We have calculated cross sections for the direct ionization of Be+, B2+ and
C3+ by electron impact using a small pseudo-state basis within the R-matri
x method (RMPS). On using one pseudo-state per l to represent the continuum
, close agreement with converged RMPS results is obtained at energies great
er than or similar to 3 times the ionization limit provided that the cross
sections to the pseudocontinuum are projected back onto the physical contin
uum. On using two pseudo-states per l, the close agreement is extended back
down to energies below the ionization peak, again, provided that projectio
n is used. The use of a small pseudo-state basis is necessary to describe i
onization processes in more complex systems.