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...

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Main Authors: Geum, Y.H., Kim, Y.I.
Format: Article
Published: Elsevier 2010
Subjects:
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author Geum, Y.H.
Kim, Y.I.
author_facet Geum, Y.H.
Kim, Y.I.
author_sort Geum, Y.H.
collection UM
description 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.
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spelling um.eprints-153222015-12-28T01:16:45Z http://eprints.um.edu.my/15322/ A multi-parameter family of three-step eighth-order iterative methods locating a simple root Geum, Y.H. Kim, Y.I. Q Science (General) 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. Elsevier 2010 Article PeerReviewed Geum, Y.H. and Kim, Y.I. (2010) A multi-parameter family of three-step eighth-order iterative methods locating a simple root. Applied Mathematics and Computation, 215 (9). pp. 3375-3382.
spellingShingle Q Science (General)
Geum, Y.H.
Kim, Y.I.
A multi-parameter family of three-step eighth-order iterative methods locating a simple root
title A multi-parameter family of three-step eighth-order iterative methods locating a simple root
title_full A multi-parameter family of three-step eighth-order iterative methods locating a simple root
title_fullStr A multi-parameter family of three-step eighth-order iterative methods locating a simple root
title_full_unstemmed A multi-parameter family of three-step eighth-order iterative methods locating a simple root
title_short A multi-parameter family of three-step eighth-order iterative methods locating a simple root
title_sort multi parameter family of three step eighth order iterative methods locating a simple root
topic Q Science (General)
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