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., Diogo, C. & Mendes, S. (2019). A bridge between quaternionic and complex numerical ranges. Linear Algebra and its Applications. 581, 496-504
Exportar Referência (IEEE)
L. C. Carvalho et al.,  "A bridge between quaternionic and complex numerical ranges", in Linear Algebra and its Applications, vol. 581, pp. 496-504, 2019
Exportar BibTeX
@article{carvalho2019_1775769054773,
	author = "Carvalho, L. and Diogo, C. and Mendes, S.",
	title = "A bridge between quaternionic and complex numerical ranges",
	journal = "Linear Algebra and its Applications",
	year = "2019",
	volume = "581",
	number = "",
	doi = "10.1016/j.laa.2019.07.022",
	pages = "496-504",
	url = "https://www.sciencedirect.com/journal/linear-algebra-and-its-applications/vol/581/suppl/C"
}
Exportar RIS
TY  - JOUR
TI  - A bridge between quaternionic and complex numerical ranges
T2  - Linear Algebra and its Applications
VL  - 581
AU  - Carvalho, L.
AU  - Diogo, C.
AU  - Mendes, S.
PY  - 2019
SP  - 496-504
SN  - 0024-3795
DO  - 10.1016/j.laa.2019.07.022
UR  - https://www.sciencedirect.com/journal/linear-algebra-and-its-applications/vol/581/suppl/C
AB  - We 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. 
ER  -