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Generating Root-Finder Iterative Methods of Second Order: Convergence and Stability
(Axioms, 2019-05-06)
In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, showing ...
Wide stability in a new family of optimal fourth-order iterative methods
(Blackwell Publishing Ltd, 2019)
A new family of two-steps fourth-order iterative methods for solving nonlinear equations is introduced based on the weight functions procedure. This family is optimal in the sense of Kung-Traub conjecture and it is extended ...