Comparison of K-spectral set bounds on norms of functions of a matrix or operator

DOI10.1016/J.LAA.2024.04.007MaRDI QIDQ6541327

Natalie Wellen, Anne Greenbaum

Publication date: 17 May 2024

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

zbMATH Keywords

numerical rangespectral setCauchy integral formula

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectral sets of linear operators (47A25)

Cites Work

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• Perturbation of the SVD in the presence of small singular values
• Numerical conformal mapping via the Szegö kernel
• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• Finding well-conditioned similarities to block-diagonalize nonsymmetric matrices is NP-hard
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• Some Extensions of the Crouzeix--Palencia Result
• Spectral Sets: Numerical Range and Beyond
• The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
• The analytic capacity of sets in problems of approximation theory
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet

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