Date of Award

11-28-2007

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

First Advisor

Marina Arav - Chair

Second Advisor

Rachel Belinsky

Third Advisor

Michael Stewart

Fourth Advisor

Zhongshan Li

Fifth Advisor

Frank Hall

Abstract

The matrix exponential is a very important subclass of functions of matrices that has been studied extensively in the last 50 years. In this thesis, we discuss some of the more common matrix functions and their general properties, and we specifically explore the matrix exponential. In principle, the matrix exponential could be computed in many ways. In practice, some of the methods are preferable to others, but none are completely satisfactory. Computations of the matrix exponential using Taylor Series, Scaling and Squaring, Eigenvectors, and the Schur Decomposition methods are provided.

Included in

Mathematics Commons

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