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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:19/0  |  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:14/0  |  Submit date:2023/02/07
Multivariate polynomial matrices  Matrix factorization  Matrix equivalence  Column reduced minors  Gr?bner basis  
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:77/0  |  Submit date:2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
A new proof for the correctness of the F5 algorithm 期刊论文
中国科学:数学(英文版), 2013, 卷号: 56, 期号: 4, 页码: 745-756
Authors:  Sun Yao;  Wang DingKang
Favorite  |  View/Download:55/0  |  Submit date:2021/01/14
GROBNER BASES  Grobner basis  F5  F5B  correctness of F5  
Computing polynomial univariate representations of zero-dimensional ideals by Grobner basis 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 6, 页码: 1293-1302
Authors:  Ma XiaoDong;  Sun Yao;  Wang DingKang
Favorite  |  View/Download:48/0  |  Submit date:2021/01/14
BASES  COMPUTATION  ALGORITHMS  RESULTANTS  RUR  PUR  zero-dimensional ideals  Grobner basis  
characteristicmodulesofdualextensionsandgrbnerbases 期刊论文
actamathematicasinicaenglishseries, 2004, 卷号: 20, 期号: 6, 页码: 1119
Authors:  Xu Yunge;  Li Longcai
Favorite  |  View/Download:64/0  |  Submit date:2020/01/10