Weak sufficient convergence conditions and applications for Newton methods

DOI10.1007/BF02936147zbMath1058.65059MaRDI QIDQ1885064

Ioannis K. Argyros

Publication date: 28 October 2004

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

zbMATH Keywords

numerical exampleserror boundssemilocal convergenceBanach spacenonlinear operator equationNewton-like methodsNewton-Kantorovich hypothesis

Mathematics Subject Classification ID

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

Related Items (5)

Inexact-Newton method for solving operator equations in infinite-dimensional spaces ⋮ A minimax model and arithmetic for initial emission permits ⋮ Scalar correction method for solving large scale unconstrained minimization problems ⋮ Smoothing Newton method for operator equations in Banach spaces ⋮ Convergence of descent method with new line search

Cites Work

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• A convergence theorem for Newton-like methods in Banach spaces
• Local convergence of inexact Newton-like iterative methods and applications
• Local Convergence of Inexact Newton Methods
• 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
• Majorizing Sequences and Error Bounds for Iterative Methods
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
• On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations
• A Unified Convergence Theory for a Class of Iterative Processes

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