  The solution of the Ornstein-Zernike equation with various closure
approximations is studied. This problem is rewritten as an integral equation
that can be solved iteratively on a grid. The convergence of the fixed point
iterations is relatively slow. We consider transformations of the sequence of
solution vectors using non-linear sequence transformations, so-called vector
extrapolation processes. An example is the vector J transformation. The
transformed vector sequences turn out to converge considerably faster than the
original sequences.
