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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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
Authors:
Kapur, Deepak
;
Lu, Dong
;
Monagan, Michael
;
Sun, Yao
;
Wang, Dingkang
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View/Download:12/0
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Submit date:2020/09/23
Parametric multivariate polynomials
Gcd system
Minimal comprehensive Grobner system
Ideal intersection
Ideal quotient
An Improvement of the Rational Representation for High-Dimensional Systems
期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 18
Authors:
Xiao, Fanghui
;
Lu, Dong
;
Ma, Xiaodong
;
Wang, Dingkang
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View/Download:1/0
  |  
Submit date:2021/01/14
Comprehensive Grobner systems
high-dimensional polynomial system
rational representation
rational univariate representation
Hilbert Problem 15 and Ritt-Wu Method (II)
期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 15
Authors:
Li, Banghe
;
Wang, Dingkang
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View/Download:10/0
  |  
Submit date:2020/09/23
Cubic curves with cusp
Hilbert problem 15
Ritt-Wu method
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
Authors:
Lu, Dong
;
Wang, Dingkang
;
Xiao, Fanghui
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View/Download:12/0
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Submit date:2020/06/30
Multivariate polynomial matrices
Matrix factorization
Reduced minors
Reduced Grobner basis
On the Construction of Involutory MDS Matrices overF2m
期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 3, 页码: 836-848
Authors:
Bai, Jian
;
Sun, Yao
;
Wang, Dingkang
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View/Download:8/0
  |  
Submit date:2020/09/23
Diffusion layer
involutory MDS matrix
lightweight
On the Construction of Involutory MDS Matrices over F2^m
期刊论文
系统科学与复杂性学报:英文版, 2020, 卷号: 33.0, 期号: 003, 页码: 836-848
Authors:
BAI Jian
;
SUN Yao
;
WANG Dingkang
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View/Download:1/0
  |  
Submit date:2021/01/14
Diffusion
layer
involutory
MDS
matrix
lightweight
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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View/Download:22/0
  |  
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
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View/Download:17/0
  |  
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
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View/Download:17/0
  |  
Submit date:2020/01/10
speedingupthegvwalgorithmviaasubstitutingmethod
期刊论文
系统科学与复杂性学报英文版, 2019, 卷号: 032, 期号: 001, 页码: 205
Authors:
LI Ting
;
SUN Yao
;
HUANG Zhenyu
;
WANG Dingkang
;
LIN Dongdai
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View/Download:18/0
  |  
Submit date:2020/01/10