A Novel Geometric Modification to the Newton-Secant Method to Achieve Convergence of Order 1+2 and Its Dynamics

A geometric modification to the Newton-Secant method to obtain the root of a nonlinear equation is described and analyzed. With the same number of evaluations, the modified method converges faster than Newton’s method and the convergence order of the new method is 1+2≈2.4142. The numerical examples...

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Bibliographic Details
Main Author: Gustavo Fernández-Torres
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2015/502854
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