On the semi-scalar equivalence of polynomial matrices over a field

Authors

DOI:

https://doi.org/10.31713/MCIT.2021.25

Keywords:

Polynomial matrix, Equivalence of matrices, Smith normal form.

Abstract

Polynomial matrices  and  of size  over a field  are semi-scalar equivalent if there exist a nonsingular  matrix  over  and an invertible  matrix  over  such that . The aim of the present report is to present a triangular form of some nonsingular polynomial matrices with respect to semi-scalar equivalence.

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Published

2021-11-21

Issue

No. 5 (2021): Modeling, control and information technologies: Proceedings of V International scientific and practical conference

Section

index

How to Cite

On the semi-scalar equivalence of polynomial matrices over a field. (2021). MCIT: Proceedings of International Scientific and Practical Conference, 5, 80-82. https://doi.org/10.31713/MCIT.2021.25

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