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On factor left prime factorization problems for multivariate polynomial matrices 期刊论文
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2021, 页码: 18
Authors:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
Favorite  |  View/Download:3/0  |  Submit date:2021/04/26
Multivariate polynomial matrices  Matrix factorizations  Factor left prime (FLP)  Column reduced minors  Free modules  
Solving Multivariate Polynomial Matrix Diophantine Equations with Grobner Basis Method 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 14
Authors:  Xiao Fanghui;  Lu Dong;  Wang Dingkang
Favorite  |  View/Download:1/0  |  Submit date:2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
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
Favorite  |  View/Download:50/0  |  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
Favorite  |  View/Download:9/0  |  Submit date:2021/01/14
Comprehensive Grobner systems  high-dimensional polynomial system  rational representation  rational univariate representation  
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
Favorite  |  View/Download:14/0  |  Submit date:2020/06/30
Multivariate polynomial matrices  Matrix factorization  Reduced minors  Reduced Grobner basis  
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
Favorite  |  View/Download:24/0  |  Submit date:2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
asurveyonalgorithmsforcomputingcomprehensivegrobnersystemsandcomprehensivegrobnerbases 期刊论文
journalofsystemsscienceandcomplexity, 2019, 卷号: 32, 期号: 1, 页码: 234
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:19/0  |  Submit date: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
Authors:  Lu Dong;  Sun Yao;  Wang Dingkang
Favorite  |  View/Download:37/0  |  Submit date:2019/03/05
Extended Hensel construction  multivariate polynomial  resultant  sylvester matrix  
Frontiers in biomolecular mesh generation and molecular visualization systems 期刊论文
Visual Computing for Industry, Biomedicine, and Art, 2018, 卷号: 1, 期号: 1
Authors:  Gui,Sheng;  Khan,Dawar;  Wang,Qin;  Yan,Dong-Ming;  Lu,Ben-Zhuo
Favorite  |  View/Download:23/0  |  Submit date:2018/10/07
Biomolecular mesh generation  Remeshing  BEM  FEM  Molecular visualization  
Molecular Surface Remeshing with Local Region Refinement 期刊论文
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2018, 卷号: 19, 期号: 5, 页码: 20
Authors:  Khan, Dawar;  Yan, Dong-Ming;  Gui, Sheng;  Lu, Benzhuo;  Zhang, Xiaopeng
Favorite  |  View/Download:23/0  |  Submit date:2018/07/30
molecular surface mesh  molecular simulation  meshing quality  finite element method