Linear Algebra, Random Matrices and Lie Theory

This thesis bridges the gap between pure and applied mathematics. The first part of this thesis focuses on the theory and computation of various Lie groups. The classical Lie groups as well as the automorphism groups of the bilinear and sesquilinear forms are discussed with numerical examples. In pa...

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Bibliographic Details
Main Author: Jeong, Sungwoo
Other Authors: Edelman, Alan
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/143929
https://orcid.org/0000-0002-6201-0517