On the local convergence of a third order family of iterative processes

DOI10.3390/A8041121zbMath1461.65105OpenAlexW2185389722MaRDI QIDQ1736740

Natalia Romero, Miguel Ángel Hernández-Verón

Publication date: 26 March 2019

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a8041121

zbMATH Keywords

Newton's methoditerative methodnonlinear equationlocal convergenceaccessibility of solution

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (9)

Estimating the local radius of convergence for Picard iteration ⋮ On the local convergence of the modified Newton method ⋮ Local convergence radius for the Mann-type iteration ⋮ Local convergence of Exquerro-Hernandez method ⋮ Local convergence and radius of convergence for modified Newton method ⋮ Local convergence of generalized Mann iteration ⋮ On the problem of starting points for iterative methods ⋮ Sharp estimation of local convergence radius for the Picard iteration ⋮ Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations

Cites Work

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• Efficient high-order methods based on golden ratio for nonlinear systems
• On computational efficiency for multi-precision zero-finding methods
• An optimization of Chebyshev's method
• Improving the efficiency index of one-point iterative processes
• Improvements of the efficiency of some three-step iterative like-Newton methods

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