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

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 const...

Full description

Bibliographic Details
Main Authors: Geum, Y.H., Kim, Y.I.
Format: Article
Published: Elsevier 2010
Subjects:
Description
Summary: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.