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@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/} }
TY - JOUR AU - N. S. Nedozhogin AU - S. P. Kopysov AU - A. K. Novikov TI - Parallel decomposition version in the AISM preconditioner JO - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta PY - 2015 SP - 120 EP - 126 VL - 46 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a15/ LA - ru ID - IIMI_2015_46_2_a15 ER -
%0 Journal Article %A N. S. Nedozhogin %A S. P. Kopysov %A A. K. Novikov %T Parallel decomposition version in the AISM preconditioner %J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta %D 2015 %P 120-126 %V 46 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a15/ %G ru %F IIMI_2015_46_2_a15
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/
[1] Saad Y., Iterative methods for sparse linear systems, SIAM, 2003, xviii+528 pp. | MR | Zbl
[2] Benzi M., “Preconditioning techniques for large linear systems: a survey”, Journal of Computational Physics, 182:2 (2002), 418–477 | DOI | MR | Zbl
[3] Kolotilina L. Yu., Yeremin A. Yu., “Factorized sparse approximate inverse preconditionings. I: Theory”, SIAM Journal on Matrix Analysis and Applications, 14:1 (1993), 45–58 | DOI | MR | Zbl
[4] Grote M., Huckle T., “Parallel preconditioning with sparse approximate inverses”, SIAM Journal on Scientific Computing, 18:3 (1997), 838–853 | DOI | MR | Zbl
[5] Sherman J., Morrison W. J., “Adjustment of an inverse matrix corresponding to a change in one element of a given matrix”, The Annals of Mathematical Statistics, 21:1 (1950), 124–127 | DOI | MR | Zbl
[6] Nedozhogin N. S., Kopysov S. P., Novikov A. K., “Parallel forming preconditioner based on the approximate Sherman–Morrison inversion”, Vychislitel'nye metody i programmirovanie, 16 (2015), 86–93 (in Russian)
[7] Bru M., Cerdán J., Marín J., Mas J., “Preconditioning sparse nonsymmetric linear systems with Sherman–Morrison formula”, SIAM Journal on Scientific Computing, 25:2 (2003), 701–715 | DOI | MR | Zbl