| Issue |
4open
Volume 2, 2019
Advances in Researches of Quaternion Algebras
|
|
|---|---|---|
| Article Number | 16 | |
| Number of page(s) | 7 | |
| Section | Mathematics - Applied Mathematics | |
| DOI | https://doi.org/10.1051/fopen/2019014 | |
| Published online | 05 June 2019 | |
Research Article
Eigenvalues of matrices related to the octonions
1
Departamento de Matemática and CMA-UBI, Universidade da Beira Interior, 6201-001 Covilhã, Portugal
2
Departamento de Matemática, Universidade de Coimbra, 3004-531 Coimbra, Portugal
* Corresponding author: rserodio@ubi.pt
Received:
29
December
2018
Accepted:
20
April
2019
A pseudo real matrix representation of an octonion, which is based on two real matrix representations of a quaternion, is considered. We study how some operations defined on the octonions change the set of eigenvalues of the matrix obtained if these operations are performed after or before the matrix representation. The established results could be of particular interest to researchers working on estimation algorithms involving such operations.
Mathematics Subject Classification: 11R52 / 15A18
Key words: Octonions / Quaternions / Real matrix representations / Eigenvalues
© R. Serôdio et al., Published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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