Geodesic
Hardware architectures of the QR-decomposition based on a Givens rotation technique
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 606-613

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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: FPGA, CORDIC algorithm, approximation function, fixed-point arithmetic.
Mots-clés : QR-decomposition 
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     author = {A. V. Sokolovskiy and Evgeny A. Veisov and Valery N. Tyapkin and Dmitry D. Dmitriev},
     title = {Hardware architectures of the {QR-decomposition} based on a {Givens} rotation technique},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a8/}
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A. V. Sokolovskiy; Evgeny A. Veisov; Valery N. Tyapkin; Dmitry D. Dmitriev. Hardware architectures of the QR-decomposition based on a Givens rotation technique. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 5, pp. 606-613. http://geodesic.mathdoc.fr/item/JSFU_2019_12_5_a8/