On the exact p-cyclic SSOR convergence domains
| dc.contributor.author | Hadjidimos, A. | en |
| dc.contributor.author | Noutsos, D. | en |
| dc.contributor.author | Tzoumas, M. | en |
| dc.date.accessioned | 2015-11-24T17:26:38Z | |
| dc.date.available | 2015-11-24T17:26:38Z | |
| dc.identifier.issn | 0024-3795 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13232 | |
| dc.rights | Default Licence | - |
| dc.subject | matrices | en |
| dc.title | On the exact p-cyclic SSOR convergence domains | 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, respectively, the block Jacobi and the block symmetric successive overrelaxation (SSOR) iteration matrices associated with A. Neumaier and Varga found [in the (rho([B]),omega) plane] the exact convergence and divergence domains of the SSOR method for the class of H-matrices. Hadjidimos and Neumann applied Rouche's theorem to the functional equation connecting the eigenvalue spectra sigma(B) and sigma(S-omega) obtained by Varga, Niethammer, and Cai, and derived in the (rho(B), omega) plane the convergence domains for the SSOR method associated with p-cyclic consistently ordered matrices, for any rho greater than or equal to 3. In the present work it is further assumed that the eigenvalues of B-rho are real of the same sign. Under this assumption the exact convergence domains in the (rho(B), omega) plane are derived in both the nonnegative and the nonpositive cases for any rho greater than or equal to 3. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://A1996TQ43800011 | - |
| heal.journalName | Linear Algebra and Its Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1996 | - |
| 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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