Spectral Sets: Numerical Range and Beyond
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Publication:5237900
DOI10.1137/18M1198417OpenAlexW2972658560WikidataQ127243662 ScholiaQ127243662MaRDI QIDQ5237900
Michel Crouzeix, Anne Greenbaum
Publication date: 25 October 2019
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10904
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectral sets of linear operators (47A25)
Related Items (4)
A note on a spectral constant associated with an annulus ⋮ Geometric dilations and operator annuli ⋮ Between the von Neumann inequality and the Crouzeix conjecture ⋮ Some uses of the field of values in numerical analysis
Uses Software
Cites Work
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- Intersections of several disks of the Riemann sphere as \(K\)-spectral sets
- Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection
- Error Estimates and Evaluation of Matrix Functions via the Faber Transform
- From Potential Theory to Matrix Iterations in Six Steps
- Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
- Remarks on the Crouzeix--Palencia Proof that the Numerical Range is a (1+\sqrt2)-Spectral Set
- Some Extensions of the Crouzeix--Palencia Result
- Roots of Matrices in the Study of GMRES Convergence and Crouzeix's Conjecture
- The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
- The analytic capacity of sets in problems of approximation theory
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