An interval version of Chebyshev's method for nonlinear operator equations

DOI10.1016/0362-546X(83)90100-1zbMath0505.65015MaRDI QIDQ4742227

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Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceexistenceuniquenessBanach function spaceinterval arithmeticChebyshev's methodKantorovich theoreminterval version of Newton's method

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

On some classical existence theorems

Cites Work

• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• A Comparison of the Existence Theorems of Kantorovich and Moore
• A Test for Existence of Solutions to Nonlinear Systems
• Bounding Sets in Function Spaces with Applications to Nonlinear Operator Equations
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