ABSTRACT
Two fundamentally different approaches can be used to solve systems of linear algebraic equations:
I. Direct methods 2. Iterative methods
Direct methods are systematic procedures based on algebraic elimination. Several direct elimination methods, for example, Gauss elimination, are presented in Chapter 1. Iterative methods obtain the solution asymptotically by an iterative procedure in which a trial solution is assumed, the trial solution is substituted into the system of equations to determine the mismatch, or error, and an improved solution is obtained from the mismatch data. Several iterative methods, for example, successive-over-relaxation (SOR), are presented in Chapter I.
