An operator relation of the USSOR and the Jacobi iteration matrices of a p-cyclic matrix
| dc.contributor.author | Noutsos, D. | en |
| dc.date.accessioned | 2015-11-24T17:21:32Z | |
| dc.date.available | 2015-11-24T17:21:32Z | |
| dc.identifier.issn | 0895-4798 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12477 | |
| dc.rights | Default Licence | - |
| dc.subject | ussor method | en |
| dc.subject | p-cyclic matrices | en |
| dc.subject | graph theory | en |
| dc.subject | matrix relationship | en |
| dc.subject | successive overrelaxation method | en |
| dc.subject | ssor | en |
| dc.title | An operator relation of the USSOR and the Jacobi iteration matrices of a p-cyclic matrix | en |
| heal.abstract | Let the Jacobi matrix B associated with the linear system Aa = b be a weakly cyclic matrix, generated by the cyclic permutation sigma = (sigma(1),sigma(2),...,sigma(p)) as this is defined by Li and Varga. The same authors derived the corresponding functional equation connecting the eigenvalues lambda of the unsymmetric successive overrelaxation (USSOR) iteration matrix T(<omega(omega)over cap>) and the eigenvalues mu of the Jacobi matrix B extending previous results by Gong and Cai. In this paper, the validity of an analogous matrix relationship connecting the operators T(<omega(omega)over cap>) and B is proved. Moreover, the ''equivalence'' of the USSOR method and a certain two-parametric p-step method for the solution of the initial system is established. The tool for the proof of our main result is elementary graph theory. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://A1996UW25000006 | - |
| heal.journalName | Siam Journal on Matrix Analysis and Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1996 | - |
| heal.publisher | Society for Industrial and Applied Mathematics | 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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