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Solution of Real and Complex Systems of Linear Equations

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Linear Algebra

Part of the book series: Handbook for Automatic Computation ((HDBKAUCO,volume 2))

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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 Inst., Techn. Univ., Arcisstr. 21, 8 München 2, Deutschland

    F. L. Bauer (Chief editor) (Chief editor)

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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. (eds) Linear Algebra. Handbook for Automatic Computation, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-39778-7_7

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  • DOI: https://doi.org/10.1007/978-3-662-39778-7_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-38854-9

  • Online ISBN: 978-3-662-39778-7

  • eBook Packages: Springer Book Archive

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