Volume 2, 2019
Advances in Researches of Quaternion Algebras
|Number of page(s)||7|
|Section||Mathematics - Applied Mathematics|
|Published online||05 June 2019|
Eigenvalues of matrices related to the octonions
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: firstname.lastname@example.org
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.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.