Ball convergence for a family of eight-order iterative schemes under hypotheses only of the first-order derivative

DOI10.1080/00207160.2019.1646904zbMath1480.65115OpenAlexW2962733009WikidataQ127492685 ScholiaQ127492685MaRDI QIDQ5030593

Ali Saleh Alshomrani, Ramandeep Behl, Ioannis K. Argyros

Publication date: 17 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2019.1646904

zbMATH Keywords

Newton's methoderror boundsnonlinear equationsradius of convergenceLipschitz constants

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
• Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations
• A new class of three-point methods with optimal convergence order eight and its dynamics
• New iterations of \(R\)-order four with reduced computational cost
• Simply constructed family of a Ostrowski's method with optimal order of convergence
• Convergence and Applications of Newton-type Iterations
• A variant of Newton's method with accelerated third-order convergence

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