Generalized iteration methods for bounds of the solution of fixed point operator-equations

DOI10.1007/BF02281719zbMath0413.65046OpenAlexW399006150MaRDI QIDQ598779

E. Kaucher, Siegfried Michael Rump

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02281719

zbMATH Keywords

fixed point theoremsiteration methodsorder relationinclusion relationbounds for fixed pointsinterval-arithmeticiteration operators

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Interval and finite arithmetic (65G30) 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

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• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• A Test for Existence of Solutions to Nonlinear Systems
• Monotone Einschließung mit der Regula falsi bei konvexen Funktionen
• A modified regula falsi method for computing the root of an equation

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