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Publication Detailed Description
Journal Title
Linear Algebra and its Applications
Year (definitive publication)
2019
Language
English
Country
United States of America
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Abstract
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.
Acknowledgements
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Keywords
Quaternions,Numerical range
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UID/MAT/04459/2013 | Fundação para a Ciência e a Tecnologia |
| PEst-OE/MAT/UI0212/2013 | Fundação para a Ciência e a Tecnologia |
