Geodesic
Parallel decomposition version in the AISM preconditioner
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 120-126

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We propose a variant of the parallel decomposition in the formation of preconditioner based on the approximate inversion of the Sherman-Morrison. We conduct numerical experiments for solving test systems of equations using GPUs.
Keywords: solving systems of linear algebraic equations, preconditioners, parallel algorithms, graphics processing. 
@article{IIMI_2015_46_2_a15,
     author = {N. S. Nedozhogin and S. P. Kopysov and A. K. Novikov},
     title = {Parallel decomposition version in the {AISM} preconditioner},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {120--126},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a15/}
}
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N. S. Nedozhogin; S. P. Kopysov; A. K. Novikov. Parallel decomposition version in the AISM preconditioner. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 120-126. http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a15/