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Gaussian Elimination and LU Factorizations

  • Tom Lyche
Chapter
  • 198 Downloads
Part of the Texts in Computational Science and Engineering book series (TCSE, volume 22)

Abstract

In this chapter we first review Gaussian elimination. Gaussian elimination leads to an LU factorization of the coefficient matrix or more generally to a PLU factorization, if row interchanges are introduced. Here P is a permutation matrix, L is lower triangular and U is upper triangular.

References

  1. 4.
    J.F. Grcar, Mathematicians of gaussian elimination. Not. AMS 58, 782–792 (2011)MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Tom Lyche
    • 1
  1. 1.Blindern, University of OsloOsloNorway

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