  We present a preconditioner for saddle point problems. The proposed
preconditioner is extracted from a stationary iterative method which is
convergent under a mild condition. Some properties of the preconditioner as
well as the eigenvalues distribution of the preconditioned matrix are
presented. The preconditioned system is solved by a Krylov subspace method like
restarted GMRES. Finally, some numerical experiments on test problems arisen
from finite element discretization of the Stokes problem are given to show the
effectiveness of the preconditioner.
