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 |
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| Online Access: | https://www.mdpi.com/2227-7390/11/10/2277 |
| _version_ | 1827740873291464704 |
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| author | Ali Akgül David Grow |
| author_facet | Ali Akgül David Grow |
| author_sort | Ali Akgül |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T03:31:29Z |
| format | Article |
| id | doaj.art-a0a192d802844c198350375178e4e61c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T03:31:29Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a0a192d802844c198350375178e4e61c2023-11-18T02:18:35ZengMDPI AGMathematics2227-73902023-05-011110227710.3390/math11102277Fractal Newton MethodsAli Akgül0David Grow1Department of Computer Science and Mathematics, Lebanese American University, Beirut 11022801, LebanonDepartment of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, USAWe 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.https://www.mdpi.com/2227-7390/11/10/2277fractal derivativefractal Newton methods |
| spellingShingle | Ali Akgül David Grow Fractal Newton Methods Mathematics fractal derivative fractal Newton methods |
| title | Fractal Newton Methods |
| title_full | Fractal Newton Methods |
| title_fullStr | Fractal Newton Methods |
| title_full_unstemmed | Fractal Newton Methods |
| title_short | Fractal Newton Methods |
| title_sort | fractal newton methods |
| topic | fractal derivative fractal Newton methods |
| url | https://www.mdpi.com/2227-7390/11/10/2277 |
| work_keys_str_mv | AT aliakgul fractalnewtonmethods AT davidgrow fractalnewtonmethods |