MNM - a novel technique for the iterative solution of matrix equations arising in the method of moments formulation

The Maxwell and Markov method (MNM), which also takes advantage of the knowledge of the previous solutions to extrapolate, though it does so in a way that is different from those of Altman and Mittra (see IEEE Transactions on Antennas and Propagation, vol.47, p.744 -51, 1999) is discussed. It is based on an estimation of the solution vector-to be used as an initial guess-derived by using the solutions at two or three previous frequencies as entire domain basis functions, following an application of Gram-Schmidt orthogonalization procedure. The computational time involved in generating the estimate is negligible when compared to that of the method of moments (MoM) matrix generation and the iterative solution, because the matrix equation to be solved for the purpose of estimation is very small-typically only two or three.