A bridge between quaternionic and complex numerical ranges

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dc.contributor.authorCarvalho, L.
dc.contributor.authorDiogo, C.
dc.contributor.authorMendes, S.
dc.date.accessioned2024-03-06T16:30:01Z
dc.date.available2024-03-06T16:30:01Z
dc.date.issued2019
dc.date.updated2023-11-30T10:26:09Z
dc.description.abstractWe obtain a sufficient condition for the convexity of quaternionic numerical range for complex matrices in terms of its complex numerical range. It is also shown that the Bild coincides with complex numerical range for real matrices. From this result we derive that all real matrices have convex quaternionic numerical range. As an example we fully characterize the quaternionic numerical range of 2 x 2 real matrices.eng
dc.description.versioninfo:eu-repo/semantics/acceptedVersion
dc.identifier.citationCarvalho, L., Diogo, C., & Mendes, S. (2019). A bridge between quaternionic and complex numerical ranges. Linear Algebra and its Applications, 541, 496-504. https://dx.doi.org/10.1016/j.laa.2019.07.022
dc.identifier.doi10.1016/j.laa.2019.07.022
dc.identifier.issn0024-3795
dc.identifier.urihttp://hdl.handle.net/10071/31273
dc.language.isoeng
dc.pagination496 - 504
dc.peerreviewedyes
dc.publisherElsevier
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04459%2F2013/PT
dc.relationPEst-OE/MAT/UI0212/2013
dc.rightsopen access
dc.subjectQuaternionseng
dc.subjectNumerical rangeeng
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Matemáticaspor
dc.titleA bridge between quaternionic and complex numerical rangeseng
dc.typearticle
dc.volume581
dspace.entity.typePublicationen
iscte.alternateIdentifiers.scopus2-s2.0-85073705366
iscte.alternateIdentifiers.wosWOS:000486359300026
iscte.identifier.cienciahttps://ciencia.iscte-iul.pt/id/ci-pub-61543
iscte.journalLinear Algebra and its Applications

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