On Traub–Steffensen-Type Iteration Schemes With and Without Memory: Fractal Analysis Using Basins of Attraction

This paper investigates the design and stability of Traub–Steffensen-type iteration schemes with and without memory for solving nonlinear equations. Steffensen’s method overcomes the drawback of the derivative evaluation of Newton’s scheme, but it has, in general, smaller sets of initial guesses tha...

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Bibliographic Details

Published in:	Fractal and Fractional
Main Authors:	Moin-ud-Din Junjua, Shahid Abdullah, Munish Kansal, Shabbir Ahmad
Format:	Article
Language:	English
Published:	MDPI AG 2024-11-01
Subjects:	nonlinear equations iteration methods with-memory order of convergence efficiency index fractal analysis basins of attraction
Online Access:	https://www.mdpi.com/2504-3110/8/12/698