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Local convergence and the dynamics of a family of high convergence order method for solving nonlinear equations

Magreñán, Á. Alberto ; Argyros, Ioannis K; Sarría, Íñigo ; Sicilia, Juan Antonio (AIP Conference Proceedings, 2018)

We present the local convergence analysis and the study of the dynamics of a higher order iterative method in order to approximate a locally unique solution of multiplicity greater than one of a nonlinear equation. The ...