Exportar Publicação

A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA) 
Carvalho, L., Mendes, S. & Diogo, C. (2019). On the convexity and circularity of the numerical range of nilpotent quaternionic matrices. New York Journal of Mathematics. 25, 1385-1404
Exportar Referência (IEEE) 
L. C. Carvalho et al.,  "On the convexity and circularity of the numerical range of nilpotent quaternionic matrices", in New York Journal of Mathematics, vol. 25, pp. 1385-1404, 2019
Exportar BibTeX 
@article{carvalho2019_1714807730411,
	author = "Carvalho, L. and Mendes, S. and Diogo, C.",
	title = "On the convexity and circularity of the numerical range of nilpotent quaternionic matrices",
	journal = "New York Journal of Mathematics",
	year = "2019",
	volume = "25",
	number = "",
	pages = "1385-1404",
	url = "http://nyjm.albany.edu/"
}
Exportar RIS 
TY  - JOUR
TI  - On the convexity and circularity of the numerical range of nilpotent quaternionic matrices
T2  - New York Journal of Mathematics
VL  - 25
AU  - Carvalho, L.
AU  - Mendes, S.
AU  - Diogo, C.
PY  - 2019
SP  - 1385-1404
SN  - 1076-9803
UR  - http://nyjm.albany.edu/
AB  - We provide a sufficient condition for the numerical range of a nilpotent matrix N to be circular in terms of the existence of cycles in an undirected graph associated with N. We prove that if we add to this matrix N a diagonal real matrix D, the matrix D+N has convex numerical range. For 3 x 3 nilpotent matrices, we strength further our results and obtain necessary and sufficient conditions for circularity and convexity of the numerical range.
ER  -