Date of Award

8-1-2014

Degree Name

Master of Science

Department

Mathematics

First Advisor

Xiao, Mingqing

Abstract

The purpose of this thesis is to examine different methods of curve-fitting through the process of nonlinear least squares. Specifically, Newton's method, Gauss Newton's method, Levenberg-Marquardt, Quasi Newton methods, and Nonlinear Conjugate Gradient method. The differing convergence rates, as well as necessary initial conditions are explored for a variety of methods. The concepts of the line search and trust region are also examined.

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