Optimum Modified Extrapolated Jacobi Method for Consistently Ordered Matrices

dc.contributor.authorYeyios, A. K.en
dc.contributor.authorPsimarni, A.en
dc.date.accessioned2015-11-24T17:27:06Z
dc.date.available2015-11-24T17:27:06Z
dc.identifier.issn0254-9409-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13310
dc.rightsDefault Licence-
dc.subjectconvergenceen
dc.titleOptimum Modified Extrapolated Jacobi Method for Consistently Ordered Matricesen
heal.abstractThis paper is concerned with the investigation of a two-parametric linear stationary iterative method, called Modified Extrapolated Jacobi (MEJ) method, for solving linear systems Ax = b, where A is a nonsingular consistently ordered 2-cyclic matrix. We give sufficient and necessary conditions for strong convergence of the MEJ method and we determine the optimum extrapolation parameters and the optimum spectral radius of it, in the case where all the eigenvalues of the block Jacobi iteration matrix associated with A are real. In the last section, we compare the MEJ with other known methods.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.secondary<Go to ISI>://A1994PE93800002-
heal.journalNameJournal of Computational Mathematicsen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate1994-
heal.publisherScience Pressen
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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