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http://hdl.handle.net/10071/20172
acessibilidade
Title: On the convexity and circularity of the numerical range of nilpotent quaternionic matrices
Authors: Carvalho, L.
Mendes, S.
Diogo, C.
Keywords: Quaternions
Numerical range
Nilpotent matrix
Issue Date: 2019
Publisher: University at Albany
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.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/20172
ISSN: 1076-9803
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-64430
Accession number: WOS:000505566900001
Appears in Collections:BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica

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