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Iterative Methods for Nonlinear Equations

This cluster of papers focuses on the convergence analysis and improvement of iterative methods, particularly Newton's method, for solving nonlinear equations. It explores higher-order methods, quadrature formulas, local convergence in Banach spaces, and derivative-free approaches to handle multiple roots.

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Newton's MethodIterative MethodsConvergence AnalysisNonlinear EquationsHigher-Order MethodsQuadrature FormulasLocal ConvergenceMultiple RootsDerivative-Free MethodsBanach Spaces