Bivariate Polynomial Matrix and Smith Form

Licui Zheng, Tao Wu and Jinwang Liu ()
Additional contact information
Licui Zheng: Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China
Tao Wu: Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China
Jinwang Liu: Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China

Mathematics, 2024, vol. 12, issue 6, 1-9

Abstract: 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.

Keywords: matrix equivalence; bivariate polynomial matrix; Smith form (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/6/815/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/6/815/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:6:p:815-:d:1354584

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().