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An Adaptive Multilevel Factorized Sparse Approximate Inverse Preconditioning
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SYSNO ASEP 0473670 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název An Adaptive Multilevel Factorized Sparse Approximate Inverse Preconditioning Tvůrce(i) Kopal, Jiří (UIVT-O) RID, SAI
Rozložník, Miroslav (UIVT-O) SAI, RID, ORCID
Tůma, Miroslav (UIVT-O) SAI, RID, ORCIDZdroj.dok. Advances in Engineering Software. - : Elsevier - ISSN 0965-9978
Roč. 113, November (2017), s. 19-24Poč.str. 6 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova approximate inverse ; Gram–Schmidt orthogonalization ; incomplete factorization ; multilevel methods ; preconditioned conjugate gradient method Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics CEP GA13-06684S GA ČR - Grantová agentura ČR Institucionální podpora UIVT-O - RVO:67985807 UT WOS 000413675600004 EID SCOPUS 85002488023 DOI 10.1016/j.advengsoft.2016.10.005 Anotace This paper deals with adaptively preconditioned iterative methods for solving large and sparse systems of linear equations. In particular, the paper discusses preconditioning where adaptive dropping reflects the quality of preserving the relation UZ=I, where U and Z are the triangular factors of A and its inverse, respectively. The proposed strategy significantly extends and refines the previously developed approach, by using a specific multilevel framework. Numerical experiments with two levels demonstrate that the new preconditioning strategy is very promising. Namely, we show a surprising fact that in our approach the Schur complement is better to form in a more sophisticated way than by a standard sparse matrix-matrix multiplication. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2018
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