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The Importance of Structure in Incomplete Factorization Preconditioners
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SYSNO ASEP 0351679 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název The Importance of Structure in Incomplete Factorization Preconditioners Tvůrce(i) Scott, J. (GB)
Tůma, Miroslav (UIVT-O) SAI, RID, ORCIDZdroj.dok. Bit. - : Springer - ISSN 0006-3835
Roč. 51, č. 2 (2011), s. 385-404Poč.str. 20 s. Jazyk dok. eng - angličtina Země vyd. SE - Švédsko Klíč. slova sparse symmetric linear systems ; incomplete factorizations ; preconditioners ; level-based approach Vědní obor RIV BA - Obecná matematika CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000291482000008 EID SCOPUS 79958190216 DOI 10.1007/s10543-010-0299-8 Anotace In this paper, we consider level-based preconditioning, which is one of the basic approaches to incomplete factorization preconditioning of iterative methods. It is well-known that while structure-based preconditioners can be very useful, excessive memory demands can limit their usefulness. Here we present an improved strategy that considers the individual entries of the system matrix and restricts small entries to contributing to fewer levels of fill than the largest entries. Using symmetric positive-definite problems arising from a wide range of practical applications, we show that the use of variable levels of fill can yield incomplete Cholesky factorization preconditioners that are more efficient than those resulting from the standard level-based approach. Further numerical results demonstrate that our level-based approach can lead to much sparser but efficient incomplete factorization preconditioners. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2012
Počet záznamů: 1