Linear Iterative Strategies for Information Dissemination and Processing in Distributed Systems
type: CreativeWork
description: Finally, we generalize existing theory on structured linear systems to encompass finite fields, and apply these results at various points in the thesis. Specifically, we show that certain structural properties of linear systems remain valid with high probability if the parameters are chosen from a finite field of sufficiently large size. In the process, we obtain new insights into structural properties of linear systems (such as an improved upper bound on the observability index in terms of the topology of the graph associated with the system). (Abstract shortened by UMI.).
abstract: Finally, we generalize existing theory on structured linear systems to encompass finite fields, and apply these results at various points in the thesis. Specifically, we show that certain structural properties of linear systems remain valid with high probability if the parameters are chosen from a finite field of sufficiently large size. In the process, we obtain new insights into structural properties of linear systems (such as an improved upper bound on the observability index in terms of the topology of the graph associated with the system). (Abstract shortened by UMI.).
author: Sundaram, Shreyas
language: eng
keywords: Engineering, Electronics and Electrical
date published: 2015-09-25T20:09:42Z
date modified: 2026-07-22T22:26:15Z
provider: University of Illinois - Urbana-Champaign
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Illinois at Urbana-Champaign

PropertyValue
property ID: Handle
value: http://hdl.handle.net/2142/81133