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An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 248-265
作者:  Wang, Dingkang;  Wang, Hesong;  Wei, Jingjing;  Xiao, Fanghui
收藏  |  浏览/下载：142/0  |  提交时间：2023/02/07
Extended greatest common right divisor  Parametric univariate polynomial matrix  Comprehensive Gr?bner system  Smith normal form  
New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 266-284
作者:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
收藏  |  浏览/下载：138/0  |  提交时间：2023/02/07
Multivariate polynomial matrices  Matrix factorization  Matrix equivalence  Column reduced minors  Gr?bner basis  
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：114/0  |  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  
A new method for estimating Sharpe ratio function via local maximum likelihood 期刊论文
JOURNAL OF APPLIED STATISTICS, 2022, 页码: 19
作者:  Xu, Wenchao;  Lin, Hongmei;  Tong, Tiejun;  Zhang, Riquan
收藏  |  浏览/下载：108/0  |  提交时间：2023/02/07
Direct method  heteroscedastic non-parametric regression  joint limiting distribution  local polynomial smoothing  Sharpe ratio function  
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：111/0  |  提交时间：2023/02/07
Polynomial optimization  Homogenization  Moment-SOS relaxations  Optimality conditions  
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials 期刊论文
CALCOLO, 2022, 卷号: 59, 期号: 1, 页码: 32
作者:  Quan, Qimeng;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载：156/0  |  提交时间：2022/04/02
Nonconforming finite element  De Rham complex  General quadrilateral grids  Piecewise polynomial  
Multilinear and Multiparameter Spectral Multipliers on Homogeneous Besov and Triebel-Lizorkin Spaces on Lie Groups of Polynomial Growth 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 卷号: 32, 期号: 3, 页码: 20
作者:  Fang, Jingxuan;  Li, Hongbo;  Zhao, Jiman
收藏  |  浏览/下载：171/0  |  提交时间：2022/04/02
Multilinear and multiparameter spectral multipliers  Homogeneous Besov spaces  Homogeneous Triebel-Lizorkin spaces  Lie groups of polynomial growth  
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：137/0  |  提交时间：2022/04/02
Polynomial system  Simple multiple zero  Newton's method  Quadratic convergence