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

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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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Authors and Affiliations

  1. Department of Mathematics, College of Science, Salahaddin University, Erbil, Kurdistan Region, Iraq

    Fuad W. Khdhr & Rostam K. Saeed

  2. Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), 45137-66731, Zanjan, Iran

    Fazlollah Soleymani

  3. Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey

    Ali Akgül

Authors
  1. Fuad W. Khdhr
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  2. Fazlollah Soleymani
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  3. Rostam K. Saeed
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  4. Ali Akgül
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Correspondence to Fazlollah Soleymani.

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Khdhr, F.W., Soleymani, F., Saeed, R.K. et al. An optimized Steffensen-type iterative method with memory associated with annuity calculation. Eur. Phys. J. Plus 134, 146 (2019). https://doi.org/10.1140/epjp/i2019-12665-3

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