On an efficient \(k\)-step iterative method for nonlinear equations

DOI10.1016/J.CAM.2016.02.003zbMath1382.65136OpenAlexW2275608983MaRDI QIDQ268340

Eulalia Martínez, Concepción Bermúdez, Sergio Amat, Miguel Ángel Hernández-Verón

Publication date: 14 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.02.003

zbMATH Keywords

dynamicsefficiencyiterative methodssemilocal convergencenonlinear equationsorder of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear operators and their properties (47H99)

Related Items (10)

Directional \(k\)-step Newton methods in \(n\) variables and its semilocal convergence analysis ⋮ On the local convergence study for an efficient \(k\)-step iterative method ⋮ Semilocal convergence analysis of an efficient Steffensen-type fourth order method ⋮ Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions ⋮ Unnamed Item ⋮ Sharp estimation of local convergence radius for the Picard iteration ⋮ On the complexity of extending the convergence region for Traub's method ⋮ Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations ⋮ Extended local and semilocal convergence for interpolatory iterative methods for nonlinear equations ⋮ Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with H

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• On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems
• Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
• Newton's Method for a Class of Optimal Shape Design Problems

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