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Carvalho, L., Diogo, C. & Mendes, S. (2020). The star-center of the quaternionic numerical range. Linear Algebra and its Applications. 603, 166-185
Export Reference (IEEE)
L. C. Carvalho et al.,  "The star-center of the quaternionic numerical range", in Linear Algebra and its Applications, vol. 603, pp. 166-185, 2020
Export BibTeX
@article{carvalho2020_1716088114113,
	author = "Carvalho, L. and Diogo, C. and Mendes, S.",
	title = "The star-center of the quaternionic numerical range",
	journal = "Linear Algebra and its Applications",
	year = "2020",
	volume = "603",
	number = "",
	doi = "10.1016/j.laa.2020.05.032",
	pages = "166-185",
	url = "https://www.sciencedirect.com/science/article/pii/S0024379520302706?via%3Dihub"
}
Export RIS
TY  - JOUR
TI  - The star-center of the quaternionic numerical range
T2  - Linear Algebra and its Applications
VL  - 603
AU  - Carvalho, L.
AU  - Diogo, C.
AU  - Mendes, S.
PY  - 2020
SP  - 166-185
SN  - 0024-3795
DO  - 10.1016/j.laa.2020.05.032
UR  - https://www.sciencedirect.com/science/article/pii/S0024379520302706?via%3Dihub
AB  - In this paper we prove that the quaternionic numerical range is always star-shaped and its star-center is given by the equivalence classes of the star-center of the bild. We determine the star-center of the bild, and consequently of the numerical range, by showing that the geometrical shape of the upper part of the center is defined by two lines, tangents to the lower bild.
ER  -