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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:153/0  |  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  
Certifying global optimality of AC-OPF solutions via sparse polynomial optimization 期刊论文
ELECTRIC POWER SYSTEMS RESEARCH, 2022, 卷号: 213, 页码: 9
作者:  Wang, Jie;  Magron, Victor;  Lasserre, Jean B.
收藏  |  浏览/下载:113/0  |  提交时间:2023/02/07
Sparse moment-SOS hierarchy  CS-TSSOS hierarchy  Global optimality  Lasserre?s hierarchy  Large-scale polynomial optimization  Optimal power flow  
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:139/0  |  提交时间:2022/04/02
Complex moment-HSOS hierarchy  Correlative sparsity  Term sparsity  Complex polynomial optimization  Optimal power flow  
Computing real radicals and S-radicals of polynomial systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 259-278
作者:  El Din, Mohab Safey;  Yang, Zhi-Hong;  Zhi, Lihong
收藏  |  浏览/下载:383/0  |  提交时间:2020/09/23
Polynomial system  Real radical  S-radical ideal  Semi-algebraic set  Real algebraic geometry