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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:163/0  |  提交时间:2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
Speeding Up the GVW Algorithm via a Substituting Method 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 205-233
作者:  Li Ting;  Sun Yao;  Huang Zhenyu;  Wang Dingkang;  Lin Dongdai
收藏  |  浏览/下载:163/0  |  提交时间:2019/04/02
Grobner basis  GVW  signature-based algorithm  time-memory tradeoff  
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
Automated Reducible Geometric Theorem Proving and Discovery by Grobner Basis Method 期刊论文
JOURNAL OF AUTOMATED REASONING, 2017, 卷号: 59, 期号: 3, 页码: 331-344
作者:  Zhou, Jie;  Wang, Dingkang;  Sun, Yao
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Zero divisor  True on components  Grobner basis  Geometric theorem proving  Geometric theorem discovery  
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:95/0  |  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:111/0  |  提交时间:2018/07/30
Grobner basis  The GVW algorithm  Signature-based algorithm  Linear algebra  Boolean polynomial ring  
On Implementing the Symbolic Preprocessing Function over Boolean Polynomial Rings in Grobner Basis Algorithms Using Linear Algebra 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 卷号: 29, 期号: 3, 页码: 789-804
作者:  Sun Yao;  Huang Zhenyu;  Lin Dongdai;  Wang Dingkang
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Boolean polynomial rings  Grobner basis  implementation  linear algebra  
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:102/0  |  提交时间:2020/01/10
onimplementingthesymbolicpreprocessingfunctionoverbooleanpolynomialringsingrobnerbasisalgorithmsusinglinearalgebra 期刊论文
journalofsystemsscienceandcomplexity, 2016, 卷号: 29, 期号: 3, 页码: 789
作者:  Sun Yao;  Huang Zhenyu;  Lin Dongdai;  Wang Dingkang
收藏  |  浏览/下载:102/0  |  提交时间:2020/01/10
anefficientalgorithmforfactoringpolynomialsoveralgebraicextensionfield 期刊论文
sciencechinamathematics, 2013, 卷号: 56, 期号: 6, 页码: 1155
作者:  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载:82/0  |  提交时间:2020/01/10