  We consider bounds on the convergence of Ritz values from a sequence of
Krylov subspaces to interior eigenvalues of Hermitean matrices. These bounds
are useful in regions of low spectral density, for example near voids in the
spectrum, as is required in many applications. Our bounds are obtained by
considering the usual Kaniel-Paige-Saad formalism applied to the shifted and
squared matrix.
