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- Taher Lotfi, Somayeh Sharifi, Mehdi Salimi, Stefan Siegmund
- Numerical Algorithms
- 2014

We establish a new class of three-point methods for the computation of simple zeros of a scalar function. Based on the two-point optimal method by Ostrowski (1966), we construct a family of orderâ€¦ (More)

- Taher Lotfi, Fazlollah Soleymani, Mohammad Ghorbanzadeh, Paria Assari
- Numerical Algorithms
- 2015

In this work, two-step methods with memory by applying three self-accelerator parameters are proposed and analyzed. In fact, we hit the high bound 7.7720 0 1 3 â‰ˆ 1.98082 $7.77200^{\fracâ€¦ (More)

On a New Efficient Steffensen-Like Iterative Class by Applying a Suitable Self-Accelerator Parameter

- Taher Lotfi, Elahe Tavakoli
- TheScientificWorldJournal
- 2014

It is attempted to present an efficient and free derivative class of Steffensen-like methods for solving nonlinear equations. To this end, firstly, we construct an optimal eighth-order three-stepâ€¦ (More)

- Taher Lotfi, Katayoun Mahdiani, Zaid Noori, Farhad Khaksar Haghani, Stanford Shateyi
- TheScientificWorldJournal
- 2014

A class of derivative-free methods without memory for approximating a simple zero of a nonlinear equation is presented. The proposed class uses four function evaluations per iteration withâ€¦ (More)

- Taher Lotfi, Paria Assari
- 2015

In this study, based on the optimal free derivative without memory methods proposed by Cordero et al. [A. Cordero, J.L. Hueso, E. Martinez, J.R. Torregrosa, Generating optimal derivative freeâ€¦ (More)

- Fazlollah Soleymani, Taher Lotfi, Elahe Tavakoli, F. Khaksar Haghani
- Applied Mathematics and Computation
- 2015

- Taher Lotfi, Parisa Bakhtiari, Alicia Cordero, Katayoun Mahdiani, Juan R. Torregrosa
- Int. J. Comput. Math.
- 2015

It is attempted to put forward a new multipoint iterative method of sixth-order convergence for approximating solutions of nonlinear systems of equations. It requires two vector-function and twoâ€¦ (More)

- Somayeh Sharifi, Mehdi Salimi, Stefan Siegmund, Taher Lotfi
- Mathematics and Computers in Simulation
- 2016

We introduce a new class of optimal iterative methods without memory for approximating a simple root of a given nonlinear equation. The proposed class uses four function evaluations and one firstâ€¦ (More)

- Taher Lotfi, Alicia Cordero, Juan R. Torregrosa, Morteza Amir Abadi, Maryam Mohammadi Zadeh
- TheScientificWorldJournal
- 2014

The primary goal of this work is to provide a general optimal three-step class of iterative methods based on the schemes designed by Bi et al. (2009). Accordingly, it requires four functionalâ€¦ (More)

- Saeid Abbasbandy, Parisa Bakhtiari, Alicia Cordero, Juan R. Torregrosa, Taher Lotfi
- Applied Mathematics and Computation
- 2016

In 2011, Khattri and Abbasbandy developed an optimal two-step Jarratt-like method for approximating simple roots of a nonlinear equation. We develop their method for solving nonlinear systems ofâ€¦ (More)