Author(s):
Munish Kansal, V. Kanwar, Saurabh Bhatia
Email(s):
mkmaths23@pu.ac.in , vmithil@yahoo.co.in , s_bhatia@pu.ac.in
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
ABSTRACT:
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
Cite(Electronic):
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 Available on: https://ijersonline.org/AbstractView.aspx?PID=2015-6-1-33