Elliptic numerical ranges of \(3 \times 3\) companion matrices

DOI10.1016/j.laa.2007.12.018zbMath1144.15017OpenAlexW2023078429MaRDI QIDQ924345

William Calbeck

Publication date: 15 May 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.12.018

zbMATH Keywords

companion matrixpolynomialelliptic numerical range

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Polynomials in real and complex fields: factorization (12D05)

Related Items (4)

Which set is the numerical range of an operator? ⋮ Uniqueness problem on numerical ranges of 3-by-3 companion matrices ⋮ Lucas' theorem and numerical range ⋮ Numerical ranges of companion matrices: flat portions on the boundary

Cites Work

• Unnamed Item
• The numerical range of \(3 \times 3\) matrices
• Companion matrices: Reducibility, numerical ranges and similarity to contractions
• Elliptic numerical ranges of \(4\times 4\) matrices
• On the number of zeros of certain rational harmonic functions
• Über den Wertevorrat einer Matrix

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