The Theory and Applications of Iteration Methods
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Publication:5163775
DOI10.1201/9781003128915zbMath1485.65001OpenAlexW4205246695MaRDI QIDQ5163775
Publication date: 8 November 2021
Full work available at URL: https://doi.org/10.1201/9781003128915
monotonicityconvergencefixed pointsBanach spacesnumerical examplesNewton methodsiteration methodspartially ordered spacesingle step methods
Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (8)
Local convergence of an optimal method of order four for solving non-linear system ⋮ On the complexity of convergence for high order iterative methods ⋮ Enhancing the practicality of Newton-Cotes iterative method ⋮ Generalized convergence conditions for the local and semilocal analyses of higher order Newton-type iterations ⋮ On the convergence of open Newton's method ⋮ On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property ⋮ Extended Kantorovich theory for solving nonlinear equations with applications ⋮ Extended three step sixth order Jarratt-like methods under generalized conditions for nonlinear equations
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