ABSTRACT
The exact solution of a system of inhomogeneous linear equations can be found by using the Schmidt iterative procedure of successive approximations/relaxations as reminiscent of the Gauss–Seidel elimination technique. This method permits a natural introduction of the base-transient concept through the appearance of the same type of geometric sequences that are also encountered in the harmonic inversion problem for signal processing and in a nonlinear acceleration of series. In every iterative method one should have an initial approximation of the sought solution. This chapter shows how successive approximations of the exact solution are obtained after successive iterations.
