Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/20172
Author(s): | Carvalho, L. Mendes, S. Diogo, C. |
Date: | 2019 |
Title: | On the convexity and circularity of the numerical range of nilpotent quaternionic matrices |
Volume: | 25 |
Pages: | 1385 - 1404 |
ISSN: | 1076-9803 |
Keywords: | Quaternions Numerical range Nilpotent matrix |
Abstract: | We provide a sufficient condition for the numerical range of a nilpotent matrix N to be circular in terms of the existence of cycles in an undirected graph associated with N. We prove that if we add to this matrix N a diagonal real matrix D, the matrix D+N has convex numerical range. For 3 x 3 nilpotent matrices, we strength further our results and obtain necessary and sufficient conditions for circularity and convexity of the numerical range. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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25-56v.pdf | Versão Editora | 388,5 kB | Adobe PDF | View/Open |
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