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Publication Detailed Description
Journal Title
Linear Algebra and its Applications
Year (definitive publication)
2020
Language
English
Country
United States of America
More Information
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Abstract
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.
Acknowledgements
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Keywords
Quaternions,Numerical range,Star-shapedness
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UIDB/MAT/00212/2020 | Fundação para a Ciência e a Tecnologia |
| UID/MAT/04459/2019 | Fundação para a Ciência e a Tecnologia |
