Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils

DOI10.1016/S0024-3795(97)00251-6zbMath0929.15024WikidataQ123148580 ScholiaQ123148580MaRDI QIDQ1377516

Chi-Kwong Li, Ilya Spitkowsky, Sudheer Shukla

Publication date: 23 February 1999

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

zbMATH Keywords

positive definite matricesnumerical rangejoint spectral radiuscounterexamplesHermitian pencilsRota's theoremJohn's ellipsoid methodoptimal joint spectral radius rangesimultaneous contractibility

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrix pencils (15A22)

Related Items

On flat portions on the boundary of the numerical range ⋮ Inverse continuity on the boundary of the numerical range ⋮ Indecomposable matrices defining plane cubics ⋮ Introduction to C-numerical ranges and C-radii of quaternion matrices ⋮ Burnside graphs, algebras generated by sets of matrices, and the Kippenhahn conjecture ⋮ Examples for the quantum Kippenhahn theorem ⋮ Elliptic modular invariants and numerical ranges ⋮ Equality of higher-rank numerical ranges of matrices ⋮ On eigenvalues and boundary curvature of the numerical range ⋮ Continuity properties of vectors realizing points in the classical field of values

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