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Conclusions

  • James LottesEmail author
Chapter
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Part of the Springer Theses book series (Springer Theses)

Abstract

The conclusion presents a brief summary of the ideas put forth in the previous chapters. Namely, the form absolute value of Chap.  3 fills a vital gap left by the absence of the energy inner product, and is the key tool enabling the more natural convergence theory presented in Chap.  4 for two level algorithms for nonsymmetric problems. This abstract theory can directly inform practical methods, as demonstrated by example in Chap.  5.

References

  1. 1.
    Falgout, R.D., Vassilevski, P.S., Zikatanov, L.T.: On two-grid convergence estimates. Numer. Linear Algebra Appl. 12(5–6), 471–494 (2005)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Notay, Y.: Algebraic analysis of two-grid methods: The nonsymmetric case. Numer. Linear Algebra Appl. 17, 73–96 (2010)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Google Inc.Mountain ViewUSA

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