In this communication we study the convergence of the augmented-space
recursion and illustrate the errors produced because of using only a f
inite part of the full augmented space and termination of the recursio
n after a finite number of steps. We illustrate this by using a TB-LMT
O-based augmented-space formalism for a 50-50 AgPd alloy and studying
how the moments of the density of states, the Fermi energy and the ban
d energy converge.