Telloni, Agnese Ilaria and Williams, Gerald (2014) Smith forms of circulant polynomial matrices. Linear Algebra and Its Applications, 458. pp. 559-572. DOI https://doi.org/10.1016/j.laa.2014.06.032
Telloni, Agnese Ilaria and Williams, Gerald (2014) Smith forms of circulant polynomial matrices. Linear Algebra and Its Applications, 458. pp. 559-572. DOI https://doi.org/10.1016/j.laa.2014.06.032
Telloni, Agnese Ilaria and Williams, Gerald (2014) Smith forms of circulant polynomial matrices. Linear Algebra and Its Applications, 458. pp. 559-572. DOI https://doi.org/10.1016/j.laa.2014.06.032
Abstract
We obtain the Smith normal forms of a class of circulant polynomial matrices (λ-matrices) in terms of their “associated polynomials” when these polynomials do not have repeated roots. We apply this to the case when the associated polynomials are products of cyclotomic polynomials and show that the entries of the Smith normal form are products of cyclotomics.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Smith normal form; Circulant matrix; Polynomial matrix |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 23 Jun 2014 15:39 |
| Last Modified: | 30 Oct 2024 20:43 |
| URI: | http://repository.essex.ac.uk/id/eprint/9703 |
Available files
Filename: TelloniWilliams-SmithFormsCirculants.pdf