On Some Convergence Results of the K-Step Iterative Methods
| dc.contributor.author | Galanis, S. | en |
| dc.contributor.author | Hadjidimos, A. | en |
| dc.date.accessioned | 2015-11-24T17:26:25Z | |
| dc.date.available | 2015-11-24T17:26:25Z | |
| dc.identifier.issn | 0168-9274 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13198 | |
| dc.rights | Default Licence | - |
| dc.subject | linear-systems | en |
| dc.subject | euler methods | en |
| dc.subject | matrices | en |
| dc.subject | overrelaxation | en |
| dc.subject | sor | en |
| dc.title | On Some Convergence Results of the K-Step Iterative Methods | en |
| heal.abstract | For the iterative solution of the nonsingular linear system (I - T)x = c we consider the class of monoparametric k-step methods x(m) = omega-Tx(m-1) +(1 - omega) x(m-k) + omega-c for k = 1,2,3,..., with omega being a real parameter. The main objectives of this paper are the following: (i) to determine the value of k = 1,2,3,... for which the above mentioned k-step method converges asymptotically as fast as possible under the assumption that sigma(T) is-an-element-of [alpha, beta], - infinity < alpha less-than-or-equal-to beta < 1; (ii) for a given sigma(T), not necessarily on the real axis, and for a given k greater-than-or-equal-to 3 to make an attempt toward the determination of an "optimal" omega in the sense of (i) above. Finally based on a recent result by Eiermann, Niethammer and Ruttan for the k-cyclic SOR method we discuss and suggest possible ways of extending and improving the results in (i) and (ii) above. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://A1991FM02700002 | - |
| heal.journalName | Applied Numerical Mathematics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1991 | - |
| 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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