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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
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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
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Grobner basis  GVW  signature-based algorithm  time-memory tradeoff  
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
Authors:  Jing, Rui-Juan;  Yuan, Chun-Ming;  Gao, Xiao-Shan
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Generalized Hermite normal form  Grobner basis  Polynomial-time algorithm  Z[x] module  
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
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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
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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
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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
Authors:  Sun Yao;  Huang Zhenyu;  Lin Dongdai;  Wang Dingkang
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Boolean polynomial rings  Grobner basis  implementation  linear algebra  
The F5 algorithm in Buchberger's style 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 卷号: 24, 期号: 6, 页码: 1218-1231
Authors:  Sun, Yao;  Wang, Dingkang
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Buchberger's style  F5 algorithm  Grobner basis  
On computing Grobner bases in rings of differential operators 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 6, 页码: 1077-1087
Authors:  Ma XiaoDong;  Sun Yao;  Wang DingKang
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Grobner basis  rings of differential operators  
HOMOLOGY RIGIDITY OF GRASSMANNIANS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2009, 卷号: 29, 期号: 3, 页码: 697-704
Authors:  Li Fang;  Duan Haibao
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Grassmannians  cohomology