Kennett L. Dela Rosa

activity

20202026

collaborators

3 papers

math.FA2026

Schur-Horn theorem and Ky Fan's minimum principle for symplectic eigenvalues

Kennett L. Dela Rosa, Aedan Jarrod A. Potot

The symplectic analogues of Schur's theorem and Ky Fan's minimum principle are shown to be equivalent. Moreover, the symplectic Schur's and Horn's theorems are extended to generali…

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…