The Kaczmarz algorithm is an iterative method that solves linear systems of equations. It
stands out among iterative algorithms when dealing with large systems for two reasons …

We propose a new deterministic Kaczmarz algorithm for solving consistent linear systems.
Basically, the algorithm replaces orthogonal projections with reflections in the original …

Linear regression is effective at identifying interpretable trends in a data set, but averages
out potentially different effects on subgroups within data. We propose an iterative algorithm …

In this dissertation, we discuss two distinct topics, both of which leverage randomized
algorithms in numerical linear algebra. First we study three variants of the Kaczmarz method …

The Kaczmarz algorithm is an iterative method that solves linear systems of equations. It
stands out among iterative algorithms when dealing with large systems for two reasons …