Weaker Kantorovich type criteria for inexact Newton methods

DOI10.1016/j.cam.2013.10.048zbMath1278.65064OpenAlexW2062881512MaRDI QIDQ390452

Ioannis K. Argyros, Sanjay K. Khattri

Publication date: 8 January 2014

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.2013.10.048

zbMATH Keywords

semilocal convergenceBanach spaceFréchet derivativeinexact Newton methodcenter-Lipschitz conditionKantorovich theory

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Extrapolation to the limit, deferred corrections (65B05) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Error analysis and interval analysis (65G99)

Related Items (2)

Convergence theorem for a family of new modified Halley's method in Banach space ⋮ A short survey on Kantorovich

Cites Work

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• Adaptive Approximation of Nonlinear Operators

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