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>...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-05-01
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Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/11/10/2277 |
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. |
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ISSN: | 2227-7390 |