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

A numerical comparison is performed between three methods of third order with the same structure, namely BSC, Halley’s and Euler–Chebyshev’s methods. As the behavior of an iterative method applied to a nonlinear equation can be highly sensitive to the starting points, the numerical comparison is carried out, allowing for complex starting points and for complex roots, on the basins of attraction in the complex plane. Several examples of algebraic and transcendental equations are presented.

25 de Abril para sempre? "Fascismo" nunca mais?

Nem está garantido que o “25 de Abril seja para sempre”. O mais certo é que não esteja. Nem está assegurado, qual verdade ontológica, que não haverá mais “fascismo” ou um outro “Estado Novo de inspiração fascista”, como alguns preferem descrever o período histórico vivido em Portugal entre 1933 (com raízes em 1928 após eleição de Óscar Carmona) e o 25 de Abril de 1974. O mais certo é que surjam novos tipos de “fascismo”. § Abstract: Neither is guaranteed that the "April 25th is forever." Most likely it is not. Neither is assured, what ontological truth, there will be no more "fascism" or another "New State of fascist inspiration," as some prefer to describe the historical period lived in Portugal between 1933 (with roots in 1928 after Óscar Carmona Election) and April 25, 1974. most likely there are new types of "fascism."