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Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载:100/0  |  提交时间:2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
Compactness of Surfaces in R-n with Small Total Curvature 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2021, 页码: 33
作者:  Sun, Jianxin;  Zhou, Jie
收藏  |  浏览/下载:151/0  |  提交时间:2021/04/26
Isothermal radius  Compactness  Bi-Lipschitz parametrization  Total curvature  
Social Power Dynamics Over Switching and Stochastic Influence Networks 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 卷号: 64, 期号: 2, 页码: 582-597
作者:  Chen, Ge;  Duan, Xiaoming;  Friedkin, Noah E.;  Bullo, Francesco
收藏  |  浏览/下载:193/0  |  提交时间:2019/03/11
DeGroot-Friedkin (DF) model  opinion dynamics  social networks  social power evolution  stochastic approximation  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
作者:  Zhang, Shangyou;  Zhang, Shuo
浏览  |  Adobe PDF(1589Kb)  |  收藏  |  浏览/下载:595/141  |  提交时间:2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
An anisotropic, superconvergent nonconforming plate finite element 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 卷号: 220, 期号: 1-2, 页码: 96-110
作者:  Chen, Shaochun;  Yin, Li;  Mao, Shipeng
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
regularity condition  double set parameter  nonconforming plate element  anisotropic convergence  superconvergence  
On the separable nonlinear least squares problems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 3, 页码: 390-403
作者:  Liu, Xin;  Yuan, Yaxiang
收藏  |  浏览/下载:130/0  |  提交时间:2018/07/30
separable nonlinear least squares problem  variable projection method  Gauss-Newton method  Levenberg-Marquardt method  trust region method  asymptotical convergence rate  data fitting  
ontheseparablenonlinearleastsquaresproblems 期刊论文
journalofcomputationalmathematics, 2008, 卷号: 26, 期号: 3, 页码: 390
作者:  Xin Liu;  Yaxiang Yuan
收藏  |  浏览/下载:139/0  |  提交时间:2020/01/10
Fast algorithms for projection on an ellipsoid 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2006, 卷号: 16, 期号: 4, 页码: 986-1006
作者:  Dai, YH
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
projection  ellipsoid  large-scale  hybrid algorithm  linear convergence  
Convergence of Newton's method and uniqueness of the solution of equations in Banach spaces II 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2003, 卷号: 19, 期号: 2, 页码: 405-412
作者:  Wang, XH;  Li, C
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
nonlinear operator equation  Newton's method  Lipschitz condition with L average  convergence ball