Weak convergence conditions for inexact Newton-type methods

DOI10.1016/j.amc.2011.08.023zbMath1296.47065OpenAlexW2091178851MaRDI QIDQ425474

Saïd Hilout, Ioannis K. Argyros

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.023

zbMATH Keywords

semilocal convergenceBanach spacenonlinear equationinexact Newton-type methodrecurrent functionslocally unique solution

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)

Related Items (3)

Local convergence of inexact Newton-like method under weak Lipschitz conditions ⋮ Extended local analysis of inexact Gauss-Newton-like method for least square problems using restricted convergence domains ⋮ Accelerating the convergence in the single-source and multi-source Weber problems

Uses Software

• NewtonLib

Cites Work

• A note on the Kantorovich theorem for Newton iteration
• A note on Newton type iterative methods
• Extending the Newton-Kantorovich hypothesis for solving equations
• General local convergence theory for a class of iterative processes and its applications to Newton's method
• On a class of Newton-like methods for solving nonlinear equations
• A convergence theorem for Newton-like methods in Banach spaces
• A new convergence theorem for the Jarratt method in Banach space
• Unified error analysis for Newton-type methods
• Inexact overlapped block Broyden methods for solving nonlinear equations
• On the Newton-Kantorovich hypothesis for solving equations
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
• On the convergence of Newton-type methods using recurrent functions
• A semilocal convergence analysis for directional Newton methods
• Convergence and Applications of Newton-type Iterations
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Convergence domains of certain iterative methods for solving nonlinear equations
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• Inexact Newton methods and recurrent functions
• A Unified Convergence Theory for a Class of Iterative Processes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weak convergence conditions for inexact Newton-type methods