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Quasi Kronecker products and a determinant formula

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Hilberdink, T. (2018) Quasi Kronecker products and a determinant formula. Linear Algebra and its Applications, 87 (102). pp. 87-102. ISSN 0024-3795 doi: 10.1016/j.laa.2017.09.011

Abstract/Summary

We introduce an extension of the Kronecker product for matrices which retains many of the properties of the usual Kronecker product. As an application we study matrices over divisor-closed sets with multiplicative entries, and show how these are quasi Kronecker products over the primes of simpler matrices. In particular this gives a formula for the determinant of such matrices which combines and generalizes a number of previous results on Smith type determinants.

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/72527
Identification Number/DOI 10.1016/j.laa.2017.09.011
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Elsevier
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