New iterative method for solving non-linear equations with fourth-order convergence

DOI10.1080/00207160802217201zbMath1193.65056OpenAlexW2085382584MaRDI QIDQ3568423

Mehdi Dehghan, Masoud Hajarian

Publication date: 11 June 2010

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

Full work available at URL: https://doi.org/10.1080/00207160802217201

zbMATH Keywords

numerical resultsNewton's methoditerative methodfourth-order of convergencenon-linear equationHalley's approximation

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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Cites Work

• Unnamed Item
• Some new variants of Newton's method.
• On Halley's Iteration Method
• A family of multiopoint iterative functions for finding multiple roots of equations
• A family of one-point iteration formulae for finding roots
• On the convergence of a class of generalized steffensen's iterative procedures and error analysis
• On the Geometry of Halley's Method
• A new cubic method for computing a root
• A variant of Newton's method with accelerated third-order convergence

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