Before revision:  In the present work we present a set of preliminary results confirming this initial intuition. We provide numerical examples where opportunely selected block iterative solvers benefit from the reuse of eigenvectors by achieving a substantial speed-up.
After revision:  In the present work we present results that are in line with this intuition. First, we provide numerical examples where opportunely selected block iterative solvers benefit from the reuse of eigenvectors by achieving a substantial speed-up.