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math.NA2023
Representing the Special Linear Group with Block Unitriangular Matrices
John Urschel
We prove that every element of the special linear group can be represented as the product of at most six block unitriangular matrices, and that there exist matrices for which six p…
math.NA2020
Uniform Error Estimates for the Lanczos Method
John C. Urschel
The Lanczos method is one of the most powerful and fundamental techniques for solving an extremal symmetric eigenvalue problem. Convergence-based error estimates depend heavily on…