Numerical ranges of companion matrices: flat portions on the boundary

DOI10.1080/03081087.2011.634415zbMath1262.15025arXiv1107.3070OpenAlexW2013037979MaRDI QIDQ3143336

Unnamed Author, Leiba Rodman, Ilya M. Spitkovskij

Publication date: 29 November 2012

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

Full work available at URL: https://arxiv.org/abs/1107.3070

zbMATH Keywords

numerical rangecompanion matrix

Mathematics Subject Classification ID

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

Related Items (6)

Diagonals and numerical ranges of weighted shift matrices ⋮ Pre-images of extreme points of the numerical range, and applications ⋮ Flat portions of the numerical range of a \(6 \times 6\) companion matrix ⋮ Unnamed Item ⋮ Singular points of the algebraic curves of symmetric hyperbolic forms ⋮ On the numerical ranges of some tridiagonal matrices

Cites Work

• The numerical range of \(3 \times 3\) matrices
• Numerical ranges of reducible companion matrices
• Numerical ranges of companion matrices
• Elliptic numerical ranges of \(3 \times 3\) companion matrices
• 3 x 3 matrices with a flat portion on the boundary of the numerical range
• Companion matrices: Reducibility, numerical ranges and similarity to contractions
• On flat portions on the boundary of the numerical range
• On the numerical range of a matrix
• Spectral Properties of Banded Toeplitz Matrices
• Über den Wertevorrat einer Matrix

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