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      Eigenvalues of matrices related to the octonions

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          Abstract

          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.

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          Most cited references 3

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          Matrix representations of octonions and their applications

           Yongge Tian (2000)
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            On skew-symmetric matrices related to the vector cross product in R 7

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              The geometry of hypercomplex matrices

               FS Leite (1993)
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                Author and article information

                Contributors
                Role: Guest Editor
                Journal
                fopen
                https://www.4open-sciences.org
                4open
                4open
                EDP Sciences
                2557-0250
                05 June 2019
                05 June 2019
                2019
                : 2
                : ( publisher-idID: fopen/2019/01 )
                Affiliations
                [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,
                Author notes
                [* ]Corresponding author: rserodio@ 123456ubi.pt
                Article
                fopen180050
                10.1051/fopen/2019014
                © 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.

                Counts
                Figures: 0, Tables: 0, Equations: 180, References: 4, Pages: 7
                Product
                Self URI (journal page): https://www.4open-sciences.org/
                Categories
                Mathematics - Applied Mathematics
                Research Article
                Advances in Researches of Quaternion Algebras
                Custom metadata
                4open 2019, 2, 16
                2019
                2019
                2019

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