Some Constants Related to Numerical Ranges

DOI10.1137/15M1020411zbMath1376.15014arXiv1601.06159OpenAlexW2258841517MaRDI QIDQ2797109

Michel Crouzeix

Publication date: 4 April 2016

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06159

zbMATH Keywords

numerical rangecompletely boundedspectral set

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Spectral sets of linear operators (47A25)

Related Items

Variational analysis of the Crouzeix ratio ⋮ The Numerical Range is a $(1+\sqrt{2})$-Spectral Set ⋮ Bounds for \(\mathbb{A} \)-numerical radius based on an extension of \(A\)-Buzano inequality ⋮ Crouzeix's Conjecture Holds for Tridiagonal 3 x 3 Matrices with Elliptic Numerical Range Centered at an Eigenvalue ⋮ Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks ⋮ Extremality of numerical radii of tensor products of matrices ⋮ Local minimizers of the Crouzeix ratio: a nonsmooth optimization case study

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