Uniqueness problem on numerical ranges of 3-by-3 companion matrices

DOI10.1016/j.laa.2015.05.014zbMath1321.15040OpenAlexW213978570MaRDI QIDQ492759

Hsin-Yi Lee

Publication date: 21 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.05.014

zbMATH Keywords

uniquenessnumerical rangecompanion matrixlocations of eigenvalues

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

• Unnamed Item
• The numerical range of \(3 \times 3\) matrices
• Numerical ranges of reducible companion matrices
• Elliptic numerical ranges of \(3 \times 3\) companion matrices
• Companion matrices: Reducibility, numerical ranges and similarity to contractions
• Integers, Polynomials, and Rings