Bivariate Polynomial Matrix and Smith Form

被引：0
|
作者：
Zheng, Licui [1 ]
Wu, Tao [1 ]
Liu, Jinwang [1 ]
机构：
[1] Hunan Univ Sci & Technol, Dept Math & Comp Sci, Xiangtan 411201, Peoples R China
来源：
MATHEMATICS | 2024年 / 12卷 / 06期
基金：
中国国家自然科学基金;
关键词：
matrix equivalence; bivariate polynomial matrix; Smith form; EQUIVALENCE; FACTORIZATION; REDUCTION;
D O I：
10.3390/math12060815
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Matrix equivalence plays a pivotal role in multidimensional systems, which are typically represented by multivariate polynomial matrices. The Smith form of matrices is one of the important research topics in polynomial matrices. This article mainly investigates the Smith forms of several types of bivariate polynomial matrices and has successfully derived several necessary and sufficient conditions for matrix equivalence.
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页数：9
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