8 citations · 31 across the 14 of their papers we have counts for
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math-ph2023
Nodal decompositions of a symmetric matrix
Theo McKenzie, John Urschel
Analyzing nodal domains is a way to discern the structure of eigenvectors of operators on a graph. We give a new definition extending the concept of nodal domains to arbitrary sign…
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.NA2023
Some New Results on the Maximum Growth Factor in Gaussian Elimination
Alan Edelman, John Urschel
This paper combines modern numerical computation with theoretical results to improve our understanding of the growth factor problem for Gaussian elimination. On the computational s…