Fractal Newton Methods-Reference-Cited by-同舟云学术

Fractal Newton Methods

Published:2023-05-13 Issue:10 Volume:11 Page:2277
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Akgül Ali¹²³^ORCID,Grow David⁴

Affiliation:

1. Department of Computer Science and Mathematics, Lebanese American University, Beirut 11022801, Lebanon

2. Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey

3. Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, 99138 Nicosia, Turkey

4. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, USA

Abstract

We introduce fractal Newton methods for solving f(x)=0 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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/10/2277/pdf

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5. A fractional Newton method with 2αth-order of convergence and its stability;Cordero;Appl. Math. Lett.,2019

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