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Smith forms of circulant polynomial matrices

Telloni, Agnese Ilaria and Williams, Gerald (2014) 'Smith forms of circulant polynomial matrices.' Linear Algebra and Its Applications, 458. 559 - 572. ISSN 0024-3795

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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 > Mathematical Sciences, Department of
Depositing User: Gerald Williams
Date Deposited: 23 Jun 2014 15:39
Last Modified: 09 Nov 2020 17:15
URI: http://repository.essex.ac.uk/id/eprint/9703

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