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I have two goals for this project:

To apply the principles of analysis I have learned in class to better understand the convergence behavior of the algorithm.

To use what I learn in the analysis process to develop an improved algorithm with improved convergence properties.

It is my hope that by studying iterative numerical techniques in general (and relaxation techniques more specifically) I can accomplish my first goal, and that the second will naturally follow from the first. As a starting point, I plan on studying the following references, beginning with the book by William F. Ames: [1,2,4,6,7].

Richard W. DeVaul