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Ball convergence of a sixth-order Newton-like method based on means under weak conditions
(Journal of Mathematical Chemistry, 2018-08)
We study the local convergence of a Newton-like method of convergence order six to approximate a locally unique solution of a nonlinear equation. Earlier studies show convergence under hypotheses on the seventh derivative ...
Local convergence and the dynamics of a family of high convergence order method for solving nonlinear equations
(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 ...