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Georgia State University

1. Gordon, Crystal Monterz. The Square Root Function of a Matrix.

Degree: MS, Mathematics and Statistics, 2007, Georgia State University

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. Advisors/Committee Members: Frank Hall - Chair, Marina Arav - Chair, Michael Stewart, Zhongshan Li, Rachel Belinsky.

Subjects/Keywords: Interpolatory Polynomials; Functions of Matrices; Matrix Theory; Schur’s Theorem; Square Roots of Matrices; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Gordon, C. M. (2007). The Square Root Function of a Matrix. (Thesis). Georgia State University. Retrieved from https://scholarworks.gsu.edu/math_theses/24

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Gordon, Crystal Monterz. “The Square Root Function of a Matrix.” 2007. Thesis, Georgia State University. Accessed October 20, 2019. https://scholarworks.gsu.edu/math_theses/24.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Gordon, Crystal Monterz. “The Square Root Function of a Matrix.” 2007. Web. 20 Oct 2019.

Vancouver:

Gordon CM. The Square Root Function of a Matrix. [Internet] [Thesis]. Georgia State University; 2007. [cited 2019 Oct 20]. Available from: https://scholarworks.gsu.edu/math_theses/24.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gordon CM. The Square Root Function of a Matrix. [Thesis]. Georgia State University; 2007. Available from: https://scholarworks.gsu.edu/math_theses/24

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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