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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  
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：73/0  |  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  
Homogenization for polynomial optimization with unbounded sets 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 41
作者:  Huang, Lei;  Nie, Jiawang;  Yuan, Ya-Xiang
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Polynomial optimization  Homogenization  Moment-SOS relaxations  Optimality conditions  
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  
LOW-RANK MATRIX ITERATION USING POLYNOMIAL-FILTERED SUBSPACE EXTRACTION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 3, 页码: A1686-A1713
作者:  Li, Yongfeng;  Liu, Haoyang;  Wen, Zaiwen;  Yuan, Ya-Xiang
收藏  |  浏览/下载：147/0  |  提交时间：2020/09/23
low-rank matrix iteration  eigenvalue decomposition  inexact optimization method  polynomial filter  subspace extraction  
Global Optimization of Polynomials over Real Algebraic Sets 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 158-184
作者:  Wang Chu;  Yang Zhi-Hong;  Zhi Lihong
收藏  |  浏览/下载：143/0  |  提交时间：2019/04/02
Polynomial optimization  real algebraic set  generalized critical value  
A feasible flow-based iterative algorithm for the two-level hierarchical time minimization transportation problem 期刊论文
COMPUTERS & OPERATIONS RESEARCH, 2017, 卷号: 86, 页码: 124-139
作者:  Xie, Fanrong;  Butt, Muhammad Munir;  Li, Zuoan
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Transportation  Transportation problem  Hierarchical optimization  Polynomial algorithm  Network with lower and upper arc capacities  
A note on semidefinite programming relaxations for polynomial optimization over a single sphere 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 8, 页码: 1543-1560
作者:  Hu Jiang;  Jiang Bo;  Liu Xin;  Wen ZaiWen
收藏  |  浏览/下载：134/0  |  提交时间：2018/07/30
polynomial optimization over a single sphere  semidefinite programming  best rank-1 tensor approximation  Bose-Einstein condensates  
Risk Models for the Prize Collecting Steiner Tree Problems with Interval Data 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 卷号: 30, 期号: 1, 页码: 1-26
作者:  AlvarezMiranda Eduardo;  CandiaVejar Alfredo;  Chen Xujin;  Hu Xiaodong;  Li Bi
收藏  |  浏览/下载：102/0  |  提交时间：2021/01/14
SERIES-PARALLEL GRAPHS  SHORTEST-PATH PROBLEM  COMPUTATIONAL-COMPLEXITY  NETWORK  OPTIMIZATION  CONSTRAINTS  ALGORITHMS  FLOWS  uncertainty modeling  prize collecting Steiner tree  interval data  series-parallel graphs  polynomial-time solvability  
Robust univariate spline models for interpolating interval data 期刊论文
OPERATIONS RESEARCH LETTERS, 2011, 卷号: 39, 期号: 1, 页码: 62-66
作者:  Averbakh, Igor;  Zhao, Yun-Bin
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Uncertainty modeling  Interval data  Piecewise polynomial interpolation  Spline function  Semi-infinite convex optimization