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Eigenvalues of matrices related to the octonions

dc.contributor.authorSerôdio, Rogério
dc.contributor.authorBeites, P. D.
dc.contributor.authorVitoria, Jose
dc.date.accessioned2020-02-05T16:01:23Z
dc.date.available2020-02-05T16:01:23Z
dc.date.issued2019
dc.description.abstractA 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9037
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.relation.ispartofseries16;
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectOctonionspt_PT
dc.subjectQuaternionspt_PT
dc.subjectReal matrix representationspt_PT
dc.subjectEigenvaluespt_PT
dc.titleEigenvalues of matrices related to the octonionspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00212%2F2013/PT
oaire.citation.title4Openpt_PT
oaire.citation.volume2pt_PT
oaire.fundingStream5876
person.familyNameSerôdio
person.familyNameDamas Beites
person.familyNameVitoria
person.givenNameRogério
person.givenNamePatrícia
person.givenNameJose
person.identifier.ciencia-id591A-8D9A-73CE
person.identifier.orcid0000-0002-8911-245X
person.identifier.orcid0000-0003-0266-7055
person.identifier.orcid0000-0003-3964-2425
person.identifier.ridN-8736-2014
person.identifier.ridK-5772-2017
person.identifier.scopus-author-id6506651403
person.identifier.scopus-author-id37041170800
person.identifier.scopus-author-id15735365200
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication9f86873f-5364-4413-a23d-ceab6f2372a3
relation.isAuthorOfPublication004e9ea9-0902-424d-85ab-ff616b4d778f
relation.isAuthorOfPublication.latestForDiscoveryfdb141a4-7b12-4606-a87d-bd7d2cd5ad63
relation.isProjectOfPublicationea5a2d9f-aba3-4768-a5f0-2ceb69fcf2b9
relation.isProjectOfPublication.latestForDiscoveryea5a2d9f-aba3-4768-a5f0-2ceb69fcf2b9

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