Indefinite numerical range of 3×3 matrices

Teixeira, Ricardo Emanuel Cunha; Bebiano, Natália; Providência, João da

Publication

Indefinite numerical range of 3×3 matrices

2009-03-11Journal article

dc.contributor.author	Teixeira, Ricardo Emanuel Cunha
dc.contributor.author	Bebiano, Natália
dc.contributor.author	Providência, João da
dc.date.accessioned	2012-08-29T16:05:36Z
dc.date.available	2012-08-29T16:05:36Z
dc.date.issued	2009-03-11
dc.description	Copyright © 2009, Springer Netherlands.	en
dc.description.abstract	The 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.citation	Teixeira, 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.issn	0011-4642 (Print)
dc.identifier.issn	1572-9141 (Online)
dc.identifier.other	http://dx.doi.org/10.1007/s10587-009-0016-4
dc.identifier.uri	http://hdl.handle.net/10400.3/1458
dc.language.iso	eng	por
dc.peerreviewed	yes	por
dc.publisher	Springer	en
dc.relation.publisherversion	http://www.springerlink.com/content/ml70706760471077/	por
dc.subject	Indefinite Numerical Range	en
dc.subject	Indefinite Inner Product Space	en
dc.subject	Plane Algebraic Curve	en
dc.title	Indefinite numerical range of 3×3 matrices	en
dc.type	journal article
dspace.entity.type	Publication
oaire.citation.endPage	239	por
oaire.citation.issue	1	por
oaire.citation.startPage	221	por
oaire.citation.title	Czechoslovak Mathematical Journal	en
oaire.citation.volume	59	por
rcaap.rights	embargoedAccess	por
rcaap.type	article	por