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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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Uloženo v:
Hlavní autoři: Moin-ud-Din Junjua, Shahid Abdullah, Munish Kansal, Shabbir Ahmad
Médium: Artigo
Jazyk:Inglês
Vydáno: MDPI AG 2024-11-01
Edice:Fractal and Fractional
Témata:
nonlinear equations
iteration methods with-memory
order of convergence
efficiency index
fractal analysis
basins of attraction
On-line přístup:https://www.mdpi.com/2504-3110/8/12/698
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