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Diogo, C., Mendes, S. & Carvalho, L. (2020). A bridge between quaternionic and complex numerical ranges. New Trends in Quaternions and Octonions.
C. I. Diogo et al., "A bridge between quaternionic and complex numerical ranges", in New Trends in Quaternions and Octonions, Guarda, 2020
@misc{diogo2020_1715475740477, author = "Diogo, C. and Mendes, S. and Carvalho, L.", title = "A bridge between quaternionic and complex numerical ranges", year = "2020", howpublished = "Digital", url = "http://w3.math.uminho.pt/NTQO2020/schedule.html" }
TY - CPAPER TI - A bridge between quaternionic and complex numerical ranges T2 - New Trends in Quaternions and Octonions AU - Diogo, C. AU - Mendes, S. AU - Carvalho, L. PY - 2020 CY - Guarda UR - http://w3.math.uminho.pt/NTQO2020/schedule.html 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 2×2 real matrices. ER -