Export Publication
The publication can be exported in the following formats: APA (American Psychological Association) reference format, IEEE (Institute of Electrical and Electronics Engineers) reference format, BibTeX and RIS.
Carvalho, L., Diogo, C. & Mendes, S. (2020). The star-center of the quaternionic numerical range. Linear Algebra and its Applications. 603, 166-185
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
@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" }
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 -