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Algorithms for computing greatest common divisors of parametric multivariate polynomials 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 3-20
作者:  Kapur, Deepak;  Lu, Dong;  Monagan, Michael;  Sun, Yao;  Wang, Dingkang
收藏  |  浏览/下载:250/0  |  提交时间:2020/09/23
Parametric multivariate polynomials  Gcd system  Minimal comprehensive Grobner system  Ideal intersection  Ideal quotient  
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  
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
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
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载:138/0  |  提交时间:2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
anewalgorithmforcomputingtheextendedhenselconstructionofmultivariatepolynomials 期刊论文
journalofsystemssciencecomplexity, 2018, 卷号: 31, 期号: 6, 页码: 1633
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载:158/0  |  提交时间:2020/01/10
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  
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:100/0  |  提交时间:2020/01/10
Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2011, 卷号: 54, 期号: 7, 页码: 1407-1418
作者:  Zhang Mei;  Yan Wei;  Yuan ChunMing;  Wang DingKang;  Gao XiaoShan
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
quadratic B-spline  G01 codes  feature point  velocity planning  interpolation