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Analysis of methods for solving large-scale non-symmetric linear systems with sparsed matrices

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Parallel Computing Technologies (PaCT 1997)

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

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Abstract

Two methods which allow to solve non-symmetric sparsed systems of linear equations (SLEs) — Biconjugative Gradients (BiCG) and General Minimal Residuals (GMRES) methods — are described in this paper. Analysis of requirements to memory and computational speed is given; some results of application to finite- differences and finiteelements SLEs are shown. Some features of these methods connected with ABS-class presented by Abaffi and Spedicato are also discussed.

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References

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Authors and Affiliations

  1. Novosibirsk State Technical University, Novosibirsk

    M. Balandin, O. Chernyshev & E. Shurina

Authors
  1. M. Balandin
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  2. O. Chernyshev
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  3. E. Shurina
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Victor Malyshkin

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© 1997 Springer-Verlag Berlin Heidelberg

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Balandin, M., Chernyshev, O., Shurina, E. (1997). Analysis of methods for solving large-scale non-symmetric linear systems with sparsed matrices. 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_34

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  • DOI: https://doi.org/10.1007/3-540-63371-5_34

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63371-6

  • Online ISBN: 978-3-540-69525-7

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