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Program Systems: Theory and Applications, 2025, Volume 16, Issue 1, Pages 45–59
DOI: https://doi.org/10.25209/2079-3316-2025-16-1-45-59
(Mi ps462)
 

Hardware, software and distributed supercomputer systems

On the implementation of QR-decomposition on a three-dimensional systolic array

V. N. Babenkoa, A. P. Nevecheryab

a Kuban State Technological University, Krasnodar, Russia
b Kuban State University, Krasnodar, Russia
References:
Abstract: Intensive data flows, formed systems of linear equations in real time, as well as systems of linear equations of large dimensionality cause the involvement of systolic arrays for their machine solution. In the presented systolic array, designed to reduce matrices to triangular form, the realization of orthogonal rotation transformations can be carried out both by two-dimensional vector rotation devices CORDIC, and its modifications. For the proposed systolic array, descriptions of its configuration, operation and technical characteristics, as well as the structure of input and output data flow are given.
Key words and phrases: systolic array, functional unit, cycle duration, data routing and scheduling, two-dimensional vector rotation unit, forward stroke.
Received: 28.11.2024
Accepted: 18.02.2025
Document Type: Article
UDC: 004.3: 004.382.2
BBC: 32.973.26-04: 22.151.51
MSC: Primary 68M20; Secondary 37E45, 68M14
Language: Russian
Citation: V. N. Babenko, A. P. Nevecherya, “On the implementation of QR-decomposition on a three-dimensional systolic array”, Program Systems: Theory and Applications, 16:1 (2025), 45–59
Citation in format AMSBIB
\Bibitem{BabNev25}
\by V.~N.~Babenko, A.~P.~Nevecherya
\paper On the implementation of QR-decomposition on a three-dimensional systolic array
\jour Program Systems: Theory and Applications
\yr 2025
\vol 16
\issue 1
\pages 45--59
\mathnet{http://mi.mathnet.ru/ps462}
\crossref{https://doi.org/10.25209/2079-3316-2025-16-1-45-59}
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