Expanding the applicability of inexact Newton methods under Smale's (\(\alpha\), \(\gamma\))-theory

DOI10.1016/J.AMC.2013.08.050zbMath1336.65099OpenAlexW2018127100MaRDI QIDQ278954

Saïd Hilout, Ioannis K. Argyros, Sanjay K. Khattri

Publication date: 27 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.08.050

zbMATH Keywords

Banach spaceFréchet-derivativeinexact Newton method\(\gamma\)-conditionSmale's \(\alpha\)-theory

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

On the convergence of inexact two-point Newton-like methods on Banach spaces ⋮ Semilocal convergence analysis of \(S\)-iteration process of Newton-Kantorovich like in Banach spaces ⋮ On the convergence of inexact Newton-like methods under mild differentiability conditions

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