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Carvalho, L., Diogo, C. & Mendes, S. (2021). Quaternionic numerical range of complex matrices. Linear Algebra and its Applications. 620, 168-181
L. C. Carvalho et al., "Quaternionic numerical range of complex matrices", in Linear Algebra and its Applications, vol. 620, pp. 168-181, 2021
@article{carvalho2021_1715629399287, author = "Carvalho, L. and Diogo, C. and Mendes, S.", title = "Quaternionic numerical range of complex matrices", journal = "Linear Algebra and its Applications", year = "2021", volume = "620", number = "", doi = "10.1016/j.laa.2021.02.030", pages = "168-181", url = "https://www.sciencedirect.com/journal/linear-algebra-and-its-applications" }
TY - JOUR TI - Quaternionic numerical range of complex matrices T2 - Linear Algebra and its Applications VL - 620 AU - Carvalho, L. AU - Diogo, C. AU - Mendes, S. PY - 2021 SP - 168-181 SN - 0024-3795 DO - 10.1016/j.laa.2021.02.030 UR - https://www.sciencedirect.com/journal/linear-algebra-and-its-applications AB - This paper explores further the computation of the quaternionic numerical range of a complex matrix. We prove a modified version of a conjecture by So and Thompson. Specifically, we show that the shape of the quaternionic numerical range for a complex matrix depends on the complex numerical range and two real values. We establish under which conditions the bild of a complex matrix coincides with its complex numerical range and when the quaternionic numerical range is convex. ER -