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dc.contributor.authorNoutsos, D.en
dc.contributor.authorCapizzano, S. S.en
dc.contributor.authorVassalos, P.en
dc.date.accessioned2015-11-24T17:25:46Z-
dc.date.available2015-11-24T17:25:46Z-
dc.identifier.issn1070-5325-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13095-
dc.rightsDefault Licence-
dc.subjecttwo-level toeplitz matrixen
dc.subjectconjugate gradienten
dc.subjectpreconditioningen
dc.subjectpcgen
dc.titleA preconditioning proposal for ill-conditioned Hermitian two-level Toeplitz systemsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDoi 10.1002/Nla.398-
heal.identifier.secondary<Go to ISI>://000228112200017-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2005-
heal.abstractLarge 2-level Toeplitz systems arise in many applications and thus all efficient strategy for their solution is often needed. The already known methods require the explicit knowledge of the generating function f of the considered system T-nm(f)x=b, an assumption that usually is not fulfilled in real applications. In this paper, we extend to the 2-level case a technique proposed in the literature in such a way that, from the knowledge of the coefficients of T-nm(f), we determine optimal preconditioning strategies for the solution of our systems. More precisely, we propose and analyse an algorithm for the economical computation of minimal features of f that allow us to select optimal preconditioners. Finally, we perform various numerical experiments which fully confirm the effectiveness of the proposed idea. Copyright (c) 2004 John Wiley L Sons, Ltd.en
heal.publisherWiley-Blackwellen
heal.journalNameNumerical Linear Algebra with Applicationsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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