Kennett L. Dela Rosa

collaborators

2 papers

math.RA2024

On commutators of unipotent matrices of index 2

Kennett L. Dela Rosa, Juan Paolo C. Santos

A commutator of unipotent matrices of index 2 is a matrix of the form $X Y X^{- 1} Y^{- 1}$ , where $X$ and $Y$ are unipotent matrices of index 2, that is, $X \neq = I_{n}$ , $Y \neq = I_{n}$ , and $(…

math.FA2020

Location of Ritz values in the numerical range of normal matrices

Kennett L. Dela Rosa, Hugo J. Woerdeman

Let $μ_{1}$ be a complex number in the numerical range $W (A)$ of a normal matrix $A$ . In the case when no eigenvalues of $A$ lie in the interior of $W (A)$ , we identify the smallest c…