Date of Award

4-24-2007

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

First Advisor

Frank Hall - Chair

Second Advisor

Marina Arav - Chair

Third Advisor

Michael Stewart

Fourth Advisor

Zhongshan Li

Fifth Advisor

Rachel Belinsky

Abstract

Having origins in the increasingly popular Matrix Theory, the square root function of a matrix has received notable attention in recent years. In this thesis, we discuss some of the more common matrix functions and their general properties, but we specifically explore the square root function of a matrix and the most efficient method (Schur decomposition) of computing it. Calculating the square root of a 2×2 matrix by the Cayley-Hamilton Theorem is highlighted, along with square roots of positive semidefinite matrices and general square roots using the Jordan Canonical Form.

DOI

https://doi.org/10.57709/1059680

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