Newton—type methods under regular smoothness

DOI10.1080/01630569608816694zbMath0865.65041OpenAlexW2041867745MaRDI QIDQ4714539

A. M. Galperin, Z. Waksman

Publication date: 7 November 1996

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

Full work available at URL: https://doi.org/10.1080/01630569608816694

zbMATH Keywords

convergenceBanach spacesiterative methodsNewton-type methodsnonlinear operator equationsdegree of smoothnessregular smoothness

Mathematics Subject Classification ID

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

Related Items (3)

Ulm's method under regular smoothness ⋮ Secant method with regularly continuous divided differences ⋮ On Convergence Domains of Newton's and Modified Newton Methods

Cites Work

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• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• A convergence theorem for Newton-like methods in Banach spaces
• Newton's method under a weak smoothness assumption
• On a Newton-Moser type method
• Convergence of Newton-like methods for singular operator equations using outer inverses
• Newton's method under mild differentiability conditions
• Convergence domains of certain iterative methods for solving nonlinear equations
• A kantorovich-type theorem for inexact newton methods
• Regular smoothness and newton' method
• A Unified Convergence Theory for a Class of Iterative Processes

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