The implementation of the reduced gradient following (RGF) method into the
COLUMBUS quantum-chemical program system is reported using the newly
developed analytic MR-CISD/AQCC gradient feature. By this combination a very
useful tool has been developed for general searches of stationary points on
ground- and excited-state energy surfaces. This procedure is applied to the
S0 surface of H2CO and the T1 and T2 surfaces of acetylene. For H2CO we
investigated three minima (formaldehyde, s-trans and s-cis hydroxycarbene)
and five saddle points. For the T1 and T2 states of acetylene the cis- and
trans-minima and the planar  and non-planar saddle points were computed