Skip to main content

Some improvements of classical iterative methods for the solution of nonlinear equations

  • Conference paper
  • First Online:
Numerical Solution of Nonlinear Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 878))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. COLLATZ, L., Näherungsverfahren höherer Ordnung für Gleichungen in Banach-Räumen, Arch.Rat.Mech.Anal.2, 66–75 (1958)

    Article  MathSciNet  MATH  Google Scholar 

  2. COLLATZ, L., Funktionalanalysis und Numerische Mathematik. Springer, Berlin-Heidelberg-New York (1964)

    Book  MATH  Google Scholar 

  3. EHRMANN, H., Konstruktion und Durchführung von Iterationsverfahren höherer Ordnung, Arch.Rat.Mech.Anal. 4, 65–88 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  4. KING, R.F., Tangent methods for nonlinear equations, Num.Math. 18, 298–304 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  5. KLEINMICHEL, H., Stetige Analoga und Iterationsverfahren für nichtlineare Gleichungen in Banachräumen, Math.Nachr. 37, 313–344 (1968)

    Article  MathSciNet  MATH  Google Scholar 

  6. ORTEGA, J.M., RHEINBOLDT, W.C., Iterative solution of nonlinear equations in several variables, Academic Press, New York-London (1970)

    MATH  Google Scholar 

  7. OSTROWSKI, A.M., Solution of equations in Euclidean and Banach spaces, Academic Press, New York-London (1973)

    MATH  Google Scholar 

  8. SCHWETLICK, H., Numerische Lösung nichtlinearer Gleichungen, R. Oldenbourg Verlag, München-Wien (1979)

    MATH  Google Scholar 

  9. TRAUB, J.F., Iterative methods for the solution of equations, Prentice Hall, Englewood Cliffs (1964)

    MATH  Google Scholar 

  10. WERNER, W., Über ein Verfahren der Ordnung 1+√2 zur Nullstellenbestimmung, Num.Math. 32, 333–342 (1979)

    Article  MATH  Google Scholar 

  11. WERNER, W., Some supplementary results on the 1+√2 order method for the solution of nonlinear equations, submitted for publication

    Google Scholar 

  12. WERNER, W., On higher order iterative methods for the sol solution of nonlinear equations, submitted for publication

    Google Scholar 

  13. WERNER, W., Some efficient algorithms for the solution of a single nonlinear equation, to appear in Int.J.Comp.Math., Ser. B, (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Eugene L. Allgower Klaus Glashoff Heinz-Otto Peitgen

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Werner, W. (1981). Some improvements of classical iterative methods for the solution of nonlinear equations. In: Allgower, E.L., Glashoff, K., Peitgen, HO. (eds) Numerical Solution of Nonlinear Equations. Lecture Notes in Mathematics, vol 878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090691

Download citation

  • DOI: https://doi.org/10.1007/BFb0090691

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10871-9

  • Online ISBN: 978-3-540-38781-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics