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.
Newton's Method; Iterative Methods; Convergence Analysis; Nonlinear Equations; Higher-Order Methods; Quadrature Formulas; Local Convergence; Multiple Roots; Derivative-Free Methods; Banach Spaces