A New Family of Optimal Fourth‐Order Iterative Methods for Solving Nonlinear Equations With Applications
Ali Zein
Abstract:A new family of fourth‐order iterative methods for solving nonlinear equations is proposed using the weight function procedure. This family is optimal in the sense of the Kung–Traub conjecture, as it requires three function evaluations per iteration. Due to its flexible structure, the new family offers a variety of options, demonstrating that it includes several well‐known and recent methods as special cases. In particular, three new specific methods are designed to achieve better results compared to existing … Show more
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