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Numerical methods and programming, 2015, Volume 16, Issue 1, Pages 86–93 (Mi vmp521)  
This article is cited in 1 scientific paper (total in 1 paper)

Parallel forming of preconditioners based on the approximation of the Sherman-Morrison inversion formula

N. S. Nedozhogin, S. P. Kopysov, A. K. Novikov

Institute of Mechanics, Ural Branch of RAS, Izhevsk
Full-text PDF (217 kB) Citations (1)
Abstract: Acceleration of preconditioned bi-conjugate gradient stabilized (BiCGStab) methods with preconditioners based on the matrix approximation by the Sherman-Morrison inversion formula is studied. A new form of the parallel algorithm using matrix-vector products to generate preconditioning matrices is proposed. A parallelization efficiency of the most resource-intensive operations of such preconditioners on multi-core central and graphics processing units (CPUs and GPUs) is shown.
Keywords: linear systems, explicit preconditioning, Sherman-Morrison formula, parallel computing, graphics accelerators.
Received: 24.01.2015
UDC: 519.612
Language: Russian
Citation: N. S. Nedozhogin, S. P. Kopysov, A. K. Novikov, “Parallel forming of preconditioners based on the approximation of the Sherman-Morrison inversion formula”, Num. Meth. Prog., 16:1 (2015), 86–93
Citation in format AMSBIB
\Bibitem{NedKopNov15}
\by N.~S.~Nedozhogin, S.~P.~Kopysov, A.~K.~Novikov
\paper Parallel forming of preconditioners based on the approximation of the Sherman-Morrison inversion formula
\jour Num. Meth. Prog.
\yr 2015
\vol 16
\issue 1
\pages 86--93
\mathnet{http://mi.mathnet.ru/vmp521}
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  • https://www.mathnet.ru/eng/vmp/v16/i1/p86
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Numerical methods and programming
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