On a class of iterative procedures with monotone convergence*}

DOI10.1080/01630568308816152zbMath0572.65044OpenAlexW2047885482MaRDI QIDQ3690112

Florian A. Potra, Jochen W. Schmidt

Publication date: 1983

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568308816152

zbMATH Keywords

Newton's methoditerative methodssecant methodmonotone convergenceorder convex operatorspartially ordered linear topological spaces

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 (3)

Sign matrix, regular splittings and monotonic enclosure of solutions for nonlinear system of equations. II ⋮ Newton-like methods with monotone convergence for solving nonlinear operator equations ⋮ Monotone iterative methods for nonlinear operator equations^∗)

Cites Work

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• Monotonically convergent iterative method for nonlinear systems of equations
• Monotoniesätze für Regula-falsi- und Newton-Verfahren. (Monotonicy theorems for regula-falsi and Newton method)
• Eingrenzung von Lösungen mit Hilfe der Regula falsi. (Inclusion of solutions by regula falsi)
• Eingrenzung von Lösungen nichtlinearer Gleichungen durch Verfahren mit höherer Konvergenzgeschwindigkeit. (Inclusion of solutions of nonlinear equations by methods with higher convergence rate).
• The method of successive approximations for functional equations
• Monoton einschließend konvergente iterationsprozesse vom gauß‐seidel‐typ zur lösung nichtlinearer gleichungssysteme im R^N und anwendungen
• Newton’s Method for Convex Operators in Partially Ordered Spaces
• Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
• PRACTICAL MONOTONOUS ITERATIONS FOR NONLINEAR EQUATIONS
• Monotone Einschließung mit der Regula falsi bei konvexen Funktionen

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