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dc.contributor.authorCharina, Maria
dc.contributor.authorConti, Costanza
dc.contributor.authorGuglielmi, Nicola
dc.contributor.authorProtasov, Vladimir
dc.date.accessioned2013-10-29T12:00:00Z
dc.date.accessioned2016-10-05T14:13:55Z
dc.date.available2013-10-29T12:00:00Z
dc.date.available2016-10-05T14:13:55Z
dc.date.issued2013-10-29
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1066
dc.descriptionResearch in Pairs 2013en_US
dc.description.abstractIn this paper we study scalar multivariate non-stationary subdivision schemes with a general integer dilation matrix. We present a new numerically efficient method for checking convergence and Hölder regularity of such schemes. This method relies on the concepts of approximate sum rules, asymptotic similarity and the so-called joint spectral radius of a finite set of square matrices. The combination of these concepts allows us to employ recent advances in linear algebra for exact computation of the joint spectral radius that have had already a great impact on studies of stationary subdivision schemes. We also expose the limitations of non-stationary schemes in their capability to reproduce and generate certain function spaces. We illustrate our results with several examples.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2013,20
dc.subjectMultivariate Non-Stationary Subdivision Schemesen_US
dc.subjectApproximate Sum Rulesen_US
dc.subjectAsymptotic Similarityen_US
dc.subjectJoint Spectral Radiusen_US
dc.titleNon-stationary multivariate subdivision: joint spectral radius and asymptotic similarityen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2013-20
local.scientificprogramResearch in Pairs 2013
local.series.idOWP-2013-20
local.subject.msc65
local.subject.msc15
local.subject.msc39
dc.identifier.urnurn:nbn:de:101:1-2013102212503
dc.identifier.ppn1653034068


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