Results on Newton methods. II: Perturbed Newton-like methods in generalized Banach spaces

DOI10.1016/0096-3003(95)00118-2zbMath0851.65041OpenAlexW4230509268MaRDI QIDQ1914614

Ioannis K. Argyros

Publication date: 26 November 1996

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

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00118-2

zbMATH Keywords

convergenceerror estimatesnonlinear operator equationpartially ordered Banach spacegeneralized Banach spacegeneralized normperturbed Newton-like methods

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

• The secant method in generalized Banach spaces
• Über das Newtonsche Verfahren
• Das modifizierte Newton-Verfahren in verallgemeinerten Banach-Räumen
• A Convergence Test and Componentwise Error Estimates for Newton Type Methods
• Newton's method in generalized banach spaces
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