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Supersingular j-invariants and the class number of Q(root-p) 期刊论文
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 卷号: 18, 期号: 05, 页码: 1065-1078
作者:  Xiao, Guanju;  Luo, Lixia;  Deng, Yingpu
收藏  |  浏览/下载:77/0  |  提交时间:2023/02/07
Supersingular j-invariants  class polynomials  class number  imaginary quadratic order  
An Improved Outsourcing Algorithm to Solve Quadratic Congruence Equations in Internet of Things 期刊论文
IEEE INTERNET OF THINGS JOURNAL, 2022, 卷号: 9, 期号: 9, 页码: 6790-6802
作者:  Li, Xiulan;  Bi, Jingguo;  Tian, Chengliang;  Zhang, Hanlin;  Yu, Jia;  Pan, Yanbin
收藏  |  浏览/下载:132/0  |  提交时间:2023/02/07
Outsourcing  Servers  Cryptography  Task analysis  Internet of Things  Cloud computing  Gold  Cloud computing  quadratic congruence equations  secure outsourcing  
Improved two-step Newton's method for computing simple multiple zeros of polynomial systems 期刊论文
NUMERICAL ALGORITHMS, 2022, 页码: 32
作者:  Li, Nan;  Zhi, Lihong
收藏  |  浏览/下载:136/0  |  提交时间:2022/04/02
Polynomial system  Simple multiple zero  Newton's method  Quadratic convergence  
On the acceleration of the Barzilai-Borwein method 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 页码: 24
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载:188/0  |  提交时间:2022/04/02
Barzilai-Borwein method  Gradient methods  Finite termination  Quadratic optimization  
On the Asymptotic Convergence and Acceleration of Gradient Methods 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 1, 页码: 29
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载:279/0  |  提交时间:2022/04/02
Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
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  
Social Optima in Robust Mean Field LQG Control: From Finite to Infinite Horizon 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 4, 页码: 1529-1544
作者:  Wang, Bing-Chang;  Huang, Jianhui;  Zhang, Ji-Feng
收藏  |  浏览/下载:221/0  |  提交时间:2021/06/01
Mathematical model  Games  Robustness  Uncertainty  Optimal control  Stochastic processes  Differential equations  Forward-backward stochastic differential equation (FBSDE)  linear quadratic optimal control  mean field control  model uncertainty  social functional variation  
A proximal DC approach for quadratic assignment problem 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2021, 页码: 27
作者:  Jiang, Zhuoxuan;  Zhao, Xinyuan;  Ding, Chao
收藏  |  浏览/下载:176/0  |  提交时间:2021/04/26
Quadratic assignment problem  Doubly nonnegative programming  Augmented Lagrangian method  Rank constraint  
AN EFFICIENT QUADRATIC PROGRAMMING RELAXATION BASED ALGORITHM FOR LARGE-SCALE MIMO DETECTION 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 2, 页码: 1519-1545
作者:  Zhao, Ping-Fan;  Li, Qing-Na;  Chen, Wei-Kun;  Liu, Ya-Feng
收藏  |  浏览/下载:227/0  |  提交时间:2021/10/26
MIMO detection  projected Newton method  quadratic penalty method  semidefinite relaxation  sparse quadratic programming relaxation