4 papers
Accelerating the Distributed Kaczmarz Algorithm by Strong Over-relaxation
Riley Borgard, Steven N. Harding, Haley Duba +4
The distributed Kaczmarz algorithm is an adaptation of the standard Kaczmarz algorithm to the situation in which data is distributed throughout a network represented by a tree. We…
Almost-nowhere intersection of Cantor sets, and sufficient sampling of their cumulative distribution functions
Allison Byars, Evan Camrud, Steven N. Harding +3
Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant measure as…
Stability of the Kaczmarz Reconstruction for Stationary Sequences
Caleb Camrud, Evan Camrud, Lee Przybylski +1
The Kaczmarz algorithm is an iterative method to reconstruct an unknown vector from inner products . We consider the problem of how additive noise a…
The Dual Kaczmarz Algorithm
Anna Aboud, Emelie Curl, Steven N. Harding +2
The Kaczmarz algorithm is an iterative method for solving a system of linear equations. It can be extended so as to reconstruct a vector in a (separable) Hilbert space from the…