IJPAM: Volume 69, No. 1 (2011)

COMPUTING SIMPLE ROOTS BY
A SIXTH-ORDER ITERATIVE METHOD

Farahnaz Soleimani$^1$, Fazlollah Soleymani$^2$
$^1$Department of Chemistry
Islamic Azad University
Roudehen Branch, Tehran, IRAN
e-mail: fz_soleimani@yahoo.com
$^2$Young Researchers Club
Islamic Azad University
Zahedan Branch, Zahedan, IRAN
e-mail: fazl_soley_bsb@yahoo.com


Abstract. This paper studies a novel without memory sixth-order method for computing simple roots of nonlinear scalar equations. Using the well-known technique of un-determined coefficients, we derive an iterative scheme which includes two evaluations of the function and two evaluations of the first derivative per full cycle. Numerical comparisons are made to reveal the efficiency of the developed method.

Received: December 20, 2010

AMS Subject Classification: 65H05

Key Words and Phrases: nonlinear scalar equations, un-determined coefficients, efficiency, simple roots, order of convergence, multi-point methods

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 69
Issue: 1