A new sixth-order scheme for nonlinear equations
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Authors
Chun, Changbum
Neta, Beny
Subjects
Newton's method
Iterative methods
Nonlinear equations
Order of convergence
Root-finding methods
Iterative methods
Nonlinear equations
Order of convergence
Root-finding methods
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Date of Issue
2012
Date
2012
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Abstract
In this paper we present a new efficient sixth-order scheme for nonlinear equations. The method is compared to several members of the family of methods developed by Neta (1979) [B. Neta, A sixth-order family of methods for nonlinear equations, Int. J. Comput. Math. 7 (1979) 157–161]. It is shown that the new method is an improvement over this well known scheme.
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Applied Math. Letters, 25, (2012), 185–189, doi:10.1016/j.aml.2011.08.012.
The article of record as published may be located at http://dx.doi.org/10.1016/j.aml.2011.08.012
The article of record as published may be located at http://dx.doi.org/10.1016/j.aml.2011.08.012
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Applied Mathematics
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.