On Stein-Rosenberg type theorems for nonnegative and Perron-Frobenius splittings
| dc.contributor.author | Noutsos, D. | en |
| dc.date.accessioned | 2015-11-24T17:26:25Z | |
| dc.date.available | 2015-11-24T17:26:25Z | |
| dc.identifier.issn | 0024-3795 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13200 | |
| dc.rights | Default Licence | - |
| dc.subject | stein-rosenberg theorem | en |
| dc.subject | nonnegative splittings | en |
| dc.subject | perron-frobenius theory | en |
| dc.subject | iterative methods | en |
| dc.subject | regular splittings | en |
| dc.subject | spectral radii | en |
| dc.subject | linear-systems | en |
| dc.subject | matrices | en |
| dc.subject | convergence | en |
| dc.title | On Stein-Rosenberg type theorems for nonnegative and Perron-Frobenius splittings | en |
| heal.abstract | The Stein-Rosenberg theorem is extended and generalized to the class of nonnegative splittings A = M-1 - N-1 = M-2 - N-2, as well as to the most generalized class of Perron-Frobenius splittings. Two types of the Stein-Rosenberg theorem are stated and proved for both classes. These theorems allow us to obtain comparison results for the rate of convergence of the associated iterative methods. Specific assumptions are given under which the inequalities of the spectral radii become equalities or strict inequalities. The theoretical results are confirmed by numerical examples. (C) 2008 Elsevier Inc. All rights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1016/j.laa.2008.05.033 | - |
| heal.identifier.secondary | <Go to ISI>://000259739100012 | - |
| heal.journalName | Linear Algebra and Its Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2008 | - |
| heal.publisher | Elsevier | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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