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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:87/0  |  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  
A homotopy interior point method for semi-infinite programming problems 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2007, 卷号: 37, 期号: 4, 页码: 631-646
作者:  Liu, Guo-xin
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
semi-infinite programming  first-order necessary optimality condition  homotopy method  global convergence  
Automated reasoning and equation solving with the characteristic set method 期刊论文
JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY, 2006, 卷号: 21, 期号: 5, 页码: 756-764
作者:  Wu, Wen-Tsun;  Gao, Xiao-Shan
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
characteristic set method  automated reasoning  first order theory  difference equation  
A posteriori error estimate of the DSD method for first-order hyperbolic equations 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2002, 卷号: 23, 期号: 6, 页码: 732-740
作者:  Kang, T;  Yu, DH
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
posteriori error estimate  discontinuous-streamline diffusion method  first-order hyperbolic equation