Abstract
We introduce fractal Newton methods for solving (Formula presented.) 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.
Recommended Citation
A. Akgül and D. E. Grow, "Fractal Newton Methods," Mathematics, vol. 11, no. 10, article no. 2277, MDPI, May 2023.
The definitive version is available at https://doi.org/10.3390/math11102277
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
fractal derivative; fractal Newton methods
International Standard Serial Number (ISSN)
2227-7390
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2023 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 May 2023