Majorizing sequences for iterative methods

DOI10.1016/j.cam.2011.11.003zbMath1427.65090OpenAlexW2088929966MaRDI QIDQ2428111

Ioannis K. Argyros, Saïd Hilout

Publication date: 24 April 2012

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.2011.11.003

zbMATH Keywords

semilocal convergenceBanach spaceradiative transferNewton-type methodsmajorizing sequencesChandrasekhar integral equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (7)

Estimating upper bounds on the limit points of majorizing sequences for Newton's method ⋮ A Newton-like method for generalized operator equations in 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 ⋮ Some notes on split Newton iterative algorithm ⋮ Fourth-order convergence theorem by using majorizing functions for super-Halley method in Banach spaces ⋮ Accessibility of solutions of operator equations by Newton-like methods

Uses Software

• NewtonLib

Cites Work

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• Majorizing Sequences and Error Bounds for Iterative Methods
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• A Unified Convergence Theory for a Class of Iterative Processes

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