On optimal improvements of classical iterative schemes for Z-matrices
| dc.contributor.author | Noutsos, D. | en |
| dc.contributor.author | Tzoumas, M. | en |
| dc.date.accessioned | 2015-11-24T17:26:16Z | |
| dc.date.available | 2015-11-24T17:26:16Z | |
| dc.identifier.issn | 0377-0427 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13176 | |
| dc.rights | Default Licence | - |
| dc.subject | jacobi and gauss-seidel iterative methods | en |
| dc.subject | diagonally dominant z and m-matrices | en |
| dc.subject | gauss-seidel method | en |
| dc.subject | linear-systems | en |
| dc.subject | convergence | en |
| dc.subject | jacobi | en |
| dc.subject | elimination | en |
| dc.subject | operators | en |
| dc.title | On optimal improvements of classical iterative schemes for Z-matrices | en |
| heal.abstract | Many researchers have considered preconditioners, applied to linear systems, whose matrix coefficient is a Z-or an M-matrix, that make the associated Jacobi and Gauss-Seidel methods converge asymptotically faster than the unpreconditioned ones. Such preconditioners are chosen so that they eliminate the off-diagonal elements of the same column or the elements of the first upper diagonal [Milaszewicz, LAA 93 (1987) 161-170], Gunawardena et al. [LAA 154-156 (1991) 123-143]. In this work we generalize the previous preconditioners to obtain optimal methods. "Good" Jacobi and Gauss-Seidel algorithms are given and preconditioners, that eliminate more than one entry per row, are also proposed and analyzed. Moreover, the behavior of the above preconditioners to the Krylov subspace methods is studied. (c) 2005 Elsevier B.V. All rights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1016/j.cam.2005.03.057 | - |
| heal.identifier.secondary | <Go to ISI>://000234789100007 | - |
| heal.journalName | Journal of Computational and Applied Mathematics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2006 | - |
| 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 |
Αρχεία
Φάκελος/Πακέτο αδειών
1 - 1 of 1
Φόρτωση...
- Ονομα:
- license.txt
- Μέγεθος:
- 1.74 KB
- Μορφότυπο:
- Item-specific license agreed upon to submission
- Περιγραφή: