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The even parity Goldfeld conjecture: Congruent number elliptic curves 期刊论文
JOURNAL OF NUMBER THEORY, 2022, 卷号: 230, 页码: 161-195
作者:  Burungale, Ashay;  Tian, Ye
收藏  |  浏览/下载：129/0  |  提交时间：2022/04/02
L-function  Selmer group  Goldfeld conjecture  BSD conjecture  Quadratic twist  Tunnell's theorem  Congruent numbers  
Positive semidefinite penalty method for quadratically constrained quadratic programming 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 4, 页码: 2488-2515
作者:  Gu, Ran;  Du, Qiang;  Yuan, Ya-xiang
收藏  |  浏览/下载：145/0  |  提交时间：2022/04/02
quadratically constrained quadratic programming  semidefinite programming  semidefinite relaxation  penalty function  
QUADRATIC GROWTH CONDITIONS FOR CONVEX MATRIX OPTIMIZATION PROBLEMS ASSOCIATED WITH SPECTRAL FUNCTIONS 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2017, 卷号: 27, 期号: 4, 页码: 2332-2355
作者:  Cui, Ying;  Ding, Chao;  Zhao, Xinyuan
收藏  |  浏览/下载：187/0  |  提交时间：2018/07/30
matrix optimization  spectral functions  quadratic growth conditions  metric sub regularity  augmented Lagrangian function  fast convergence rates  
A SEQUENTIAL QUADRATIC PROGRAMMING METHOD WITHOUT A PENALTY FUNCTION OR A FILTER FOR NONLINEAR EQUALITY CONSTRAINED OPTIMIZATION 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2011, 卷号: 21, 期号: 2, 页码: 545-571
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
sequential quadratic programming  penalty function  filter  regularity  global and local convergence analysis  
Generating 2n-wing attractors from Lorenz-like systems 期刊论文
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2010, 卷号: 38, 期号: 3, 页码: 243-258
作者:  Yu, Simin;  Tang, Wallace K. S.;  Lu, Jinhu;  Chen, Guanrong
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
circuit realization  Lorenz-like system  multi-wing attractor  quadratic function  
An extension of LaSalle's Invariance Principle for a class of switched linear systems 期刊论文
SYSTEMS & CONTROL LETTERS, 2009, 卷号: 58, 期号: 10-11, 页码: 754-758
作者:  Wang, Jinhuan;  Cheng, Daizhan;  Hu, Xiaoming
收藏  |  浏览/下载：146/0  |  提交时间：2018/07/30
LaSalle's Invariance Principle  Switched linear systems  Weak common quadratic Lyapunov function  
CONSTRUCTIVE STABILIZATION OF QUADRATIC-INPUT NONLINEAR SYSTEMS WITH BOUNDED CONTROLS 期刊论文
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2008, 卷号: 14, 期号: 4, 页码: 571-593
作者:  Zhong, Jianghua;  Cheng, Daizhan;  Hu, Xiaoming
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
Quadratic-input nonlinear system  global stabilization  bounded control  Lyapunov control function  
An extension of LaSalle's invariance principle and its application to multi-agent consensus 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 卷号: 53, 期号: 7, 页码: 1765-1770
作者:  Cheng, Daizhan;  Wang, Jinhuan;  Hu, Xiaoming
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
LaSalle's invariance principle  multi-agent consensus  switched linear systems  weak common quadratic Lyapunov function  
Constructive stabilization for quadratic input nonlinear systems 期刊论文
AUTOMATICA, 2008, 卷号: 44, 期号: 8, 页码: 1996-2005
作者:  Zhong, Jianghua;  Cheng, Daizhan;  Hu, Xiaoming
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
quadratic input nonlinear system  global stabilization  control Lyapunov function  
A sequential quadratic programming algorithm with non-monotone line search 期刊论文
PACIFIC JOURNAL OF OPTIMIZATION, 2008, 卷号: 4, 期号: 2, 页码: 335-351
作者:  Dai, Yu-Hong;  Schittkowski, Klaus
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
SQP  sequential quadratic programming  nonlinear programming  non-monotone line search  merit function  convergence  numerical results