A preconditioning proposal for ill-conditioned Hermitian two-level Toeplitz systems
| dc.contributor.author | Noutsos, D. | en |
| dc.contributor.author | Capizzano, S. S. | en |
| dc.contributor.author | Vassalos, P. | en |
| dc.date.accessioned | 2015-11-24T17:25:46Z | |
| dc.date.available | 2015-11-24T17:25:46Z | |
| dc.identifier.issn | 1070-5325 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13095 | |
| dc.rights | Default Licence | - |
| dc.subject | two-level toeplitz matrix | en |
| dc.subject | conjugate gradient | en |
| dc.subject | preconditioning | en |
| dc.subject | pcg | en |
| dc.title | A preconditioning proposal for ill-conditioned Hermitian two-level Toeplitz systems | en |
| heal.abstract | Large 2-level Toeplitz systems arise in many applications and thus all efficient strategy for their solution is often needed. The already known methods require the explicit knowledge of the generating function f of the considered system T-nm(f)x=b, an assumption that usually is not fulfilled in real applications. In this paper, we extend to the 2-level case a technique proposed in the literature in such a way that, from the knowledge of the coefficients of T-nm(f), we determine optimal preconditioning strategies for the solution of our systems. More precisely, we propose and analyse an algorithm for the economical computation of minimal features of f that allow us to select optimal preconditioners. Finally, we perform various numerical experiments which fully confirm the effectiveness of the proposed idea. Copyright (c) 2004 John Wiley L Sons, Ltd. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1002/Nla.398 | - |
| heal.identifier.secondary | <Go to ISI>://000228112200017 | - |
| heal.journalName | Numerical Linear Algebra with Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2005 | - |
| heal.publisher | Wiley-Blackwell | 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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