8 citations · 10 across the 10 of their papers we have counts for
4 papers · 1 filter
Total positivity and spectral theory for Toeplitz Hessenberg matrix ensembles
Nicholas Ercolani, John Peca-Medlin, Jonathan Ramalheira-Tsu
In this paper we define and lay the groundwork for studying a novel matrix ensemble: totally positive Hessenberg Toeplitz operators, denoted TPHT. This is the intersection of two e…
Random matrix statistics and safety rest areas on interstates in the United States
Jia Cai, John Peca-Medlin, Yunke Wan
We analyze physical spacings between locations of safety rest areas on interstates in the United States. We show normalized safety rest area spacings on major interstates exhibit W…
Growth factors of orthogonal matrices and local behavior of Gaussian elimination with partial and complete pivoting
John Peca-Medlin
Gaussian elimination (GE) is the most used dense linear solver. Error analysis of GE with selected pivoting strategies on well-conditioned systems can focus on studying the behavio…
Distribution of the number of pivots needed using Gaussian elimination with partial pivoting on random matrices
John Peca-Medlin
Gaussian elimination with partial pivoting (GEPP) is a widely used method to solve dense linear systems. Each GEPP step uses a row transposition pivot movement if needed to ensure…