Bivariate Polynomial Matrix and Smith Form

Licui Zheng; Tao Wu; Jinwang Liu

doi:10.3390/math12060815

journal article Open Access Mar 10, 2024

Bivariate Polynomial Matrix and Smith Form

Licui Zheng Tao Wu

Jinwang Liu

Mathematics Vol. 12 No. 6 pp. 815 · MDPI AG

View at Publisher Save 10.3390/math12060815

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.

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References

Details

Published: Mar 10, 2024
Vol/Issue: 12(6)
Pages: 815
License: View

Authors

L

Licui Zheng

Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China

T

Tao Wu

Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China

J

Jinwang Liu

Department of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China

Funding

National Natural Science Foundation of China Award: 11971161

Hunan Provincial Natural Science Foundation of China Award: 11971161

Scientific Research Fund of Hunan Province Education Department Award: 11971161

Cite This Article

Licui Zheng, Tao Wu, Jinwang Liu (2024). Bivariate Polynomial Matrix and Smith Form. Mathematics, 12(6), 815. https://doi.org/10.3390/math12060815

Bivariate Polynomial Matrix and Smith Form

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