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