  Compensation of the reduction of $T_{c}$ caused by magnetic impurities has
been observed as a consequence of radiation damage. Using the recent theory by
Kim and Overhauser (KO) we consider the effect of radiation damage on the
$T_{c}$ of superconductors having magnetic impurities. We find a good fitting
to the experimental data. It is also pointed out that Gor'kov's formalism with
the pairing constraint derived from the Anomalous Green's function leads to KO
theory.
