An iterative method of solving a system of linear equations and its physical interpretation from the point of view of scattering theory

The iterative method is useful to find the approximate solution of large systems of linear equations when the exact method becomes too expensive to be implemented. One well-known iterative method is the Gauss-Seidel method. The author presents an alternative algorithm which has certain simplicity in its formulation. He uses the system of linear equations encountered in the theory of coupled antennas to illustrate this method and give a physical interpretation of the successive approximations from the point of view of scattering theory. A simple numerical example is given to compare the products resulting from this method and those obtained by the Gauss-Seidel method