On the convergence of some methods for determining zeros of order-convex operators

DOI10.1007/BF02243422zbMath0438.65058OpenAlexW286764735MaRDI QIDQ1142021

Michael A. Wolfe

Publication date: 1981

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02243422

zbMATH Keywords

convergenceexistenceBanach spaceoperator equationorder-convex operatorpartially ordered topological linear 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 (5)

Comparison theorems for monotone Newton-Fourier iterations and applications in functional elimination ⋮ Comparison theorems for a third order method ⋮ On order-interval methods for bounding zeros of order convex operators ⋮ Newton-like methods with monotone convergence for solving nonlinear operator equations ⋮ On the monotone convergence of Newton's method

Cites Work

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• An existence-convergence theorem for a class of iterative methods
• Zur Konvergenz des Verfahrens der tangierenden Hyperbeln und des Tschebyscheff-Verfahrens bei konvexen Abbildungen
• Extended iterative methods for the solution of operator equations
• Newton’s Method for Convex Operators in Partially Ordered Spaces

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