22 citations · 60 across the 10 of their papers we have counts for
13 papers
A bivariate extension of the Crouzeix-Palencia result with an application to Fréchet derivatives of matrix functions
Michel Crouzeix, Daniel Kressner
A result by Crouzeix and Palencia states that the spectral norm of a matrix function is bounded by times the maximum of on , the numerical range o…
Spectral sets and operator radii
Catalin Badea, Michel Crouzeix, Hubert Klaja
We study different operator radii of homomorphisms from an operator algebra into and show that these can be computed explicitly in terms of the usual norm. As an application…
Spectral Sets: Numerical Range and Beyond
Michel Crouzeix, Anne Greenbaum
We extend the proof in [M.~Crouzeix and C.~Palencia, {\em The numerical range is a -spectral set}, SIAM Jour.~Matrix Anal.~Appl., 38 (2017), pp.~649-655] to show th…
The numerical range as a spectral set
Michel Crouzeix, César Palencia
It is shown that the numerical range of a linear operator operator in a Hilbert space is a (complete) -spectral set. The proof relies, among other things, in the beha…
Some constants related to numerical ranges
Michel Crouzeix
In an attempt to progress towards proving the conjecture the numerical range W (A) is a 2--spectral set for the matrix A, we propose a study of various constants. We review some pa…
The inf-sup constant for the divergence on corner domains
Martin Costabel, Michel Crouzeix, Monique Dauge +1
The inf-sup constant for the divergence, or LBB constant, is related to the Cosserat spectrum. It has been known for a long time that on non-smooth domains the Cosserat operator ha…