Type of Document Master's Thesis Author Gordon, Crystal Monterz Author's Email Address crystal_m_gordon@yahoo.com URN etd-04232007-141934 Title The Square Root Function of a Matrix Degree Master of Science Department Mathematics and Statistics Advisory Committee
Advisor Name Title Frank Hall Committee Chair Marina Arav Committee Chair Michael Stewart Committee Member Rachel Belinsky Committee Member Zhongshan Li Committee Member Keywords
- Interpolatory Polynomials
- Functions of Matrices
- Matrix Theory
- Schur’s Theorem
- Square Roots of Matrices
Date of Defense 2007-04-18 Availability unrestricted 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.
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