Implicit Hari–Zimmermann algorithm for the generalized SVD on the GPUs (CROSBI ID 286930)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Novaković, Vedran ; Singer, Sanja
engleski
Implicit Hari–Zimmermann algorithm for the generalized SVD on the GPUs
A parallel, blocked, one-sided Hari–Zimmermann algorithm for the generalized singular value decomposition (GSVD) of a real or a complex matrix pair (F, G) is here proposed, where F and G have the same number of columns, and are both of the full column rank. The algorithm targets either a single graphics processing unit (GPU), or a cluster of those, performs all non-trivial computation exclusively on the GPUs, requires the minimal amount of memory to be reasonably expected, scales acceptably with the increase of the number of GPUs available, and guarantees the reproducible, bitwise identical output of the runs repeated over the same input and with the same number of GPUs.
generalized singular value decomposition ; generalized eigendecomposition ; graphics processing units ; implicit Hari–Zimmermann algorithm ; hierarchical blocking
Rad je objavljen online 10.12.2020.
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
35 (2)
2021.
170-205
objavljeno
1094-3420
1741-2846
10.1177/1094342020972772
Povezanost rada
Matematika, Računarstvo