Asymptotic behavior of the condition number of two-level Toeplitz matrix sequences

dc.contributor.authorNoutsos, D.en
dc.contributor.authorCapizzano, S. S.en
dc.contributor.authorVassalos, P.en
dc.date.accessioned2015-11-24T17:22:01Z
dc.date.available2015-11-24T17:22:01Z
dc.identifier.issn0024-3795-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12555
dc.rightsDefault Licence-
dc.subjecttwo-level toeplitz matrixen
dc.subjectweakly sectorial symbolen
dc.subject(asymptotic) conditioningen
dc.subjecteigenvaluesen
dc.titleAsymptotic behavior of the condition number of two-level Toeplitz matrix sequencesen
heal.abstractIn this note we give condition number estimates for two-level Toeplitz matrices generated by bivariate 2pi-periodic weakly sectorial symbols (the largest class of symbols for which we can guarantee the invertibility of all the corresponding Toeplitz matrices). By using and extending tools previously developed in the one-level context, we show that the asymptotical ill-conditioning is essentially related to the order of zeros of the symbol. (C) 2004 Elsevier Inc. All rights reserved.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDOI 10.1016/j.laa.2004.07.014-
heal.identifier.secondary<Go to ISI>://000226613500004-
heal.journalNameLinear Algebra and Its Applicationsen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2005-
heal.publisherElsevieren
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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