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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
Authors:  Wang, Dingkang;  Wang, Hesong;  Wei, Jingjing;  Xiao, Fanghui
Favorite  |  View/Download：53/0  |  Submit date：2023/02/07
Extended greatest common right divisor  Parametric univariate polynomial matrix  Comprehensive Gr?bner system  Smith normal form  
New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 266-284
Authors:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
Favorite  |  View/Download：47/0  |  Submit date：2023/02/07
Multivariate polynomial matrices  Matrix factorization  Matrix equivalence  Column reduced minors  Gr?bner basis  
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：96/0  |  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：86/0  |  Submit date：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
Authors:  Xiao, Fanghui;  Lu, Dong;  Ma, Xiaodong;  Wang, Dingkang
Favorite  |  View/Download：109/0  |  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：101/0  |  Submit date：2020/06/30
Multivariate polynomial matrices  Matrix factorization  Reduced minors  Reduced Grobner basis