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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：102/0  |  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：97/0  |  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：118/0  |  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  
Constructing minimal telescopers for rational functions in three discrete variables 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2022, 卷号: 141, 页码: 31
作者:  Chen, Shaoshi;  Hou, Qing-Hu;  Huang, Hui;  Labahn, George;  Wang, Rong -Hua
收藏  |  浏览/下载：56/0  |  提交时间：2023/02/07
Creative telescoping  Abramov reduction  Symbolic summation  
Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy 期刊论文
ENTROPY, 2022, 卷号: 24, 期号: 8, 页码: 17
作者:  Guo, Laigang;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
differential entropy  completely monotone  Mckean's conjecture  log-concavity  Gaussian optimality  
Quasi-equivalence of heights in algebraic function fields of one variable 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2022, 卷号: 139, 页码: 28
作者:  Feng, Ruyong;  Feng, Shuang;  Shen, Li-Yong
收藏  |  浏览/下载：96/0  |  提交时间：2023/02/07
Height  Algebraic curve  Riemann-Roch space  
Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System 期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 5, 页码: 16
作者:  Huang, Bo;  Niu, Wei;  Xie, Shaofen
收藏  |  浏览/下载：50/0  |  提交时间：2023/02/07
averaging method  limit cycle  symbolic computation  zero-Hopf bifurcation  
New bounds and an efficient algorithm for sparse difference resultants 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 107, 页码: 279-298
作者:  Yuan, Chun-Ming;  Zhang, Zhi-Yong
收藏  |  浏览/下载：145/0  |  提交时间：2021/10/26
Sparse difference resultant  Laurent transformally essential system  Sparse resultant  Complexity  
On the existence of telescopers for rational functions in three variables 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 104, 页码: 494-522
作者:  Chen, Shaoshi;  Du, Lixin;  Wang, Rong-Hua;  Zhu, Chaochao
收藏  |  浏览/下载：142/0  |  提交时间：2021/04/26
Creative telescoping  Existence criterion  Reduction  Telescoper  
Unirational differential curves and differential rational parametrizations 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 104, 页码: 539-562
作者:  Fu, Lei;  Li, Wei
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Unirational differential curve  Proper differential rational parametrization  Differential resultants  Implicitization