Fractal Newton Methods

We introduce fractal Newton methods for solving <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo>...

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Bibliographic Details
Main Authors: Ali Akgül, David Grow
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/10/2277
Description
Summary:We introduce fractal Newton methods for solving <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> that generalize and improve the classical Newton method. We compare the theoretical efficacy of the classical and fractal Newton methods and illustrate the theory with examples.
ISSN:2227-7390