Relativistic,distorted-wave cross sections are calculated for electron
-impact ionization from the 21 subshells with n = 3, 4, and 5 in sever
al types of ions. Based on these results and the general, but very sim
ple form for the cross section derived by Sampson and Zhang [Phys. Rev
. A 45, 1657 (1992)] a very rapid, but quite accurate method using fit
s to the reduced cross sections is given. This applies to highly charg
ed ions with any degree of complexity and should be very convenient fo
r use in plasma modeling. The procedure is illustrated by application
to inner-shell ionization of Cu-like gold ions, where good agreement i
s obtained with detailed direct relativistic distorted-wave calculatio
ns.