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Algorithms for computing greatest common divisors of parametric multivariate polynomials 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 3-20
作者:  Kapur, Deepak;  Lu, Dong;  Monagan, Michael;  Sun, Yao;  Wang, Dingkang
收藏  |  浏览/下载:250/0  |  提交时间:2020/09/23
Parametric multivariate polynomials  Gcd system  Minimal comprehensive Grobner system  Ideal intersection  Ideal quotient  
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  
asurveyonalgorithmsforcomputingcomprehensivegrobnersystemsandcomprehensivegrobnerbases 期刊论文
journalofsystemsscienceandcomplexity, 2019, 卷号: 32, 期号: 1, 页码: 234
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载:145/0  |  提交时间:2020/01/10
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  
anewalgorithmforcomputingtheextendedhenselconstructionofmultivariatepolynomials 期刊论文
journalofsystemssciencecomplexity, 2018, 卷号: 31, 期号: 6, 页码: 1633
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载:158/0  |  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  
An improvement over the GVW algorithm for inhomogeneous polynomial systems 期刊论文
FINITE FIELDS AND THEIR APPLICATIONS, 2016, 卷号: 41, 页码: 174-192
作者:  Sun, Yao;  Huang, Zhenyu;  Wang, Dingkang;  Lin, Dongdai
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Grobner basis  The GVW algorithm  Signature-based algorithm  Linear algebra  Boolean polynomial ring  
solvingtheperspectivethreepointproblemusingcomprehensivegrobnersystems 期刊论文
journalofsystemsscienceandcomplexity, 2016, 卷号: 29, 期号: 5, 页码: 1446
作者:  Zhou Jie;  Wang Dingkang
收藏  |  浏览/下载:101/0  |  提交时间:2020/01/10
An algorithm for decomposing a polynomial system into normal ascending sets 期刊论文
Science in China. Series A: Mathematics, 2007, 卷号: 50, 期号: 10, 页码: 1441
作者:  Dingkang WANG;  Yan ZHANG
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
analgorithmfordecomposingapolynomialsystemintonormalascendingsets 期刊论文
scienceinchinaseriesamathematics, 2007, 卷号: 50, 期号: 10, 页码: 1441
作者:  Dingkang WANG;  Yan ZHANG
收藏  |  浏览/下载:74/0  |  提交时间:2020/01/10