https://doi.org/10.1140/epjp/i2019-12665-3
Regular Article
An optimized Steffensen-type iterative method with memory associated with annuity calculation
1
Department of Mathematics, College of Science, Salahaddin University, Erbil, Kurdistan Region, Iraq
2
Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), 45137-66731, Zanjan, Iran
3
Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey
* e-mail: fazlollah.soleymani@gmail.com
Received:
4
February
2019
Accepted:
4
March
2019
Published online:
12
April
2019
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.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
