On some 4-by-4 matrices with bi-elliptical numerical ranges

DOI10.1080/03081087.2020.1857326zbMath1473.15027arXiv2009.00272OpenAlexW3111921330MaRDI QIDQ5858698

Titas Geryba, Ilya M. Spitkovskij

Publication date: 14 April 2021

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

Full work available at URL: https://arxiv.org/abs/2009.00272

zbMATH Keywords

reciprocal matrixnumerical rangebi-elliptical shape

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Canonical forms, reductions, classification (15A21)

Related Items (2)

On the convergence of some spectral characteristics of the converging operator sequences ⋮ On some reciprocal matrices with elliptical components of their Kippenhahn curves

Cites Work

• Elliptic numerical ranges of bordered matrices
• The numerical range of \(3 \times 3\) matrices
• On flat portions on the boundary of the numerical range
• Elliptic numerical ranges of \(4\times 4\) matrices
• Singular points of the ternary polynomials associated with 4-by-4 matrices
• Line segments and elliptic arcs on the boundary of a numerical range
• On the numerical range of a matrix
• Über den Wertevorrat einer Matrix
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• Unnamed Item

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