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Eigenvalue invariance of inhomogeneous matrix products in distributed algorithms

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dc.contributor.authorMou, Shaoshuai
dc.contributor.authorAnderson, Brian
dc.coverage.spatialMelbourne, Australia
dc.date.accessioned2021-06-11T03:23:32Z
dc.date.createdDecember 12-15,2017
dc.date.issued2017
dc.date.updated2022-10-23T07:16:42Z
dc.description.abstractThis paper 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 modelled by undirected graphs.
dc.description.sponsorshipB. D. O. Anderson...is supported by Data-61, CSIRO, and by the Australian Research Council’s Discovery Projects DP-130103610 and DP-160104500.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.isbn978-1-5090-2873-3en_AU
dc.identifier.urihttp://hdl.handle.net/1885/237296
dc.language.isoen_AUen_AU
dc.publisherIEEE
dc.relationhttp://purl.org/au-research/grants/arc/DP130103610
dc.relationhttp://purl.org/au-research/grants/arc/DP160104500
dc.relation.ispartofProceedings, 2017 IEEE 56th Annual Conference on Decision and Control (CDC)
dc.relation.ispartofseries2017 56th IEEE Conference on Decision and Control (CDC)en_AU
dc.rights© 2017 IEEE
dc.sourceProceedings, 2017 IEEE 56th Annual Conference on Decision and Control (CDC)
dc.titleEigenvalue invariance of inhomogeneous matrix products in distributed algorithms
dc.typeConference paper
local.bibliographicCitation.lastpage1035en_AU
local.bibliographicCitation.startpage1030en_AU
local.contributor.affiliationMou, Shaoshuai, Purdue Universityen_AU
local.contributor.affiliationAnderson, Brian, College of Engineering and Computer Science, ANUen_AU
local.contributor.authoruidAnderson, Brian, u8104642en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.description.refereedYes
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.ariespublicationu5786633xPUB256en_AU
local.publisher.urlhttps://www.ieee.org/en_AU
local.type.statusPublished Versionen_AU

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