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Solution of Real and Complex Systems of Linear Equations

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Handbook for Automatic Computation

Part of the book series: Die Grundlehren der mathematischen Wissenschaften ((GL,volume 186))

Abstract

If A is a non-singular matrix then, in general, it can be factorized in the form A = LU, where L is lower-triangular and U is upper-triangular. The factorization, when it exists, is unique to within a non-singular diagonal multiplying factor.

Prepublished in Numer. Math. 8, 217–234 (1966).

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References

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Authors
  1. H. J. Bowdler
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  2. R. S. Martin
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  3. G. Peters
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  4. J. H. Wilkinson
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Editor information

Editors and Affiliations

  1. Mathematisches Institut, Technichen Universität, 8 München 2, Arcisstr. 21, Deutschland

    F. L. Bauer

  2. Fachgruppe Computer-Wissenschaften, Eidgenössische Technische Hochschule Zürich, CH-8006, Zürich, Schweiz, Clausiusstr. 55

    H. Rutishauser

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© 1971 Springer-Verlag Berlin · Heidelberg

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Bowdler, H.J., Martin, R.S., Peters, G., Wilkinson, J.H. (1971). Solution of Real and Complex Systems of Linear Equations. In: Bauer, F.L., Householder, A.S., Olver, F.W.J., Rutishauser, H., Samelson, K., Stiefel, E. (eds) Handbook for Automatic Computation. Die Grundlehren der mathematischen Wissenschaften, vol 186. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86940-2_7

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  • DOI: https://doi.org/10.1007/978-3-642-86940-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-86942-6

  • Online ISBN: 978-3-642-86940-2

  • eBook Packages: Springer Book Archive

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