Kenan Li

activity

20172023

most citedSome Extensions of the Crouzeix-Palencia Result

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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 $A$ which have a line segment on the boundary of the numerical range. The Crouzeix ratio is the supremum over all…

math.CV2020

On the Uniqueness of Functions that Maximize the Crouzeix Ratio

Kenan Li

Let $A$ be an $n$ by $n$ matrix with numerical range $W (A) := {q^{*} A q : q \in C^{n}, ∥ q ∥_{2} = 1}$ . We are interested in functions $f^$ that maximize $\| f(A)…

math.NA2017★ 1 cited

Some Extensions of the Crouzeix-Palencia Result

Trevor Caldwell, Anne Greenbaum, Kenan Li

In [{\em The Numerical Range is a $(1 + 2)$ -Spectral Set}, SIAM J. Matrix Anal. Appl. 38 (2017), pp.~649-655], Crouzeix and Palencia show that the numerical range of a squar…