Flat portions of the numerical range of a \(6 \times 6\) companion matrix

DOI10.1007/s43037-023-00284-zzbMath1521.15021OpenAlexW4384301705MaRDI QIDQ6135052

Unnamed Author, Riddhick Birbonshi, Sarita Ojha

Publication date: 25 July 2023

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-023-00284-z

zbMATH Keywords

numerical rangecompanion matrixflat portions

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Cites Work

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• The numerical range of \(3 \times 3\) matrices
• Numerical ranges of reducible companion matrices
• Numerical ranges of companion matrices
• Numerical range and Poncelet property.
• Companion matrices: Reducibility, numerical ranges and similarity to contractions
• On flat portions on the boundary of the numerical range
• On the polynomials with all their zeros on the unit circle
• Numerical ranges of companion matrices: flat portions on the boundary
• Numerical range ofs(φ)
• Lucas' theorem refined^∗
• Dilation to inflations of s(φ)
• Numerical Ranges of Hilbert Space Operators
• On the numerical range of a matrix

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