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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Noutsos, D. | en |
dc.contributor.author | Capizzano, S. S. | en |
dc.contributor.author | Vassalos, P. | en |
dc.date.accessioned | 2015-11-24T17:21:46Z | - |
dc.date.available | 2015-11-24T17:21:46Z | - |
dc.identifier.issn | 1064-8275 | - |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12513 | - |
dc.rights | Default Licence | - |
dc.subject | 2-level toeplitz matrix | en |
dc.subject | conjugate gradient | en |
dc.subject | preconditioning | en |
dc.subject | preconditioned conjugate gradient | en |
dc.subject | systems | en |
dc.subject | convergence | en |
dc.subject | sequences | en |
dc.subject | operators | en |
dc.subject | behavior | en |
dc.title | Two-level Toeplitz preconditioning: Approximation results for matrices and functions | en |
heal.type | journalArticle | - |
heal.type.en | Journal article | en |
heal.type.el | Άρθρο Περιοδικού | el |
heal.identifier.primary | Doi 10.1137/050627046 | - |
heal.identifier.secondary | <Go to ISI>://000238325500003 | - |
heal.language | en | - |
heal.access | campus | - |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
heal.publicationDate | 2006 | - |
heal.abstract | Large 2-level Toeplitz systems arise in a variety of applications (see, e. g., [R. H. Chan and M. Ng, SIAM Rev., 38 (1996), pp. 427-482]) for which efficient numerical methods for their solution are required. Some successful numerical techniques need the explicit knowledge of the generating function f of the considered system T-n(f) x = b, an assumption that usually is not fulfilled in real applications. In this paper we analyze and complete the procedure proposed in [D. Noutsas, S. Serra Capizzano, and P. Vassalos, Numer. Linear Algebra Appl., 12 (2005), pp. 231-239] for the 2-level case. In such a way, from the knowledge of the coefficients of T-n(f), we determine optimal preconditioning strategies for the solution of our systems. Finally, some numerical experiments are performed and discussed in connection with our theoretical analysis. | en |
heal.publisher | Society for Industrial and Applied Mathematics | en |
heal.journalName | Siam Journal on Scientific Computing | en |
heal.journalType | peer reviewed | - |
heal.fullTextAvailability | TRUE | - |
Appears in Collections: | Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ |
Files in This Item:
File | Description | Size | Format | |
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noutsos-2006-Two-level Toeplitz.pdf | 299.13 kB | Adobe PDF | View/Open |
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