Eigenvalues of matrices related to the octonions

Detalhes bibliográficos
Autor(a) principal: Serôdio, Rogério
Data de Publicação: 2019
Outros Autores: Beites, P. D., Vitoria, Jose
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9037
Resumo: A pseudo real matrix representation of an octonion, which is based on two real matrix represen- tations 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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spelling Eigenvalues of matrices related to the octonionsOctonionsQuaternionsReal matrix representationsEigenvaluesA pseudo real matrix representation of an octonion, which is based on two real matrix represen- tations 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.uBibliorumSerôdio, RogérioBeites, P. D.Vitoria, Jose2020-02-05T16:01:23Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9037enginfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:49:38Zoai:ubibliorum.ubi.pt:10400.6/9037Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:17.363393Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Eigenvalues of matrices related to the octonions
title Eigenvalues of matrices related to the octonions
spellingShingle Eigenvalues of matrices related to the octonions
Serôdio, Rogério
Octonions
Quaternions
Real matrix representations
Eigenvalues
title_short Eigenvalues of matrices related to the octonions
title_full Eigenvalues of matrices related to the octonions
title_fullStr Eigenvalues of matrices related to the octonions
title_full_unstemmed Eigenvalues of matrices related to the octonions
title_sort Eigenvalues of matrices related to the octonions
author Serôdio, Rogério
author_facet Serôdio, Rogério
Beites, P. D.
Vitoria, Jose
author_role author
author2 Beites, P. D.
Vitoria, Jose
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Serôdio, Rogério
Beites, P. D.
Vitoria, Jose
dc.subject.por.fl_str_mv Octonions
Quaternions
Real matrix representations
Eigenvalues
topic Octonions
Quaternions
Real matrix representations
Eigenvalues
description A pseudo real matrix representation of an octonion, which is based on two real matrix represen- tations 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.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
2020-02-05T16:01:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/9037
url http://hdl.handle.net/10400.6/9037
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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