Towards the determination of the optimal p-cyclic SSOR
| dc.contributor.author | Hadjidimos, A. | en |
| dc.contributor.author | Noutsos, D. | en |
| dc.contributor.author | Tzoumas, M. | en |
| dc.date.accessioned | 2015-11-24T17:21:43Z | |
| dc.date.available | 2015-11-24T17:21:43Z | |
| dc.identifier.issn | 0377-0427 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12505 | |
| dc.rights | Default Licence | - |
| dc.subject | iterative method | en |
| dc.subject | symmetric successive overrelaxation | en |
| dc.subject | p-cyclic consistently ordered matrix | en |
| dc.subject | conformal mapping | en |
| dc.subject | iterative euler methods | en |
| dc.subject | linear-systems | en |
| dc.subject | convergence domains | en |
| dc.subject | matrices | en |
| dc.subject | overrelaxation | en |
| dc.subject | sor | en |
| dc.title | Towards the determination of the optimal p-cyclic SSOR | en |
| heal.abstract | Suppose that A is an element of C-n,C- n is a block p-cyclic consistently ordered matrix and let B and S-omega denote the block Jacobi and the block symmetric successive overrelaxation (SSOR) iteration matrices associated with A, respectively. Extending previous work by Hadjidimos and Neumann, the present authors have determined the exact regions of convergence of the SSOR method in the (rho(B), omega)-plane, for any p greater than or equal to 3, under the further assumption that the eigenvalues of B-p are real of the same sign. In the present work the investigation goes on further, several questions are raised and among others the problem of the determination of the optimal regions of convergence in the spirit of Niethammer and Varga as well as that of the optimal relaxation factor are examined. (C) 1998 Elsevier Science B.V. All rights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000074001400001 | - |
| heal.journalName | Journal of Computational and Applied Mathematics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1998 | - |
| 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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