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Factorizations for a class of multivariate polynomial matrices 期刊论文
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2020, 卷号: 31, 期号: 3, 页码: 989-1004
作者:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
收藏  |  浏览/下载：132/0  |  提交时间：2020/06/30
Multivariate polynomial matrices  Matrix factorization  Reduced minors  Reduced Grobner basis  
Apparent singularities of D-finite systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 卷号: 95, 页码: 217-237
作者:  Chen, Shaoshi;  Kauers, Manuel;  Li, Ziming;  Zhang, Yi
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
D-finite system  Grobner basis  Ordinary point  Formal power series  Apparent singularity  Desingularization  
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  
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：162/0  |  提交时间：2019/04/02
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
作者:  Jing, Rui-Juan;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载：163/0  |  提交时间：2019/03/05
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
作者:  Zhou, Jie;  Wang, Dingkang;  Sun, Yao
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Zero divisor  True on components  Grobner basis  Geometric theorem proving  Geometric theorem discovery  
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  
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：116/0  |  提交时间：2018/07/30
Boolean polynomial rings  Grobner basis  implementation  linear algebra  
A new proof for the correctness of the F5 algorithm 期刊论文
中国科学:数学(英文版), 2013, 卷号: 56, 期号: 4, 页码: 745-756
作者:  Sun Yao;  Wang DingKang
收藏  |  浏览/下载：90/0  |  提交时间：2021/01/14
GROBNER BASES  Grobner basis  F5  F5B  correctness of F5  
Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 6, 页码: 1293-1302
作者:  Ma XiaoDong;  Sun Yao;  Wang DingKang
收藏  |  浏览/下载：91/0  |  提交时间：2021/01/14
BASES  COMPUTATION  ALGORITHMS  RESULTANTS  RUR  PUR  zero-dimensional ideals  Grobner basis