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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 6, Pages 940–957 (Mi zvmmf4698)  
This article is cited in 1 scientific paper (total in 1 paper)

Post-filtering of IC2-factors for load balancing in parallel preconditioning

I. E. Kaporin, I. N. Kon'shin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
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Abstract: A modification is proposed for the second order incomplete Cholesky decomposition (IC2). It makes possible to design a preconditioning procedure for the conjugate gradient method (CGM) with a controllable fill-in in the preconditioner. The modified algorithm is used to develop a load-balancing parallel preconditioning for CGM as applied to linear systems with symmetric positive definite matrices. Numerical results obtained using a multiprocessor computer system are presented.
Key words: post-filtering, IC2-decomposition, parallel preconditioning, conjugate gradient method.
Received: 21.10.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 6, Pages 901–918
DOI: https://doi.org/10.1134/S0965542509060025
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: I. E. Kaporin, I. N. Kon'shin, “Post-filtering of IC2-factors for load balancing in parallel preconditioning”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009), 940–957; Comput. Math. Math. Phys., 49:6 (2009), 901–918
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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