Unification of sixth-order iterative methods

DOI10.1186/2251-7456-7-5zbMath1277.65035OpenAlexW2136079842WikidataQ59317744 ScholiaQ59317744MaRDI QIDQ387093

Ioannis K. Argyros, Sanjay K. Khattri

Publication date: 11 December 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-7-5

zbMATH Keywords

convergenceinfinite seriesiterative methodsnonlinearNewton methodunificationnumerical analysissixth order

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Rate of convergence, degree of approximation (41A25) Numerical summation of series (65B10)

Related Items (2)

Iterative methods of higher order for nonlinear equations ⋮ A family of high order derivative-free iterative methods for solving root-finding problems

Uses Software

• ARPREC

Cites Work

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• A unifying theorem for Newton's method on spaces with a convergence structure
• Sixth order derivative free family of iterative methods
• A comparison between iterative methods by using the basins of attraction
• A new sixth-order scheme for nonlinear equations
• Newton's method's basins of attraction revisited
• Some sixth-order variants of Ostrowski root-finding methods
• New variants of Jarratt's method with sixth-order convergence
• The Jarratt method in Banach space setting
• Dynamics of the King and Jarratt iterations
• A variant of Jarratt method with sixth-order convergence
• A family of modified Ostrowski methods with accelerated sixth order convergence
• Computational theory of iterative methods.
• An improvement to Ostrowski root-finding method
• Constructing third-order derivative-free iterative methods
• A sixth-order family of methods for nonlinear equations
• Optimal Order of One-Point and Multipoint Iteration

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