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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:102/0  |  提交时间: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
作者:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
收藏  |  浏览/下载:97/0  |  提交时间: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
作者:  Xiao Fanghui;  Lu Dong;  Wang Dingkang
收藏  |  浏览/下载:117/0  |  提交时间:2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
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
作者:  Ma XiaoDong;  Sun Yao;  Wang DingKang
收藏  |  浏览/下载:91/0  |  提交时间: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
作者:  Xu Yunge;  Li Longcai
收藏  |  浏览/下载:94/0  |  提交时间:2020/01/10