Ball convergence for a two-step fourth order derivative-free method for nonlinear equations

DOI10.4064/AM2331-7-2017zbMath1433.65089OpenAlexW2938966378WikidataQ128042789 ScholiaQ128042789MaRDI QIDQ5237135

Ramandeep Behl, Ioannis K. Argyros, Sandile Sydney Motsa

Publication date: 16 October 2019

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am2331-7-2017

zbMATH Keywords

local convergenceconvergence ordertwo-step method with memory

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

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• Different anomalies in a Jarratt family of iterative root-finding methods
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• Chaotic dynamics of a third-order Newton-type method
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• New iterations of \(R\)-order four with reduced computational cost
• Simply constructed family of a Ostrowski's method with optimal order of convergence
• Computational Methods in Nonlinear Analysis
• Convergence and Applications of Newton-type Iterations

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