Symmetry in the Multidimensional Dynamical Analysis of Iterative Methods with Memory

[EN] In this paper, new tools for the dynamical analysis of iterative schemes with memory for solving nonlinear systems of equations are proposed. These tools are in concordance with those of the scalar case and provide interesting results about the symmetry and wideness of the basins of attraction on different iterative procedures with memory existing in the literature.
This research was partially supported by Grant PGC2018-095896-B-C22, funded by MCIN/ AEI/10.13039/5011000113033 by ERDF A way of making Europe, European Union; by the internal research project ADMIREN of Universidad Internacional de La Rioja (UNIR); and partially supported by Universitat Politècnica de València Contrato Predoctoral PAID-01-20-17 (UPV).