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Carvalho, L., Diogo, C. & Mendes, S. (2019). A bridge between quaternionic and complex numerical ranges. Linear Algebra and its Applications. 581, 496-504
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
@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"
}
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 -
English