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Indefinite numerical range of 3×3 matrices

2009-03-11Artigo científico Acesso restrito
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dc.contributor.authorTeixeira, Ricardo Emanuel Cunha
dc.contributor.authorBebiano, Natália
dc.contributor.authorProvidência, João da
dc.date.accessioned2012-08-29T16:05:36Z
dc.date.available2012-08-29T16:05:36Z
dc.date.issued2009-03-11
dc.descriptionCopyright © 2009, Springer Netherlands.en
dc.description.abstractThe point equation of the associated curve of the indefinite numerical range is derived, following Fiedler’s approach for definite inner product spaces. The classification of the associated curve is presented in the 3 × 3 indefinite case, using Newton’s classification of cubic curves. Illustrative examples of all the different possibilities are given. The results obtained extend to Krein spaces results of Kippenhahn on the classical numerical range.en
dc.identifier.citationTeixeira, Ricardo; Bebiano, Natália; Providência, João da. (2009). «Indefinite numerical range of 3×3 matrices», "Czechoslovak Mathematical Journal", 59, nº 1, 221-239.por
dc.identifier.issn0011-4642 (Print)
dc.identifier.issn1572-9141 (Online)
dc.identifier.otherhttp://dx.doi.org/10.1007/s10587-009-0016-4
dc.identifier.urihttp://hdl.handle.net/10400.3/1458
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringeren
dc.relation.publisherversionhttp://www.springerlink.com/content/ml70706760471077/por
dc.subjectIndefinite Numerical Rangeen
dc.subjectIndefinite Inner Product Spaceen
dc.subjectPlane Algebraic Curveen
dc.titleIndefinite numerical range of 3×3 matricesen
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage239por
oaire.citation.issue1por
oaire.citation.startPage221por
oaire.citation.titleCzechoslovak Mathematical Journalen
oaire.citation.volume59por
rcaap.rightsembargoedAccesspor
rcaap.typearticlepor

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