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For original paper see Peterson et al. (IEEE Trans. Antennas Propag. vol.27, p.241-2, April 1996). Peterson et al. compared moment method solutions by Galerkin and non-Galerkin procedures. They point out that their results are at odds with some commonly held beliefs in the superiority of the Galerkin method. The purpose of the present comments is twofold: 1) to add support to their position and 2) to add some justification and refinement to their findings. We frame our remarks in a complex Hilbert space S, where the usual operations of addition and multiplication by a complex scalar apply.