We develop a real-space method for the calculation of surface electron
ic structure. The approach is based on the Linear muffin-tin orbitals
and recursive Green's function and can achieve self-consistency effici
ently. As an application, the local density of states of Fe(001) syste
m is calculated. We obtain a few surface states above and below the Fe
rmi level. The locations of these states are in good agreement with ex
perimental results.