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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:142/0  |  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:138/0  |  提交时间:2023/02/07
Multivariate polynomial matrices  Matrix factorization  Matrix equivalence  Column reduced minors  Gr?bner basis  
Affine Spinor Decomposition in Three-Dimensional Affine Geometry 期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 页码: 35
作者:  Wu, Chengran;  Li, Hongbo
收藏  |  浏览/下载:84/0  |  提交时间:2023/02/07
spin group  spinor decomposition  affine transformation  line geometry  affine line reflection  
Quasi-equivalence of heights in algebraic function fields of one variable 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2022, 卷号: 139, 页码: 28
作者:  Feng, Ruyong;  Feng, Shuang;  Shen, Li-Yong
收藏  |  浏览/下载:142/0  |  提交时间:2023/02/07
Height  Algebraic curve  Riemann-Roch space  
On factor left prime factorization problems for multivariate polynomial matrices 期刊论文
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2021, 页码: 18
作者:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
收藏  |  浏览/下载:167/0  |  提交时间: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
作者:  Xiao Fanghui;  Lu Dong;  Wang Dingkang
收藏  |  浏览/下载:148/0  |  提交时间:2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
Rational dynamical systems, S-units, and D-finite power series 期刊论文
ALGEBRA & NUMBER THEORY, 2021, 卷号: 15, 期号: 7, 页码: 1699-1728
作者:  Bell, Jason P.;  Chen, Shaoshi;  Hossain, Ehsaan
收藏  |  浏览/下载:130/0  |  提交时间:2022/04/02
S-units  D-finite series  arithmetic dynamics  algebraic groups  orbits