Tall-and-skinny QR factorization with approximate Householder reflectors on graphics processors
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7036
comunitat-uji-handle3:10234/8620
comunitat-uji-handle4:
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https://doi.org/10.1007/s11227-020-03176-3 |
Metadades
Títol
Tall-and-skinny QR factorization with approximate Householder reflectors on graphics processorsData de publicació
2020-01-24Editor
SpringerCita bibliogràfica
Tomás, A.E., Quintana-Ortí, E.S. Tall-and-skinny QR factorization with approximate Householder reflectors on graphics processors. J Supercomput (2020). https://doi.org/10.1007/s11227-020-03176-3Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007%2Fs11227-020-03176-3Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
We present a novel method for the QR factorization of large tall-and-skinny matrices that introduces an approximation technique for computing the Householder vectors. This approach is very competitive on a hybrid ... [+]
We present a novel method for the QR factorization of large tall-and-skinny matrices that introduces an approximation technique for computing the Householder vectors. This approach is very competitive on a hybrid platform equipped with a graphics processor, with a performance advantage over the conventional factorization due to the reduced amount of data transfers between the graphics accelerator and the main memory of the host. Our experiments show that, for tall–skinny matrices, the new approach outperforms the code in MAGMA by a large margin, while it is very competitive for square matrices when the memory transfers and CPU computations are the bottleneck of the Householder QR factorization. [-]
Proyecto de investigación
Project TIN2017-82972-R from the MINECO (Spain) ; EU H2020 Project 732631 “OPRECOMP. Open Transprecision Computing”.Drets d'accés
© Springer Science+Business Media, LLC, part of Springer Nature 2020
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