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In this paper, a new numerical method for analyzing a general EM problem is presented and its application to analysis of wire antennas is given. In the analysis, the matrix equation resulting from a method-of-moments analysis to an EM problem is converted to another matrix equation with the matrix order being greatly reduced. To guarantee a sufficient solution accuracy, the generalized Jacobian iteration is proposed. Although the method is introduced based upon wire antenna analysis, the formulation is applicable to other kinds of EM problems equally well.