Convergence of Newton–Kantorovich Approximations to an Approximate Zero

DOI10.1080/01630560701348491zbMath1121.47053OpenAlexW2094446775MaRDI QIDQ5297952

Filomena Cianciaruso

Publication date: 16 July 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701348491

zbMATH Keywords

Newton-Kantorovich approximationsapproximate zerosanalytic operatorsapproximate zeros of second kind

Mathematics Subject Classification ID

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

Related Items (5)

Robust semi-local convergence analysis for inexact Newton method ⋮ Expanding the applicability of Newton's method using Smale's \(\alpha\)-theory ⋮ Two-step Newton methods ⋮ An extension of a theorem by Wang for Smale's \(\alpha\)-theory and applications ⋮ Extended convergence results for the Newton-Kantorovich iteration

Cites Work

• Unnamed Item
• On a theorem of S. Smale about Newton's method for analytic mappings
• On the Newton-Kantorovich hypothesis for solving equations
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates

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