
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
Nonsmooth optimization  Nonlinear programming  Trust-region methods  Derivative-free optimization  Global convergence  Worst-case complexity  
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
作者:  Grapiglia, Geovani N.;  Yuan, Jinyun;  Yuan, Ya-xiang
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
Global convergence  Worst-case complexity  Trust-region methods  Regularization methods  Unconstrained Optimization  Composite nonsmooth optimization  Multiobjective optimization  
deviationpropertyofperiodicmeasuresinc1nonuniformlyhyperbolicsystemswithlimitdomination 期刊论文
actamathematicasinicaenglishseries, 2012, 卷号: 28, 期号: 9, 页码: 1727
作者:  Qian Sheng;  Sun Wen Xiang;  Tian Xue Ting
收藏  |  浏览/下载:101/0  |  提交时间:2020/01/10
thestructureoninvariantmeasuresofc1genericdiffeomorphisms 期刊论文
actamathematicasinicaenglishseries, 2012, 卷号: 28, 期号: 4, 页码: 817
作者:  Sun Wen Xiang;  Tian Xue Ting
收藏  |  浏览/下载:95/0  |  提交时间:2020/01/10
DIFFEOMORPHISMS WITH VARIOUS C~1 STABLE PROPERTIES 期刊论文
Acta Mathematica Scientia, 2012, 卷号: 32, 期号: 2, 页码: 552
作者:  Tian Xueting;  Sun Wenxiang
收藏  |  浏览/下载:116/0  |  提交时间:2020/01/10
DIFFEOMORPHISMS WITH VARIOUS C-1 STABLE PROPERTIES 期刊论文
ACTA MATHEMATICA SCIENTIA, 2012, 卷号: 32, 期号: 2, 页码: 552-558
作者:  Tian Xueting;  Sun Wenxiang
收藏  |  浏览/下载:89/0  |  提交时间:2021/01/14
Specification property  hyperbolic basic set  topologically transitive  shadowing property  
The structure on invariant measures of C (1) generic diffeomorphisms 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 卷号: 28, 期号: 4, 页码: 817-824
作者:  Sun Wen Xiang;  Tian Xue Ting
收藏  |  浏览/下载:93/0  |  提交时间:2021/01/14
UNIFORM HYPERBOLICITY  Generic property  invariant measure and periodic measure  hyperbolic basic set  topologically transitive  irregular point  
Deviation Property of Periodic Measures in C-1 Non-uniformly Hyperbolic Systems with Limit Domination 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 卷号: 28, 期号: 9, 页码: 1727-1740
作者:  Qian Sheng;  Sun Wen Xiang;  Tian Xue Ting
收藏  |  浏览/下载:136/0  |  提交时间:2021/01/14
INVARIANT-MEASURES  Exponential growth rate  generalized entropy  large deviation  limit domination  Pesin set  
Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices 期刊论文
LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 卷号: 435, 期号: 5, 页码: 1157-1170
作者:  Liu, X.;  McKee, S.;  Yuan, J. Y.;  Yuan, Y. X.
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
1-Norm uniform upper bound  Inverse of lower triangular Toeplitz matrix  Brunner's conjecture  Abel equation