The relation between the discrete surface Green's function matching approach of Garcia-Moliner and Velasco (Physica Scripta 34, 257 (1986)) and atom-removal or ideal construction approaches is clarified. Both approaches are shown to give identical results for an 'ideal' surface in the tight-binding approximation. Here 'ideal' is defined by the condition that the Hamiltonian matrix elements in the crystal fragment keep their bulk values.
 

Physica Scripta, 35 724-5, 1987.