Results about monotone convergence of Steffensen-like-methods

DOI10.1007/BF01941470zbMath0476.65037MaRDI QIDQ1159950

N. Schneider

Publication date: 1981

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

upper and lower boundsmonotone convergencepartially ordered Banach spaces21, 347-354 (1981)Steffensen-like-methods

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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 (3)

Sign matrix, regular splittings and monotonic enclosure of solutions for nonlinear system of equations. II ⋮ Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros ⋮ Iterative Einschließung von Lösungen nichtlinearer Operatorgleichungen und Bestimmung von Startnäherungen

Cites Work

• Monotonieeigenschaften des Steffensen-Verfahrens
• Eingrenzung von Lösungen mit Hilfe der Regula falsi. (Inclusion of solutions by regula falsi)
• The method of successive approximations for functional equations
• Newton’s Method for Convex Operators in Partially Ordered Spaces
• Konvergenzgeschwindigkeit der Regula falsi und des Steffensen‐Verfahrens im Banachraum

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