Partial isospectrality of a matrix pencil and circularity of the \(c\)-numerical range

DOI10.1016/j.laa.2024.02.021MaRDI QIDQ6131338

M. van Straaten, Hugo J. Woerdeman, Alma van der Merwe

Publication date: 5 April 2024

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

zbMATH Keywords

\(c\)-numerical rangesymmetric polynomialsmatrix pencilisospectraltrace polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Matrix pencils (15A22)

Cites Work

• Unnamed Item
• Reduction of the \(c\)-numerical range to the classical numerical range
• Higher-rank numerical ranges and compression problems
• When is the numerical range of a nilpotent matrix circular?
• The invariant theory of \(n\times n\) matrices
• Circularity of the numerical range
• Positive univariate trace polynomials
• Optimization over trace polynomials
• Isospectrality and matrices with concentric circular higher rank numerical ranges
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• C-numerical ranges andC-numerical radii
• Boolean Product Polynomials, Schur Positivity, and Chern Plethysm
• Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges
• RelativeC-numerical ranges for applications in quantum control and quantum information
• Geometry of higher-rank numerical ranges
• The higher rank numerical range is convex
• Matrices with Circular Symmetry on their Unitary Orbits and C-Numerical Ranges

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