Teaching program for Eigenvalues of a Symmetric Matrix

Abstract:- From the standpoint of engineering applications, eigenvalue problems are among the most important problems in connection with matrices, and there are many research papers on corresponding numerical methods for determining eigenvalues. The objective of this article is to provide software which will aid students to understand how the processes of Jacobi’s Method, Householder Method and the QL Algorithm find the eigenvalues of symmetric matrices. Definitions and theorems of relevant concepts will be available for the user to consult at all times and detailed demonstration of step by step working of the three methods will be provided. In addition, users will be able to enter their own (symmetric) matrices and see the eigenvalues being located. XView will be used to display the progress of the computing and to provide explanatory text