Author

Nicholas West

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Preprint Aug 2026

LU Factorization of Discrete Random Matrices

We consider the probability that a discrete random matrix $M_n(\xi)$ is \emph{strongly non-singular}, meaning all its leading principal submatrices are non-singular. This property is equivalent to the existence of an LU factorization. We show that for any discrete random variable $\xi$ with finite support and $|\xi|_\i...

S. Mateo, John Urschel, Nicholas West · 2 citations