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Full matrix techniques in sparse Gaussian elimination

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 912))

Abstract

We discuss ways in which code for Gaussian elimination on full systems can be used in crucial parts of the code for the solution of sparse linear equations. We indicate the benefits of using full matrix techniques in the later stages of Gaussian elimination and describe frontal and multi-frontal schemes where such benefits are obtained automatically. We also illustrate the advantages of such approaches when running sparse codes on vector machines.

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Authors

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G. Alistair Watson

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© 1982 Springer-Verlag

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Duff, I.S. (1982). Full matrix techniques in sparse Gaussian elimination. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 912. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093150

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  • DOI: https://doi.org/10.1007/BFb0093150

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11199-3

  • Online ISBN: 978-3-540-39009-1

  • eBook Packages: Springer Book Archive

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