Ulm's method without derivatives

DOI10.1016/j.na.2009.01.044zbMath1179.47058OpenAlexW2086781168MaRDI QIDQ1030105

J. Blot

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.044

zbMATH Keywords

convergence analysisiterative methodsfunctional equationsnonlinear operator equations

Mathematics Subject Classification ID

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

Related Items (3)

An inverse free Broyden's method for solving equations ⋮ Optimal Secant-Type Methods for Operator Equations ⋮ Optimal Iterative Methods for Nonlinear Equations

Cites Work

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• Funktionalgleichungen und Iterationsverfahren
• The secant method and divided differences Hölder continuous
• A uniparametric family of iterative processes for solving nondifferentiable equations
• The secant method for nondifferentiable operators
• Semilocal convergence of the secant method under mild convergence conditions of differentiability
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• Secant method with regularly continuous divided differences
• Inversionsfreie Verfahren zur Lösung nichtlinearer Operatorgleichungen
• Regular smoothness and newton' method
• Ulm's method under regular smoothness
• On Convergence Domains of Newton's and Modified Newton Methods

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