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The progressive numerical method (PNM) is an effective way of dealing with electromagnetic scattering by electrically large objects. The PNM is based on the moment methods (MM). It is known that the solutions of the electric or magnetic field integral equations, using the MM, can be reduced to a matrix equation. The process of the PNM is started by selecting a small region at the centre of the illuminated side of the scatterer to reduce the interactions from the remaining sections of the object. However it is usually difficult to do so for asymmetrical scatterers. It is also noted that the accuracy of the solutions for the TE case is poorer than that of the TM case. This is due to the fact that for the TE case the induced currents are circumferential. An iterative step is incorporated with the PNM for better accuracy. To examine the behavior of the solution using iterative PNM, a perfect conducting infinite rectangular cylinder (TM case) is assumed.