From 0fbccda615fa0b15b048b5723e5bfb359f95cd9a Mon Sep 17 00:00:00 2001
From: Connor Moore <connor@hhmoore.ca>
Date: Sat, 25 Apr 2026 17:47:35 -0400
Subject: Initial commit with code and start of report

---
 report/refs.bib | 82 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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+@book{novak2022,
+    year = {2022},
+    author = {Kyle A. Novak},
+    isbn = {9798985421804},
+    title = {Numerical Methods for Scientific Computing},
+    note = {Chapter 4},
+    month = {March},
+    publisher = {Equal Share Press},
+    address = {Sharon, Vermont},
+}
+
+@book{watkins2002,
+    title = {Fundamenals of Matrix Computations (2nd Edition)},
+    month = {January},
+    address = {New York},
+    year = {2002},
+    author = {David S. Watkins},
+    isbn = {0471213942},
+    note = {Chapter 5},
+    publisher = {John Wiley and Sons},
+}
+
+@article{golub2009The_QR,
+    pages = {467-485},
+    issn = {1464-3642},
+    number = {3},
+    doi = {10.1093/imanum/drp012},
+    publisher = {Oxford University Press (OUP)},
+    volume = {29},
+    title = {{The QR Algorithm: 50 Years Later its Genesis by John Francis and Vera Kublanovskaya and Subsequent Developments}},
+    journal = {IMA Journal of Numerical Analysis},
+    month = {June},
+    author = {Golub, G. and Uhlig, F.},
+    note = {},
+    url = {http://dx.doi.org/10.1093/imanum/drp012},
+    year = {2009},
+}
+
+@article{wigner1955Charac,
+    number = {3},
+    publisher = {JSTOR},
+    pages = {548},
+    url = {http://dx.doi.org/10.2307/1970079},
+    title = {{Characteristic Vectors of Bordered Matrices With Infinite Dimensions}},
+    doi = {10.2307/1970079},
+    journal = {The Annals of Mathematics},
+    issn = {0003-486X},
+    year = {1955},
+    volume = {62},
+    author = {Wigner, Eugene P.},
+}
+
+@book{anderson2009An_Int,
+    isbn = {9781107471580},
+    author = {Anderson, Greg W. and Guionnet, Alice and Zeitouni, Ofer},
+    month = {February},
+    publisher = {Cambridge University Press},
+    doi = {10.1017/cbo9780511801334},
+    url = {http://dx.doi.org/10.1017/CBO9780511801334},
+    note = {Chapters 1 and 2},
+    title = {{An Introduction to Random Matrices}},
+    year = {2009},
+}
+
+@misc{marco2013,
+    author = {Marco},
+    title = {{Approximation for the Tracy-Widom Laws}},
+    year = {2013},
+    howpublished = {Published to the MATLAB Central File Exchange},
+    note = {Retrieved April 25th, 2026. \href{https://www.mathworks.com/matlabcentral/fileexchange/44711-approximation-for-the-tracy-widom-laws}{Available online.}},
+}
+
+@article{chiani2012Distri,
+    doi = {10.48550/ARXIV.1209.3394},
+    url = {https://arxiv.org/abs/1209.3394},
+    author = {Chiani, Marco},
+    keywords = {Information Theory (cs.IT), Statistics Theory (math.ST), FOS: Computer and information sciences, FOS: Computer and information sciences, FOS: Mathematics, FOS: Mathematics},
+    title = {{Distribution of the Largest Eigenvalue for Real Wishart and Gaussian Random Matrices and a Simple Approximation for the Tracy-Widom Distribution}},
+    publisher = {arXiv},
+    copyright = {arXiv.org perpetual, non-exclusive license},
+    year = {2012},
+}
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