On the local convergence study for an efficient \(k\)-step iterative method

DOI10.1016/j.cam.2018.02.028zbMath1503.65115OpenAlexW2793414787WikidataQ130140436 ScholiaQ130140436MaRDI QIDQ1643895

Ioannis K. Argyros, Eulalia Martínez, Sergio Amat, Sonia Busquier, Miguel Ángel Hernández-Verón

Publication date: 20 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/146303

zbMATH Keywords

efficiencyiterative methodsnonlinear equationslocal convergenceorder of convergence

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (13)

Extending the applicability and convergence domain of a higher-order iterative algorithm under \(\omega\) condition ⋮ On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces ⋮ Extended iterative schemes based on decomposition for nonlinear models ⋮ A study on the local convergence and complex dynamics of Kou's family of iterative methods ⋮ Extending the applicability of a third-order scheme with Lipschitz and Hölder continuous derivative in Banach spaces ⋮ Extending the applicability of a Newton-Simpson-like method ⋮ Extended convergence ball for an efficient eighth order method using only the first derivative ⋮ Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces ⋮ On the local convergence of a third-order iterative scheme in Banach spaces ⋮ On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative ⋮ Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces ⋮ On the convergence of harmonic mean Newton method under \(\omega\) continuity condition in Banach spaces ⋮ Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with H

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