A new efficient multiple-scattering method is proposed, which is based
on partitioning method developed by one of the authors. This method i
ncludes important multiple-scatterings in infinite order, which is sim
ilar to the finite path-by-path approach. We also obtain some symmetri
c relations and recurrence formulas of the free electron propagators G
(LL)' to reduce computation time. Some illustrative examples are shown
. For small systems convergence is easily attained, however the effici
ency is not so remarkable. For large systems the convergence is rather
slow, however it is accelerated by including the photoelectron wave d
amping. The computation time is about 5% of that for the full multiple
scattering calculation for a cluster with 27 Fe atoms. The convergenc
e is dependent on the system, whether it is closely packed or not.