A multi-parameter family of three-step eighth-order iterative methods locating a simple root

Document Type

Article

Publication Date

1-1-2010

Abstract

A multi-parameter family of three-step eighth-order iterative methods free from second derivatives are proposed in this paper to find a simple root of nonlinear algebraic equations. Convergence analysis as well as numerical experiments confirms the eighth-order convergence and asymptotic error constants. (C) 2009 Elsevier Inc. All rights reserved.

Keywords

Eighth-order convergence, Efficiency index, Multi-parameter family, Asymptotic error constant

Publication Title

Applied Mathematics and Computation

Volume

215

Issue

9

Publisher

Elsevier

Publisher Location

360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA

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