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An optimized Steffensen-type iterative method with memory associated with annuity calculation

  • Fuad W. Khdhr
  • Fazlollah SoleymaniEmail author
  • Rostam K. Saeed
  • Ali Akgül
Regular Article
  • 3 Downloads

Abstract.

An iteration scheme in the class of Steffensen-type methods is proposed and extended to achieve the optimized speed for methods with memory. In fact, 100% convergence acceleration is obtained in contrast to its version without memory and without any additional functional evaluations. Improvements of the convergence radii by this technique are illustrated by the dynamic of the iterations. Finally, an application of the proposed scheme in computing annuity in finance is furnished.

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Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Fuad W. Khdhr
    • 1
  • Fazlollah Soleymani
    • 2
    Email author
  • Rostam K. Saeed
    • 1
  • Ali Akgül
    • 3
  1. 1.Department of Mathematics, College of ScienceSalahaddin UniversityErbilIraq
  2. 2.Department of MathematicsInstitute for Advanced Studies in Basic Sciences (IASBS)ZanjanIran
  3. 3.Department of Mathematics, Art and Science FacultySiirt UniversitySiirtTurkey

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