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Iterative Methods for Solving \(A\mathbf{x} = b\)

Module with 2 tutorials, with exercises and a Java applet, for iterative solution methods

Identifier: 
http://faculty.pepperdine.edu/dstrong/Java/IterativeMethods/
Rating: 
Average: 5 (2 votes)
Creator(s): 
David M. Strong
Cataloger: 
David Strong
Publisher: 
Pepperdine University
Rights: 
David M. Strong
Format Other: 
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Comments

Anonymous's picture

This module contains a well-written introduction to numerical solution of systems of linear equations and a Java applet. The text has a two-part tutorial on the Jacobi and Gauss-Seidel methods, convergence analysis, and the SOR method. Homework exercises are included. The applet allows the user to input the 2x2 coefficient matrix A and constant vector b in R^2 for the system Ax=b, to make an initial guess at the solution, and to input which of the three methods the user wishes to use. The applet then computes a single iteration of the selected methods and allows the user to continue iteration by iteration. A graph displays the sequence of approximate solutions as points in R^2 along with the exact solution to the system.
meade's picture

An applet for iterative solution methods (Jacobi, Gauss-Seidel, and SOR) is a rare find. The graphics can help one learn about the geometric features of these methods. It is unfortunate that the applet is limited to \(2\times2\) systems. A version for higher systems (without the graphics) would be a nice addition.

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