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.
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
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\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
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\crossref{https://doi.org/10.17516/1997-1397-2019-12-5-606-613}
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Linking options:
https://www.mathnet.ru/eng/jsfu797
https://www.mathnet.ru/eng/jsfu/v12/i5/p606
This publication is cited in the following 2 articles:
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Yulia Yu. Goncharenko, Igor' N. Kartsan, “Radar stations as a means of ensuring the security of critical information infrastructure”, Siberian Aerospace Journal, 24:1 (2023), 90
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