Concerning the convergence of inexact Newton methods

DOI10.1016/S0377-0427(96)00162-8zbMath0881.65048MaRDI QIDQ1356996

Ioannis K. Argyros

Publication date: 13 January 1998

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

zbMATH Keywords

convergencenonlinear operator equationinexact Newton method

Mathematics Subject Classification ID

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

Related Items (3)

The inexact, inexact perturbed, and quasi-Newton methods are equivalent models ⋮ Inexact perturbed Newton methods and applications to a class of Krylov solvers ⋮ A short survey on Kantorovich

Cites Work

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• The secant method in generalized Banach spaces
• Some notions of nonstationary multistep iteration processes
• A Convergence Test and Componentwise Error Estimates for Newton Type Methods
• Newton's method in generalized banach spaces
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• A unifying theorem on newton's method
• Newton’s Method for Convex Operators in Partially Ordered Spaces

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