On Ulm's method for Fréchet differentiable operators

DOI10.1007/S12190-008-0194-5zbMath1179.65057OpenAlexW1970121602MaRDI QIDQ1034953

Ioannis K. Argyros

Publication date: 9 November 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0194-5

zbMATH Keywords

Banach spacesNewton's methodnumerical examplesFréchet derivativenonlinear operator equationUlam's methodUlm's method

Mathematics Subject Classification ID

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

Related Items (3)

Incomplete Newton-Ulm method for large scale nonlinear equations ⋮ An Ulm-type method with \(R\)-order of convergence three ⋮ Unnamed Item

Cites Work

• On a Newton-Moser type method
• Funktionalgleichungen und Iterationsverfahren
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• Computational theory of iterative methods.
• Stable and Random Motions in Dynamical Systems
• Inversionsfreie Verfahren zur Lösung nichtlinearer Operatorgleichungen
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