Local convergence for multipoint methods using only the first derivative

DOI10.1007/s40324-016-0075-zzbMath1367.65082OpenAlexW2312248459MaRDI QIDQ2361628

Ioannis K. Argyros, Munish Kansal, Vinay Kanwar

Publication date: 30 June 2017

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-016-0075-z

zbMATH Keywords

numerical exampleerror boundBanach spacenonlinear operator equationlocal convergencesystems of equationsmultipoint method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

A family of higher order iterations free from second derivative for nonlinear equations in \(\mathbb{R}\) ⋮ Local convergence comparison between two novel sixth order methods for solving equations ⋮ A study on the local convergence and dynamics of the two-step and derivative-free Kung-Traub's method ⋮ Local Convergence of a Family of Iterative Methods with Sixth and Seventh Order Convergence Under Weak Conditions

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