activity
20182022
most citedA Kaczmarz Algorithm for Solving Tree Based Distributed Systems of Equations

3 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.AT2022

The Persistence Landscapes of Affine Fractals

Michael J. Catanzaro, Lee Przybylski, Eric S. Weber

We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of af…

math.NA2020

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…

math.CA2019

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…

math.FA2019

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…

math.NA2019★ 3 cited

A Kaczmarz Algorithm for Solving Tree Based Distributed Systems of Equations

Chinmay Hegde, Fritz Keinert, Eric S. Weber

The Kaczmarz algorithm is an iterative method for solving systems of linear equations. We introduce a modified Kaczmarz algorithm for solving systems of linear equations in a distr…

math.FA2018

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…