Some improvements of Ostrowski's method

DOI10.1016/j.aml.2009.08.010zbMath1191.65049OpenAlexW1988613518MaRDI QIDQ1049265

Xiuhua Wang, Jisheng Kou

Publication date: 8 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.08.010

zbMATH Keywords

numerical examplesnonlinear equationsefficiency indexsimple rootOstrowski's methodeighth-order convergenceroot finding iterative method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)

Related Items (7)

A variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: dynamic study and approach ⋮ Two weighted eight-order classes of iterative root-finding methods ⋮ Ostrowski type methods for solving systems of nonlinear equations ⋮ Three-step iterative methods with optimal eighth-order convergence ⋮ A family of modified Ostrowski's methods with optimal eighth order of convergence ⋮ On a robust Aitken-Newton method based on the Hermite polynomial ⋮ New highly efficient families of higher-order methods for simple roots, permitting \(f'(x_n)=0\)

Cites Work

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• Some eighth-order root-finding three-step methods
• Some sixth-order variants of Ostrowski root-finding methods
• A family of modified Ostrowski methods with accelerated sixth order convergence
• Some variants of Ostrowski's method with seventh-order convergence
• An improvement to Ostrowski root-finding method
• Improvements of the efficiency of some three-step iterative like-Newton methods
• A variant of Newton's method with accelerated third-order convergence

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