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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
收藏  |  浏览/下载：119/0  |  提交时间：2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
Quantum Algorithm for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 40
作者:  Chen Yu-Ao;  Gao Xiao-Shan
收藏  |  浏览/下载：122/0  |  提交时间：2021/04/26
Block cipher AES  Boolean equation solving  condition number  hash function SHA-3  Keccak  HHL algorithm  MPKC  polynomial system solving  quantum algorithm  stream cipher Trivum  
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
收藏  |  浏览/下载：145/0  |  提交时间：2021/01/14
Comprehensive Grobner systems  high-dimensional polynomial system  rational representation  rational univariate representation  
On the Topology and Isotopic Meshing of Plane Algebraic Curves 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 1, 页码: 230-260
作者:  Jin, Kai;  Cheng, Jinsan
收藏  |  浏览/下载：104/0  |  提交时间：2020/05/24
Interval polynomial  isotopic meshing  plane curve  topology  
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：163/0  |  提交时间：2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
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：140/0  |  提交时间：2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 2, 页码: 464-483
作者:  Zhu Wei;  Gao Xiao-Shan
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
Differential polynomial system  regular triangular set  saturated triangular set  triangular decomposition  
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
作者:  Zhou Jie;  Wang Dingkang
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Comprehensive Grobner system  parametric polynomials  perspective-three-point problem  real solutions  
Stability of switched polynomial systems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2008, 卷号: 21, 期号: 3, 页码: 362-377
作者:  Li, Zhiqiang;  Qiao, Yupeng;  Qi, Hongsheng;  Cheng, Daizhan
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
global asymptotical stability  semi-tensor product  switched polynomial systems  
Identification for Wiener systems with internal noise 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2008, 卷号: 21, 期号: 3, 页码: 378-393
作者:  Song, Qijiang;  Chen, Hanfu
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
recursive identification  stochastic approximation  strong consistency  Wiener system  Weierstrass transformation