Introduction
There are occasions when direct methods (like Gaussian elimination or the use of an decomposition) are not the best way to solve a system of equations. An alternative approach is to use an iterative method. In this Section we will discuss some of the issues involved with iterative methods.
Prerequisites
- revise matrices, especially the material in HELM booklet 8
- revise determinants
- revise matrix norms
Learning Outcomes
-
approximate the solutions of simple
systems of equations by iterative methods - assess convergence properties of iterative methods