Post-filtering of IC2-factors for load balancing in parallel preconditioning
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 940-957

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A modification is proposed for the second order incomplete Cholesky decomposition (IC2). It makes possible to design a preconditioning procedure for the conjugate gradient method (CGM) with a controllable fill-in in the preconditioner. The modified algorithm is used to develop a load-balancing parallel preconditioning for CGM as applied to linear systems with symmetric positive definite matrices. Numerical results obtained using a multiprocessor computer system are presented.
@article{ZVMMF_2009_49_6_a1,
     author = {I. E. Kaporin and I. N. Kon'shin},
     title = {Post-filtering of {IC2-factors} for load balancing in parallel preconditioning},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {940--957},
     publisher = {mathdoc},
     volume = {49},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a1/}
}
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I. E. Kaporin; I. N. Kon'shin. Post-filtering of IC2-factors for load balancing in parallel preconditioning. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 940-957. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a1/