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The eigenvalue problem for linear and affine iterated function systems

Barnsley, Michael; vince, Andrew

Description

The eigenvalue problem for a linear function L centers on solving the eigen-equation Lx=λx. This paper generalizes the eigenvalue problem from a single linear function to an iterated function system F consisting of possibly an infinite number of linear o

dc.contributor.authorBarnsley, Michael
dc.contributor.authorvince, Andrew
dc.date.accessioned2015-12-10T23:30:31Z
dc.identifier.issn0024-3795
dc.identifier.urihttp://hdl.handle.net/1885/68234
dc.description.abstractThe eigenvalue problem for a linear function L centers on solving the eigen-equation Lx=λx. This paper generalizes the eigenvalue problem from a single linear function to an iterated function system F consisting of possibly an infinite number of linear o
dc.publisherElsevier
dc.sourceLinear Algebra and its Applications
dc.subjectKeywords: Affine function; Compact sets; Eigen-value; Eigenvalue problem; Infinite numbers; Iterated function system; Joint spectral radius; Linear functions; Matrix algebra; Eigenvalues and eigenfunctions Eigenvalue problem; Iterated function system; Joint spectral radius
dc.titleThe eigenvalue problem for linear and affine iterated function systems
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume435
dc.date.issued2011
local.identifier.absfor010199 - Pure Mathematics not elsewhere classified
local.identifier.ariespublicationf2965xPUB1654
local.type.statusPublished Version
local.contributor.affiliationBarnsley, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationvince, Andrew, University of Florida
local.description.embargo2037-12-31
local.bibliographicCitation.startpage3124
local.bibliographicCitation.lastpage3138
local.identifier.doi10.1016/j.laa.2011.05.011
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2016-02-24T08:16:06Z
local.identifier.scopusID2-s2.0-80051584357
local.identifier.thomsonID000294531600010
CollectionsANU Research Publications

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