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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：291/0  |  提交时间：2020/09/23
Polynomial system  Real radical  S-radical ideal  Semi-algebraic set  Real algebraic geometry  
Isotopic Meshing of a Real Algebraic Space Curve 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 4, 页码: 1275-1296
作者:  Jin, Kai;  Cheng, Jinsan
收藏  |  浏览/下载：125/0  |  提交时间：2020/09/23
Algebraic space curve  topology  weak generic position  
A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 234-255
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载：160/0  |  提交时间：2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
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：142/0  |  提交时间：2019/04/02
Polynomial optimization  real algebraic set  generalized critical value  
A polynomial-time algorithm to compute generalized Hermite normal forms of matrices over Z[x] 期刊论文
THEORETICAL COMPUTER SCIENCE, 2019, 卷号: 755, 页码: 89-109
作者:  Jing, Rui-Juan;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载：162/0  |  提交时间：2019/03/05
Generalized Hermite normal form  Grobner basis  Polynomial-time algorithm  Z[x] module  
A much better replacement of the Michaelis-Menten equation and its application 期刊论文
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 卷号: 12, 期号: 1, 页码: 22
作者:  Li, Banghe;  Li, Bo;  Shen, Yuefeng
收藏  |  浏览/下载：159/0  |  提交时间：2019/03/11
Rate constants of enzyme kinetics  quasi-steady-state assumption  quasi-steady-state law  
A New Algorithm for Computing the Extended Hensel Construction of Multivariate Polynomials 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2018, 卷号: 31, 期号: 6, 页码: 1633-1646
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载：138/0  |  提交时间：2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 2, 页码: 464-483
作者:  Zhu Wei;  Gao Xiao-Shan
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
Differential polynomial system  regular triangular set  saturated triangular set  triangular decomposition  
atriangulardecompositionalgorithmfordifferentialpolynomialsystemswithelementarycomputationcomplexity 期刊论文
journalofsystemsscienceandcomplexity, 2017, 卷号: 30, 期号: 2, 页码: 464
作者:  Zhu Wei;  Gao Xiaoshan
收藏  |  浏览/下载：94/0  |  提交时间：2020/01/10
Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 卷号: 29, 期号: 5, 页码: 1446-1471
作者:  Zhou Jie;  Wang Dingkang
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Comprehensive Grobner system  parametric polynomials  perspective-three-point problem  real solutions