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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  
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  
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
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:7/0  |  Submit date:2019/12/31
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  
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
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
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
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
Buchberger's style  F5 algorithm  Grobner basis