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diff --git a/report/refs.bib b/report/refs.bib new file mode 100644 index 0000000..cf0a85f --- /dev/null +++ b/report/refs.bib @@ -0,0 +1,82 @@ +@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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