A Theory of Interval Iteration

DOI10.2307/2043598zbMath0508.65024OpenAlexW4250413012MaRDI QIDQ4746737

Louis B. Rall

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043598

zbMATH Keywords

existencenonexistenceinterval iterationlower and upper boundspartially ordered topological spaces

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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• Mean value forms in interval analysis
• Interval extensions and interval iterations
• Stability and convergence of monotonic algorithms
• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• A Comparison of the Existence Theorems of Kantorovich and Moore
• A Test for Existence of Solutions to Nonlinear Systems
• Safe Starting Regions for Iterative Methods

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