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International Conference on Parallel Computing Technologies

PaCT 1997: Parallel Computing Technologies pp 389–390Cite as

Parallel direct algorithms for solution of sparse linear systems

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1277))

Abstract

Parallel direct algorithms for solving the scalar tridiagonal and five-diagonal systems of equations and vector systems of equations with block tridiagonal matrix coefficients are considered and their numerical stability is investigated.

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References

  1. Yanenko, N.N., Konovalov, A.N., Bugrov, A.N., Shustov, G.V.: About organization of parallel calculations and parallelizing of Gauss algorithm for tridiagonal systems. Num. Methods Mech. Cont. Medium. Novosibirsk 9(7) (1978) 139–146 (in Russian)

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  2. Akimova, E.N.: Parallel Gauss algorithm for vector systems with block tridiagonal matrices. Mathem. Modeling 6(9) (1994) 61–67 (in Russian).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Urals Branch of Russian Academy of Sciences, S.Kovalevskaya str.,16, 620219, Ekaterinburg, Russia

    Elena N. Akimova

Authors
  1. Elena N. Akimova
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Victor Malyshkin

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© 1997 Springer-Verlag Berlin Heidelberg

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Akimova, E.N. (1997). Parallel direct algorithms for solution of sparse linear systems. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 1997. Lecture Notes in Computer Science, vol 1277. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63371-5_42

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  • DOI: https://doi.org/10.1007/3-540-63371-5_42

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63371-6

  • Online ISBN: 978-3-540-69525-7

  • eBook Packages: Springer Book Archive

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