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SONC optimization and exact nonnegativity certificates via second-order cone programming 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 346-370
作者:  Magron, Victor;  Wang, Jie
收藏  |  浏览/下载：120/0  |  提交时间：2023/02/07
Sum of nonnegative circuit polynomials  Second -order cone programming  Polynomial optimization  Sum of binomial squares  Rounding -projection algorithm  Exact nonnegativity certificate  
Nonnegative Polynomials and Circuit Polynomials 期刊论文
SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 2022, 卷号: 6, 期号: 2, 页码: 111-133
作者:  Wang, Jie
收藏  |  浏览/下载：92/0  |  提交时间：2022/06/21
nonnegative polynomial  sum of nonnegative circuit polynomials  SONC  certificate of nonnegativity  sum of squares  SAGE  
Exploiting Sparsity in Complex Polynomial Optimization 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021, 页码: 25
作者:  Wang, Jie;  Magron, Victor
收藏  |  浏览/下载：110/0  |  提交时间：2022/04/02
Complex moment-HSOS hierarchy  Correlative sparsity  Term sparsity  Complex polynomial optimization  Optimal power flow  
A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems 期刊论文
MATHEMATICS, 2018, 卷号: 6, 期号: 9, 页码: 18
作者:  Dou, Xiaojie;  Cheng, Jin-San
收藏  |  浏览/下载：146/0  |  提交时间：2019/01/11
over-determined polynomial system  isolated zeros  minimum point  sum of squares  interval methods  
Fiber Orientation Distribution Estimation Using a Peaceman-Rachford Splitting Method 期刊论文
SIAM JOURNAL ON IMAGING SCIENCES, 2016, 卷号: 9, 期号: 2, 页码: 573-604
作者:  Chen, Yannan;  Dai, Yu-Hong;  Han, Deren
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
fiber orientation distribution  magnetic resonance imaging  Peaceman-Rachford splitting method  positive semidefinite tensor  semidefinite programming  sum of squares polynomial  
AN OCTONION ALGEBRA ORIGINATING IN COMBINATORICS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 卷号: 138, 期号: 12, 页码: 4187-4195
作者:  Dokovic, Dragomir Z.;  Zhao, Kaiming
收藏  |  浏览/下载：84/0  |  提交时间：2018/07/30
Laurent polynomial ring  polynomial Lagrange identity  octonion algebra  composition algebra