A Simple Algebraic Method to Solve the Matrix Equation Generated by the Method of Moments

In this work, we present a new solution procedure to solve the matrix equation generated by the well-known method of moments (MOM). The first step involves approximating the given structure via standard geometrical discretization and defining the conventional basis functions to approximate the induced current. The second step involves gathering the total number of basis functions into a small number of groups thereby casting the moment matrix into a collection of smaller matrices representing self and mutual interactions between the groups. Third, the procedure sets the matrix blocks residing on either side of the diagonal block to zero using straight-forward mathematical steps. Finally, the new matrix equation is solved efficiently using simple algebraic steps.