Author(s): Munish Kansal, V. Kanwar, Saurabh Bhatia

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DOI: 10.5958/2321-581X.2015.00033.1   

Address: Munish Kansal*, V. Kanwar and Saurabh Bhatia
University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, India

Published In:   Volume - 6,      Issue - 1,     Year - 2015

This paper presents an improvement of the existing eighth-order derivative involved method [14] into derivative-free scheme, holding the order of convergence of the original method. Each member of the family requires only four function evaluations per iteration to achieve the eighth-order of convergence, while they are totally free from derivative evaluation. Hence, they agree with the optimality conjecture of Kung-Traub for providing multipoint iterations without memory. The proposed methods are compared with their closest competitors in a series of numerical experiments. Numerical experiments show that such derivative-free, high order schemes offer significant advantages over the derivative involved methods.

Cite this article:
Munish Kansal, V. Kanwar ,Saurabh Bhatia. On improved Steffensen type methods with optimal eighth-order of convergence. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 223-228. doi: 10.5958/2321-581X.2015.00033.1

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DOI: 10.5958/2321-581X 

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