Simply constructed family of a Ostrowski's method with optimal order of convergence

DOI10.1016/j.camwa.2011.09.039zbMath1236.65054OpenAlexW2089145697MaRDI QIDQ2429047

Ramandeep Behl, Vinay Kanwar, Kapil K. Sharma

Publication date: 22 April 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.09.039

zbMATH Keywords

Newton's methodnonlinear equationsoptimal order of convergenceJarratt's methodOstrowski's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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Cites Work

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• A family of optimal sixteenth-order multipoint methods with a linear fraction plus a trivariate polynomial as the fourth-step weighting function
• Accurate fourteenth-order methods for solving nonlinear equations
• A new family of secant-like methods with superlinear convergence
• On the construction of iterative methods with at least cubic convergence
• On a class of quadratically convergent iteration formulae
• Optimal Order of One-Point and Multipoint Iteration
• Some efficient fourth order multipoint methods for solving equations
• A Family of Fourth Order Methods for Nonlinear Equations

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