TESTING OF ITERATIVE METHODS FOR SOLVING SYSTEMS OF LINEAR EQUATIONS

Direct methods find the exact solution while solving systems of linear equations. But it requires a fixed number of iterations and subjects to round-off errors. Large linear systems require iterative methods for the solution. In this paper, the author did testing for two different iterative methods, Method of Perpendicular, and Normal to the Planes Method, for solving systems of linear equations using a structured programming language, C, and included the results in terms of iteration. Normal to the planes method shows better performance than the method of Perpendicular in terms of iteration. The methods are based on geometric intuition. They are not subject to any constraint.