Order of Convergence, Extensions of Newton–Simpson Method for Solving Nonlinear Equations and Their Dynamics
Local convergence of order three has been established for the Newton–Simpson method (NS), provided that derivatives up to order four exist. However, these derivatives may not exist and the NS can converge. For this reason, we recover the convergence order based only on the first two derivatives. Mor...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-02-01
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Series: | Fractal and Fractional |
Subjects: | |
Online Access: | https://www.mdpi.com/2504-3110/7/2/163 |