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Computer Optics, 2015, Volume 39, Issue 4, Pages 536–541
DOI: https://doi.org/10.18287/0134-2452-2015-39-4-536-541 (Mi co15) 		 
This article is cited in 6 scientific papers (total in 6 papers)

NUMERICAL METHODS AND ALGORITMS

Parallel implementation of a randomized regularized Kaczmarz's algorithm

A. I. Zhdanova, Yu. V. Sidorovb

a Samara State Technical University (SamSTU)
b PIHE the Samara Institute of Management
Full-text PDF (178 kB) Citations (6)
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DOI: https://doi.org/10.18287/0134-2452-2015-39-4-536-541
URL: https://www.computeroptics.smr.ru/KO/Annot/KO39-4/390414.html
Abstract: The article describes the parallel implementation of a randomized regularized Kaczmarz's algorithm. By way of illustration, the randomized parallel version of the algorithm is used for solving the Fredholm integral equation of the first kind with a perturbed right-hand side, showing that in this way the computation speed can be increased up to 4 times as compared to the sequential randomized version.
Keywords: iterative methods, regularized solutions, parallel computing, signal processing.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-12014
This work was supported by grant of RFBR "OFI M" 13-01-12014.
Received: 20.03.2015
Revised: 02.08.2015
Document Type: Article
Language: Russian
Citation: A. I. Zhdanov, Yu. V. Sidorov, “Parallel implementation of a randomized regularized Kaczmarz's algorithm”, Computer Optics, 39:4 (2015), 536–541
Citation in format AMSBIB
\Bibitem{ZhdSid15}
\by A.~I.~Zhdanov, Yu.~V.~Sidorov
\paper Parallel implementation of a randomized regularized Kaczmarz's algorithm
\jour Computer Optics
\yr 2015
\vol 39
\issue 4
\pages 536--541
\mathnet{http://mi.mathnet.ru/co15}
\crossref{https://doi.org/10.18287/0134-2452-2015-39-4-536-541}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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