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.
DOI
https://doi.org/10.57709/1059698
Recommended Citation
Smalls, Nathalie Nicholle, "The Exponential Function of Matrices." Thesis, Georgia State University, 2007.
doi: https://doi.org/10.57709/1059698