Das modifizierte Newton-Verfahren in verallgemeinerten Banach-Räumen

DOI10.1007/BF01389640zbMath0504.65033OpenAlexW361706993MaRDI QIDQ1836277

Peter Wilhelm Meyer

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132890

zbMATH Keywords

convergencea posteriori error estimatesmodified Newton methodgeneralized Banach space

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)

Related Items (7)

Newton's method in generalized banach spaces ⋮ Results on Newton methods. II: Perturbed Newton-like methods in generalized Banach spaces ⋮ A unifying theorem for Newton's method on spaces with a convergence structure ⋮ A unifying theorem on newton's method ⋮ The secant method in generalized Banach spaces ⋮ Results on Newton methods. II: Perturbed Newton-like in generalized Banach spaces ⋮ A unified derivation of several error bounds for Newton's process

Cites Work

• Über das Newtonsche Verfahren
• Nichtlineare Majoranten beim Verfahren der schrittweisen Näherung
• Funktionalgleichungen und Iterationsverfahren
• Error bounds for computed eigenvalues and eigenvectors
• On a class of approximate iterative processes
• Über Bernoullische Zahlen in reell-quadratischen Zahlkörpern
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