Approximating solutions to nonlinear systems of equations

Abstract

In this paper I will discuss methods used to approximate solutions to nonlinear systems of equations. I do not indent this to be an exhaustive report on the problem but rather to touch methods which I have founds most interesting and most productive. Chapter I introduces the reader the the general problem and gives ideas of the many methods available for solving this problem. The next chapter deals with the development of the methods that I use for this problem along with a brief discussion of alternate methods. Chapters III and IV contain problems that are used to test the methods and results of those tests respectively. The final chapter contains conclusions based on the test results.