Skip to main content

Improved convergence for linear systems using three-part splittings

  • 1574 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 701)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dahlquist, G. and Björck, Å., Numerical methods, Prentice-Hall, Englewood Cliffs, N. J. (1974).

    MATH  Google Scholar 

  2. de Pillis, J., k-part splittings and operator-parameter over-relaxation, J. Math. Anal. Appl., 53 (1976), pp. 313–342.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. _____, Graphical techniques and 3-part splittings for linear systems, J. Approx. Theory, 17 (1976), pp. 44–56.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. _____, Faster convergence for iterative solutions to systems via three-part splittings (to appear).

    Google Scholar 

  5. Donnelly, J. D. P., Periodic chaotic relaxation, Linear Algebra and Appl. 4 (1971), pp. 117–128.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Neumann, M. 3-part splittings for singular and rectangular linear systems (to appear).

    Google Scholar 

  7. Ortega, J. M. and Rheinboldt, Iterative solution of non-linear equations in several variables. Academic Press, New York (1970).

    MATH  Google Scholar 

  8. Varga, R. S., Matrix iterative analysis. Prentice-Hall, Englewood Cliffs, N. J. (1962).

    Google Scholar 

  9. Young, D. M., Iterative solution of large linear systems, Academic Press, New York (1971).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

de Pillis, J. (1979). Improved convergence for linear systems using three-part splittings. In: Nashed, M.Z. (eds) Functional Analysis Methods in Numerical Analysis. Lecture Notes in Mathematics, vol 701. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062076

Download citation

  • DOI: https://doi.org/10.1007/BFb0062076

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09110-3

  • Online ISBN: 978-3-540-35530-4

  • eBook Packages: Springer Book Archive