Convexity of the joint numerical range: Topological and differential geometric viewpoints.
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Publication:1415293
DOI10.1016/j.laa.2003.06.011zbMath1050.15026OpenAlexW2002497815WikidataQ115344967 ScholiaQ115344967MaRDI QIDQ1415293
Michael Karow, Eugene Gutkin, Edmond A. Jonckheere
Publication date: 3 December 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2003.06.011
Hermitian matricesGenericityConvexitySingularityMatrix pencilFibrationEigenvalue crossingGeneralized numerical range
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Cites Work
- Subspaces of symmetric matrices containing matrices with a multiple first eigenvalue
- Differential topology of numerical range
- Differential properties of the numerical range map of pairs of matrices
- The complex structured singular value
- Perturbation theory for linear operators.
- Joint ranges of Hermitian matrices and simultaneous diagonalization
- Hermitian Forms and the Fibration of Spheres
- On the generalized numerical range
- m-form numerical range and the computation of the structured singular value
- On the convex hull of the multiform numerical range
- Generalized numerical ranges, joint positive definiteness and multiple eigenvalues
- On the crossing rule
- An exact sequence in differential topology
- Notions of convexity
- The Toeplitz-Hausdorff theorem and robust stability theory.
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