On some one-point hybrid iterative methods

DOI10.1016/j.na.2009.06.107zbMath1180.65069OpenAlexW1978100647MaRDI QIDQ1049019

Miguel A. Hernández, Natalia Romero, José Antonio Ezquerro

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.06.107

zbMATH Keywords

numerical examplesboundary value problemsnonlinear equations in Banach spacessemilocal convergenceNewton method\(R\)-order of convergenceregion of accessibilitythird order iterative processes

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (6)

About a fixed‐point‐type transformation to solve quadratic matrix equations using the Krasnoselskij method ⋮ The Chebyshev-Shamanskii method for solving systems of nonlinear equations ⋮ Modifications of Newton's method to extend the convergence domain ⋮ An efficient predictor-corrector iterative scheme for solving Wiener-Hopf problems ⋮ Solving Wiener-Hopf problems via an efficient iterative scheme ⋮ A Qualitative Analysis of a Family of Newton-Like Iterative Process with R-Order of Convergence At Least Three

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