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Algorithms of parallel computations for linear algebra problems with irregularly structured matrices

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Abstract

Parallel algorithms for direct methods of analysis and solution of linear algebra problems with sparse symmetric irregularly structured matrices are considered. The performance of such algorithms is investigated. Upper estimates of the speedup and efficiency factors are obtained for a parallel algorithm for triangular decomposition of sparse matrices. Some results of numerical experiments carried out on a MIMD computer are given.

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Correspondence to A. N. Khimich.

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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 159–177, November–December 2011.

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Khimich, A.N., Popov, A.V. & Polyankoa, V.V. Algorithms of parallel computations for linear algebra problems with irregularly structured matrices. Cybern Syst Anal 47, 973–985 (2011). https://doi.org/10.1007/s10559-011-9377-4

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