folded map iconOverview

  1. Solving large systems of equations using elimination can take up large amounts of computer resources. For example, at 100-equation system would yield a 100x100 matrices, meaning that 10 000 values would need to be stored for the [A] matrix alone. Iterative methods, such as the Gauss-Seidel method, re-arrange the equations and iterate through each equation until the system converges. With this method, for a 100-equation system, only 100 values need to be stored.

    To date all methods that are discussed are used to solve systems of linear equations. In reality, there are also many engineering programs that are described by a system of non-linear equations. The Newton-Raphson method is discussed here for solving these systems as well as using Microsoft Excel’s built-in Solver.

    This week contains 2 sub-modules topics including:

    1. Gauss-Seidel
    2. Systems of non-linear equations

  2. Expect to take 1.5 hours to go through this week’s content, practice materials and evaluations.

featuresLearning Objectives

At the end of this week, you will be able to:

  •  Solve an SOE with an iterative method.

  •  Identify a system of non-linear equations.

featuresEstimated time for this week: 1.5 hours