Eigenvalue Invariance of Inhomogeneous Matrix Products in Distributed Algorithms

Simple item page
dc.contributor.authorMou, Shaoshuai
dc.contributor.authorAnderson, Brian
dc.date.accessioned2021-06-11T03:14:02Z
dc.date.issued2017
dc.date.updated2022-10-23T07:16:38Z
dc.description.abstractThis letter establishes a general theorem concerning the eigenvalue invariance of certain inhomogeneous matrix products with respect to changes of individual multiplicands’ orderings. Instead of detailed entries, it is the zero-nonzero structure that matters in determining such eigenvalue invariance. The theorem is then applied in analyzing the convergence rate of a distributed algorithm for solving linear equations over networks modeled by undirected graphs.
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn2475-1456en_AU
dc.identifier.urihttp://hdl.handle.net/1885/237295
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/37771..."The Accepted Version can be archived in any Repository" from SHERPA/RoMEO site (as at 10/06/2021). © 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works
dc.publisherIEEE Control Systems Society
dc.relationhttp://purl.org/au-research/grants/arc/DP130103610
dc.relationhttp://purl.org/au-research/grants/arc/DP160104500
dc.rights© 2017 IEEE
dc.sourceIEEE Control Systems Letters
dc.subjectDistributed algorithms
dc.subjecteigenvalue invariance
dc.titleEigenvalue Invariance of Inhomogeneous Matrix Products in Distributed Algorithms
dc.typeJournal article
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue1en_AU
local.bibliographicCitation.lastpage13en_AU
local.bibliographicCitation.startpage8en_AU
local.contributor.affiliationMou, Shaoshuai, Yale Universityen_AU
local.contributor.affiliationAnderson, Brian, College of Engineering and Computer Science, ANUen_AU
local.contributor.authoruidAnderson, Brian, u8104642en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor090602 - Control Systems, Robotics and Automationen_AU
local.identifier.absseo970109 - Expanding Knowledge in Engineeringen_AU
local.identifier.absseo970108 - Expanding Knowledge in the Information and Computing Sciencesen_AU
local.identifier.ariespublicationu5357342xPUB208en_AU
local.identifier.citationvolume1en_AU
local.identifier.doi10.1109/LCSYS.2017.2698179en_AU
local.identifier.thomsonIDWOS:000658642500003
local.publisher.urlhttps://www.ieee.org/en_AU
local.type.statusAccepted Versionen_AU

Downloads

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Eigenvalue Invariance of Inhomogeneous Matrix Products_AAM.pdf
Size:
410.75 KB
Format:
Adobe Portable Document Format
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS