Kippenhahn curves of some tridiagonal matrices

2020/11/02 by Bebiano, Natália, da Providéncia, Joáo, Spitkovsky, Ilya M. +1 · 2 citations
#14H50 #15A60 #47A12 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2011.00849

Abstract

Tridiagonal matrices with constant main diagonal and reciprocal pairs of off-diagonal entries are considered. Conditions for such matrices with sizes up to 6-by-6 to have elliptical numerical ranges are obtained.

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• On the ellipticity of the higher rank numerical range
• The joint numerical range of three hermitian 4× 4 matrices

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