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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
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:11/0  |  Submit date: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
Authors:  Li Ting;  Sun Yao;  Huang Zhenyu;  Wang Dingkang;  Lin Dongdai
Favorite  |  View/Download:8/0  |  Submit date: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
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:5/0  |  Submit date: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
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:7/0  |  Submit date:2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
The lightest 4 x 4 MDS matrices over GL(4, F-2) 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2018, 卷号: 61, 期号: 11, 页码: 3
Authors:  Bai, Jian;  Li, Ting;  Sun, Yao;  Wang, Dingkang;  Lin, Dongdai
Favorite  |  View/Download:9/0  |  Submit date:2018/11/16
thelightest44mdsmatricesovergl4f2 期刊论文
sciencechinainformationscience, 2018, 卷号: 061, 期号: 011, 页码: 119102
Authors:  Bai Jian;  Li Ting;  Sun Yao;  Wang Dingkang;  Lin Dongdai
Favorite  |  View/Download:5/0  |  Submit date:2020/01/10
anewalgorithmforcomputingtheextendedhenselconstructionofmultivariatepolynomials 期刊论文
journalofsystemssciencecomplexity, 2018, 卷号: 31, 期号: 6, 页码: 1633
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:5/0  |  Submit date: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
Authors:  Zhou, Jie;  Wang, Dingkang;  Sun, Yao
Favorite  |  View/Download:4/0  |  Submit date: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
Authors:  Zhou Jie;  Wang Dingkang
Favorite  |  View/Download:4/0  |  Submit date: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
Authors:  Sun, Yao;  Huang, Zhenyu;  Wang, Dingkang;  Lin, Dongdai
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
Grobner basis  The GVW algorithm  Signature-based algorithm  Linear algebra  Boolean polynomial ring