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dc.contributor.authorNoutsos, D.en
dc.date.accessioned2015-11-24T17:26:19Z-
dc.date.available2015-11-24T17:26:19Z-
dc.identifier.issn0024-3795-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13182-
dc.rightsDefault Licence-
dc.subjectperron-frobenius theoremen
dc.subjectnonnegative matricesen
dc.subjectperron-frobenius splittingen
dc.subjectnonnegative matricesen
dc.subjectcomparison-theoremsen
dc.subjectsplittingsen
dc.titleOn Perron-Frobenius property of matrices having some negative entriesen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDOI 10.1016/j.laa.2005.06.037-
heal.identifier.secondary<Go to ISI>://000233945200003-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2006-
heal.abstractWe extend the theory of nonnegative matrices to the matrices that have some negative entries. We present and prove some properties which give us information, when a matrix possesses a Perron-Frobenius eigenpair. We apply also this theory by proposing the Perron-Frobenius splitting for the solution of the linear system Ax = b by classical iterative methods. Perron-Frobenius splittings constitute an extension of the well known regular splittings, weak regular splittings and nonnegative splittings. Convergence and comparison properties are given and proved. (c) 2005 Elsevier Inc. All rights reserved.en
heal.publisherElsevieren
heal.journalNameLinear Algebra and Its Applicationsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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