  A system of equations resulting from an approximation of the equation of
motion of Green functions for correlated electron systems is usually solved
using Matsubara technique. In this work we propose an alternative method which
works entirely along the real frequency axis. Using the example of the
attractive Hubbard model studied in the T-matrix approximation both
self-consistently and non-self-consistently we demonstrate how powerful such a
treatment is especially when dynamic quantities are calculated.
