Português
Ciência-IUL
Publications
Publication Detailed Description
Journal Title
Linear Algebra and its Applications
Year (definitive publication)
2021
Language
English
Country
United States of America
More Information
Web of Science®
Scopus
Google Scholar
This publication is not indexed in Google Scholar
Abstract
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.
Acknowledgements
--
Keywords
Quaternions,Numerical range,Complex matrices,Numerical radius
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| PEst-OE/MAT/UI0212/2020 | Fundação para a Ciência e a Tecnologia |
| UIDB/00315/2020 | Fundação para a Ciência e a Tecnologia |
| UID/MAT/04459/2019 | Fundação para a Ciência e a Tecnologia |
