Monotone iterative methods for nonlinear operator equations∗)
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Publication:3776512
DOI10.1080/01630568708816262zbMath0636.65056OpenAlexW2044754862MaRDI QIDQ3776512
Publication date: 1987
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630568708816262
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)
Sign matrix, regular splittings and monotonic enclosure of solutions for nonlinear system of equations. II ⋮ On the monotone convergence of general Newton-like methods ⋮ On the monotone convergence of algorithmic models ⋮ Affine-invariant monotone iteration methods with application to systems of nonlinear two-point boundary value problems ⋮ The convex-decomposable operator equation and its monotonic inclusive iteration
Cites Work
- Enclosing methods in perturbed nonlinear operator equations
- On the monotone convergence of Newton's method
- On a monotone Newton-like method
- Monotone Einschließung durch Verfahren vom Regula-falsi-Typ unter Verwendung eines verallgemeinerten Steigungsbegriffes
- On the R-order of coupled sequences
- Ableitungsfreie Verfahren mit höherer Konvergenzgeschwindigkeit
- Eingrenzung von Lösungen mit Hilfe der Regula falsi. (Inclusion of solutions by regula falsi)
- The method of successive approximations for functional equations
- On a class of iterative procedures with monotone convergence*}
- 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
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