Inexact Newton-type methods

DOI10.1016/j.jco.2010.08.006zbMath1225.65058OpenAlexW1978198932MaRDI QIDQ609737

Saïd Hilout, Ioannis K. Argyros

Publication date: 1 December 2010

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2010.08.006

zbMATH Keywords

convergenceBanach spaceNewton methodnonlinear operator equationMoore-Penrose generalized inversesemi-local convergencerecurrent functionsinexact Newton-type methods

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

Convergence of inexact Newton methods for generalized equations ⋮ Metrically Regular Mapping and Its Utilization to Convergence Analysis of a Restricted Inexact Newton-Type Method ⋮ Kantorovich-type results for generalized equations with applications ⋮ Inexact Newton method for non-linear functions with values in a cone ⋮ Extended Newton-type method for nonlinear functions with values in a cone

Cites Work

• A new semilocal convergence theorem for Newton's method
• A note on the Kantorovich theorem for Newton iteration
• On a class of Newton-like methods for solving nonlinear equations
• A Kantorovich-type convergence analysis for the Gauss-Newton-method
• A convergence theorem for Newton-like methods in Banach spaces
• Some notions of nonstationary multistep iteration processes
• Convergence of Newton-like methods for singular operator equations using outer inverses
• Generalized inverses. Theory and applications.
• 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
• Local convergence of inexact Newton-like iterative methods and applications
• Convergence domains of certain iterative methods for solving nonlinear equations
• Uniqueness of the solution in a Kantorovich-type theorem of Häu\ler for the Gauss-Newton Method
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• Accessibility Of Solutions By Newton's Method
• Inexact Newton methods and recurrent functions
• Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Inexact Newton-type methods