On the Higher‐Order Method for the Solution of a Nonlinear Scalar Equation

On the Higher‐Order Method for the Solution of a Nonlinear Scalar Equation

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Article ID: iaor20115119
Volume: 149
Issue: 3
Start Page Number: 647
End Page Number: 664
Publication Date: Jun 2011
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: programming: nonlinear
Abstract:

In this paper, a higher‐order method for the solution of a nonlinear scalar equation is presented. It is proved that the new method is locally convergent with an order of (m+2), where m is the highest order derivative used in the iterative formula. Some numerical examples are used to demonstrate the new method.

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