On some reciprocal matrices with elliptical components of their Kippenhahn curves

DOI10.1515/spma-2021-0151OpenAlexW4200582650MaRDI QIDQ2076171

Muyan Jiang, Ilya M. Spitkovskij

Publication date: 18 February 2022

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12664

zbMATH Keywords

reciprocal matrixnumerical rangeKippenhahn curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

• Elliptic numerical ranges of bordered matrices
• Higher-rank numerical ranges and compression problems
• On flat portions on the boundary of the numerical range
• On Kippenhahn curves and higher-rank numerical ranges of some matrices
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• The higher rank numerical range is convex
• On the numerical range of a matrix
• Über den Wertevorrat einer Matrix
• On some 4-by-4 matrices with bi-elliptical numerical ranges

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