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Constructing dual integer matrices with dual integer eigenvalues

Dominik Doležel and Miroslav Kureš
Vol. 19 (2026), No. 2, 337–346
DOI: 10.2140/involve.2026.19.337
Abstract

The Towse–Campbell construction of integer matrices with integer eigenvalues is generalized for matrices over dual numbers. Some properties of eigenvalues and eigenvectors are discussed as well.

Keywords
dual numbers, dual matrices, eigenvalues, ring of integers
Mathematical Subject Classification
Primary: 15A18, 15A66, 15B36
Milestones
Received: 13 May 2024
Revised: 27 September 2024
Accepted: 6 October 2024
Published: 8 March 2026

Communicated by Chi-Kwong Li
Authors
Dominik Doležel
Gymnazium Brno, trida Kapitana Jarose
Brno
Czech Republic
Miroslav Kureš
Institute of Mathematics
Brno University of Technology
Brno
Czech Republic
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