Fractal Newton Methods

Ali Akgül () and David Grow
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Ali Akgül: Department of Computer Science and Mathematics, Lebanese American University, Beirut 11022801, Lebanon
David Grow: Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, USA

Mathematics, 2023, vol. 11, issue 10, 1-13

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.

Keywords: fractal derivative; fractal Newton methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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