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An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form
期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 248-265
作者:
Wang, Dingkang
;
Wang, Hesong
;
Wei, Jingjing
;
Xiao, Fanghui
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2023/02/07
Extended greatest common right divisor
Parametric univariate polynomial matrix
Comprehensive Gr?bner system
Smith normal form
Algebraic Analysis of Zero-Hopf Bifurcation in a Chua System
期刊论文
SYMMETRY-BASEL, 2022, 卷号: 14, 期号: 5, 页码: 16
作者:
Huang, Bo
;
Niu, Wei
;
Xie, Shaofen
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  |  
浏览/下载:2/0
  |  
提交时间:2023/02/07
averaging method
limit cycle
symbolic computation
zero-Hopf bifurcation
Solving the PnL problem using the hidden variable method: an accurate and efficient solution
期刊论文
VISUAL COMPUTER, 2022, 卷号: 38, 期号: 1, 页码: 95-106
作者:
Wang, Ping
;
Chou, Yongxin
;
An, Aimin
;
Xu, Guili
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  |  
浏览/下载:4/0
  |  
提交时间:2022/03/01
Perspective-n-line problem (PnL)
Camera pose estimation
Absolute position and orientation
Computer vision
Solving Multivariate Polynomial Matrix Diophantine Equations with Grobner Basis Method
期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 14
作者:
Xiao Fanghui
;
Lu Dong
;
Wang Dingkang
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  |  
浏览/下载:12/0
  |  
提交时间:2021/04/26
Grö
bner basis
matrix Diophantine equation
module
multivariate polynomial
An Improvement of the Rational Representation for High-Dimensional Systems
期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 18
作者:
Xiao, Fanghui
;
Lu, Dong
;
Ma, Xiaodong
;
Wang, Dingkang
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  |  
浏览/下载:9/0
  |  
提交时间:2021/01/14
Comprehensive Grobner systems
high-dimensional polynomial system
rational representation
rational univariate representation
The Skew-commutator Relations and Grobner-Shirshov Bases of Quantum Group of Type C-3
期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 卷号: 36, 期号: 4, 页码: 825-835
作者:
Qiang, Cheng-xiu
;
Obul, Abdukadir
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  |  
浏览/下载:13/0
  |  
提交时间:2022/03/01
Ringel-Hall algebras
root vectors
indecomposable modules
Grö
bner-Shirshov bases
compositions
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
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浏览/下载:83/0
  |  
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
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  |  
浏览/下载:27/0
  |  
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:14/0
  |  
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
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  |  
浏览/下载:47/0
  |  
提交时间:2019/04/02
Grobner basis
GVW
signature-based algorithm
time-memory tradeoff
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