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dc.contributor.authorNoutsos, D.en
dc.contributor.authorCapizzano, S. S.en
dc.contributor.authorVassalos, P.en
dc.date.accessioned2015-11-24T17:21:46Z-
dc.date.available2015-11-24T17:21:46Z-
dc.identifier.issn1064-8275-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12513-
dc.rightsDefault Licence-
dc.subject2-level toeplitz matrixen
dc.subjectconjugate gradienten
dc.subjectpreconditioningen
dc.subjectpreconditioned conjugate gradienten
dc.subjectsystemsen
dc.subjectconvergenceen
dc.subjectsequencesen
dc.subjectoperatorsen
dc.subjectbehavioren
dc.titleTwo-level Toeplitz preconditioning: Approximation results for matrices and functionsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDoi 10.1137/050627046-
heal.identifier.secondary<Go to ISI>://000238325500003-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2006-
heal.abstractLarge 2-level Toeplitz systems arise in a variety of applications (see, e. g., [R. H. Chan and M. Ng, SIAM Rev., 38 (1996), pp. 427-482]) for which efficient numerical methods for their solution are required. Some successful numerical techniques need the explicit knowledge of the generating function f of the considered system T-n(f) x = b, an assumption that usually is not fulfilled in real applications. In this paper we analyze and complete the procedure proposed in [D. Noutsas, S. Serra Capizzano, and P. Vassalos, Numer. Linear Algebra Appl., 12 (2005), pp. 231-239] for the 2-level case. In such a way, from the knowledge of the coefficients of T-n(f), we determine optimal preconditioning strategies for the solution of our systems. Finally, some numerical experiments are performed and discussed in connection with our theoretical analysis.en
heal.publisherSociety for Industrial and Applied Mathematicsen
heal.journalNameSiam Journal on Scientific Computingen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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