## Contrasts in the basins of attraction of structurally identical iterative root finding methods

- Mário Basto, Luís P. Basto, Viriato Semião, Francisco L. Calheiros
- Applied Mathematics and Computation
- 2013

Highly Influenced

@article{Scott2011BasinAF, title={Basin attractors for various methods}, author={Melvin Scott and Beny Neta and Changbum Chun}, journal={Applied Mathematics and Computation}, year={2011}, volume={218}, pages={2584-2599} }

- Published 2011 in Applied Mathematics and Computation
DOI:10.1016/j.amc.2011.07.076

M. Scott et al. / Applied Mathematics and Computation 218 (2011) 2584–2599 2585 (1) How does the basin of attraction differ for algorithms with the same order of convergence. (2) How does the basin of attraction differ for algorithms with different order of convergence. (3) Can the differences be used to compare various algorithms? In this paper we will discuss some qualitative issues using the basin of attraction as a criterion for comparison. To this end, we shall recall some preliminaries… CONTINUE READING