2 papers
math.NA2026
A Variational Equation and Lower Bound for the Linear Least-Squares Backward Error
Eric Hallman
This paper derives a new variational equation for the linear least-squares backward error by expressing the backward error in terms of a generalized eigenvalue problem and using re…
math.NA2025
Two Variations on the XTrace Algorithm
Eric Hallman
This paper studies two potential modifications of XTrace (Epperly et al., SIMAX 45(1):1-23, 2024), a randomized algorithm for estimating the trace of a matrix. The first is a varia…