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math.NA2023
Numerical bounds on the Crouzeix ratio for a class of matrices
Crouzeix Michel, Greenbaum Anne, Li Kenan
We provide numerical bounds on the Crouzeix ratiofor KLS matrices which have a line segment on the boundary of the numerical range. The Crouzeix ratio is the supremum over all…
math.NA2017★ 1 cited
Some Extensions of the Crouzeix-Palencia Result
Trevor Caldwell, Anne Greenbaum, Kenan Li
In [{\em The Numerical Range is a -Spectral Set}, SIAM J. Matrix Anal. Appl. 38 (2017), pp.~649-655], Crouzeix and Palencia show that the numerical range of a squar…