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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 5, Pages 606–613
DOI: https://doi.org/10.17516/1997-1397-2019-12-5-606-613
(Mi jsfu797)
 

This article is cited in 2 scientific papers (total in 2 papers)

Hardware architectures of the QR-decomposition based on a Givens rotation technique

A. V. Sokolovskiy, Evgeny A. Veisov, Valery N. Tyapkin, Dmitry D. Dmitriev

Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (184 kB) Citations (2)
References:
Abstract: The fixed-point hardware architecture of the QR decomposition is constrained by a several issues that leads to decrease of a compute accuracy depending on a matrix size. In this article described the hardware architectures based on CORDIC algorithm and approximation functions. As a basis technique is used a Givens rotation technique, because it is a most suitable technique for hardware implementation.
Keywords: QR-decomposition, FPGA, CORDIC algorithm, approximation function, fixed-point arithmetic.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI57817X0247
This work was supported by the Ministry of Education and Science of the Russian Federation in the framework of the Federal target program "Research and development on priority directions of development of the scientific-technological complex of Russia for 2014-2020" (agreement no. 14.578.21.0247, unique ID project RFMEFI57817X0247).
Received: 18.03.2019
Received in revised form: 11.05.2019
Accepted: 20.07.2019
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: English
Citation: A. V. Sokolovskiy, Evgeny A. Veisov, Valery N. Tyapkin, Dmitry D. Dmitriev, “Hardware architectures of the QR-decomposition based on a Givens rotation technique”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 606–613
Citation in format AMSBIB
\Bibitem{SokVeiTya19}
\by A.~V.~Sokolovskiy, Evgeny~A.~Veisov, Valery~N.~Tyapkin, Dmitry~D.~Dmitriev
\paper Hardware architectures of the QR-decomposition based on a Givens rotation technique
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 5
\pages 606--613
\mathnet{http://mi.mathnet.ru/jsfu797}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-5-606-613}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000501589200009}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    References:20
     
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