I would like to know if there is a general name for the operator $ L = (I + \alpha U V)$. I encounter this in the Householder reflection, with $\alpha = -1$ and $V = U^T$, therefore $H = (I - U U^T)$.
In general, $U$ and $V$ are vectors of the same dimension.
But in general does the above mentioned general operator $L$ have any specific names ?