A Convergence Analysis of Newton-Like Method for Singular Equations Using Recurrent Functions
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Publication:3578002
DOI10.1080/01932691003672604zbMath1197.65056OpenAlexW2009985668MaRDI QIDQ3578002
Saïd Hilout, Ioannis K. Argyros
Publication date: 13 July 2010
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01932691003672604
semilocal convergenceBanach spacenonlinear operator equationFréchet-differentiable operatorNewton-like methodsrecurrent functionsouter generalized inverseNewton-Kantorovich assumptions
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
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New conditions for the convergence of Newton-like methods and applications, On the convergence of inexact two-step Newton-like algorithms using recurrent functions, Extended convergence results for the Newton-Kantorovich iteration
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